CN104879115B - A kind of downhole drill determination method for parameter and device - Google Patents

A kind of downhole drill determination method for parameter and device Download PDF

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CN104879115B
CN104879115B CN201510248898.9A CN201510248898A CN104879115B CN 104879115 B CN104879115 B CN 104879115B CN 201510248898 A CN201510248898 A CN 201510248898A CN 104879115 B CN104879115 B CN 104879115B
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msub
mrow
drill string
node
mfrac
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CN104879115A (en
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崔猛
汪海阁
葛云华
陈志学
张晋文
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China National Petroleum Corp
CNPC Engineering Technology R&D Co Ltd
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China National Petroleum Corp
CNPC Drilling Research Institute Co Ltd
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Abstract

The embodiment of the present application provides a kind of downhole drill determination method for parameter and device, wherein, this method includes:Drill string node is determined according to default step-length successively from well head to drill bit direction;Obtain the well deviational survey data of each measuring point, and the rate of deviation according to the drill string node between every two measuring point of well deviational survey data calculating and the rate of azimuth change of drill string node;With reference to obtained rate of deviation and rate of azimuth change is calculated, the geological information of each drill string node is determined;Determine the moment of inertia and line buoyant weight of each drill string node;Obtain the axial tension of well head drill string and the moment of torsion of well head drill string;Using the default drill string tension and torque differential equation, with reference to the axial tension and well head drill string torque of the geological information of each drill string node, the moment of inertia, line buoyant weight and well head drill string, downhole drill parameter is calculated.The technical scheme provided using the embodiment of the present application can accurately determine the actual condition of underground.

Description

A kind of downhole drill determination method for parameter and device
Technical field
The present invention relates to technical field of geophysical exploration, more particularly to a kind of downhole drill determination method for parameter and dress Put.
Background technology
During geophysical exploration, information technology develop rapidly cause in further detail and more Large Copacity drilling well number According to can be stored in sensor module memory, and a series of dynamic parameters are enable to be real-time transmitted to ground level control room at a high speed or long-range Control Room, is driller and drilling engineer's optimization drilling parameter, identification underground bottleneck factor, excavates drilling speed potentiality and improve overall Drilling well performance provides reliable real time data and supported.
At present, the domestic technology grasped to shaft bottom dynamic pickup is also transmitted without massive store and real time high-speed Dual-use function, and pipe nipple high temperature resistant, high pressure is limited in one's ability.In addition international larger hydrocarbon service company monopolizes underground height E measurement technology and EQUIPMENT MARKET GUIDE are held, causes the expense of underground survey pipe nipple too high, Domestic Oil And Gas Fields are gathered in down-hole information and transmitted The double challenge of technology and cost is faced with terms of analysis.Comprehensive logging instrument is as ground with brill data collecting system for optimization Drilling well tool is of great significance.Earth's surface acquisition system provide engineering parameter and drilling fluid situation of change can be used for diagnosis and Predictive engine is abnormal, but is due to that ground surface works data and downhole drill information difference that comprehensive logging system is gathered are very big, such as Fruit only obtains these ground surface works data and is difficult to the actual condition of true reflection underground, and ultimately results in underground real working condition Differentiation produce erroneous judgement.
The content of the invention
The purpose of the application is to provide a kind of downhole drill determination method for parameter and device, accurately to determine underground Actual condition.
To achieve these goals, this application provides a kind of method of the determination of downhole drill parameter, this method includes:
Drill string node is determined according to default step-length successively from well head to drill bit direction;
The well deviational survey data of each measuring point are obtained, and the drill string between every two measuring point is calculated according to the well deviational survey data The rate of deviation of node and the rate of azimuth change of drill string node;
With reference to obtained rate of deviation and rate of azimuth change is calculated, the geological information of each drill string node is determined;
Determine the moment of inertia and line buoyant weight of each drill string node;
Obtain the axial tension of well head drill string and the moment of torsion of well head drill string;
Using the default drill string tension and torque differential equation, floated with reference to the geological information of each drill string node, the moment of inertia, line The axial tension and well head drill string torque of weight and well head drill string, determine downhole drill parameter.
In a preferred embodiment, the well deviational survey data include:Hole angle, azimuth and well depth.
In a preferred embodiment, the geological information includes:Hole angle, azimuth, drill string curvature, drill string curvature Rate of change, the rate of change of drill string curvature variation, drill string torsion and drill string torsion rate of change.
In a preferred embodiment, the moment of inertia and line buoyant weight for determining each drill string node includes:
The drill string internal diameter at the drill string external diameter and the drill string node at the drill string node is obtained, and is bored according to described Post external diameter and the drill string internal diameter calculate the moment of inertia of drill string node;
Obtain the drilling fluid density at the drill string node, the drill string steel density at the drill string node and described The aerial line weight of drill string at drill string node, and according to the drilling fluid density, the drill string steel density and described The line buoyant weight of the aerial line re-computation drill string node of drill string.
In a preferred embodiment, the axial tension for obtaining well head drill string includes:
The ground weight indicator reading during real bore, lifting system is obtained effectively to restrict the transmission effect of number and single pulley Rate;
Hook is determined according to effectively the restrict transmission efficiency of number and single pulley of the ground weight indicator reading, lifting system Load, and it regard the weight on hook as well head drill string axial tension.
In a preferred embodiment, the downhole drill parameter includes:Drill bit axial tension and torque-on-bit.
In a preferred embodiment, the downhole drill parameter also includes:Drill bit axial tension, drill string rub along journey Resistance.
In a preferred embodiment, the default drill string tension and torque differential equation is as follows:
Wherein,
Wherein, MiThe moment of torsion at i-th of drill string node is represented, unit is Nm;TiRepresent the brill at i-th of drill string node Post axial tension, unit is N;NiThe normal pressure between drill string and the borehole wall at i-th of drill string node is represented, unit is N;NbiRepresent NiIn subnormal durection component, unit is N;NniRepresent NiIn principal normal durection component, unit is N;miRepresent the outer of mud generation Portion's moment of torsion, unit is Nm;f1iRepresent circumferential coefficient of friction at i-th of drill string node;BiRepresent mud at i-th of drill string node The axial force that shear force is produced, unit is N;CiThe axial force that mud viscosity is produced at i-th of drill string node is represented, unit is N;f2i Represent axial rub coefficient at i-th of drill string node;giThe line buoyant weight at i-th of drill string node is represented, unit is N/m;The component of line buoyant weight tangential direction at i-th of drill string node is represented, unit is N/m;Represent i-th of drill string section The component in line buoyant weight principal normal direction at point, unit is N/m;Represent line buoyant weight binormal side at i-th of drill string node To component, unit is N/m;Represent drill string rate of deviation at i-th of drill string node;Represent i-th of drill string node Locate drill string rate of azimuth change;IiDrill string the moment of inertia at i-th of drill string node is represented, unit is m4;KbiRepresent i-th of drill string node Locate drill string curvature, unit is 1/m;KniDrill string torsion at i-th of drill string node is represented, unit is 1/m;F represents frictional system Number;ViTo be pulled out of hole or speed uplink at i-th of drill string node, unit is m/s;ωiDrill string rotating speed at i-th of drill string node is represented, Unit is 1/s;τiDrilling fluid yield value at i-th of drill string node is represented, unit is pa;μiDrilling fluid viscosity is represented, unit is pa·s;EiThe modulus of elasticity of drill string steel at i-th of drill string node is represented, unit is pa;L represents drill string length, and unit is m; αiRepresent drill string hole angle at i-th of drill string node;DWiBorehole diameter at i-th of drill string node is represented, unit is m;DiRepresent Drill string external diameter at i-th of drill string node, unit is m.
In a preferred embodiment, the determination downhole drill parameter includes:
Drill string torque increment, the drill string node at drill string node are determined according to the default drill string tension and torque differential equation Friction drag increment at the drill string axial tension increment and drill string node at place;
The moment of torsion of each drill string node is determined according to below equation, and by apart from the torsion of the maximum drill string node of well head distance Square is used as torque-on-bit:
Mi=Mi-1+ΔMi
In above formula, MiRepresent the moment of torsion at i-th of drill string node;Mi-1Represent the moment of torsion at the i-th -1 drill string node;ΔMi The drill string torque increment at i-th of drill string node is represented, wherein, the distance between i-th of drill string node and well head are more than i-th -1 The distance between individual drill string node and well head;
The axial tension of each drill string node is determined according to below equation, and by apart from the maximum drill string node of well head distance Axial tension be used as drill bit axial tension:
Ti=Ti-1+ΔTi
In above formula, TiRepresent the drill string axial tension at i-th of drill string node;Ti-1Represent at the i-th -1 drill string node Drill string axial tension;ΔTiRepresent the drill string axial tension increment at i-th of drill string node;
The friction drag of drill string is determined according to below equation::
F=F1+F2+...+Fi-1+Fi
In above formula, F represents drill string friction drag;FiRepresent the friction drag at i-th of drill string node;Fi-1Represent i-th -1 Friction drag at individual drill string node;Wherein, Fi=f2iNi+CiVi+Bi
On the other hand the application also provides a kind of determining device of downhole drill parameter, and the device includes:
Drill string node determining unit, for determining drill string node successively from well head to drill bit direction according to default step-length;
Computing unit, the well deviational survey data for obtaining each measuring point, and calculate every according to the well deviational survey data The rate of deviation of drill string node between two measuring points and the rate of azimuth change of drill string node;
First data determination unit, for reference to obtained rate of deviation and rate of azimuth change is calculated, determining that each is bored The geological information of Column border node;
Second data determination unit, the moment of inertia and line buoyant weight for determining each drill string node;
Well head data capture unit, for obtaining the axial tension of well head drill string and the moment of torsion of well head drill string;
Downhole drill parameter determination unit, for using the default drill string tension and torque differential equation, with reference to each drill string section The axial tension and well head drill string torque of geological information, the moment of inertia, line buoyant weight and the well head drill string put, determine downhole drill Parameter.
From the embodiment of a kind of downhole drill determination method for parameter of above the application and device, the embodiment of the present application The technical scheme of offer obtains the drill string by determining drill string node successively from well head to drill bit direction according to default step-length Geological information, the moment of inertia of drill string node, the line buoyant weight of drill string node, the axial tension of well head drill string and the well head drill string of node Moment of torsion.Then default geological information, the drill string section of the drill string tension and torque differential equation with reference to the drill string node is utilized The moment of torsion of the moment of inertia, the line buoyant weight of the drill string node, the axial tension of the well head drill string and the well head drill string put Obtain downhole drill parameter.The downhole drill parameter information and surface data are subjected to organic combination, it is possible to achieve more adduction Manage, more efficiently optimize drillng operation, real-time diagnosis underground working.
Brief description of the drawings
, below will be to embodiment or existing in order to illustrate more clearly of the embodiment of the present application or technical scheme of the prior art There is the accompanying drawing used required in technology description to be briefly described, it should be apparent that, drawings in the following description are only this Some embodiments described in application, for those of ordinary skill in the art, are not paying the premise of creative labor Under, other accompanying drawings can also be obtained according to these accompanying drawings.
Fig. 1 is a kind of flow chart of the embodiment of downhole drill determination method for parameter of the application;
Fig. 2 is a kind of schematic diagram of the determining device for downhole drill parameter that the embodiment of the present application is provided.
Embodiment
In order that those skilled in the art more fully understand the technical scheme in the application, it is real below in conjunction with the application The accompanying drawing in example is applied, the technical scheme in the embodiment of the present application is clearly and completely described, it is clear that described implementation Example only some embodiments of the present application, rather than whole embodiments.Based on the embodiment in the application, this area is common The every other embodiment that technical staff is obtained under the premise of creative work is not made, should all belong to the application protection Scope.
Below implementing for the embodiment of the present application is described in detail with several specific examples.
Introduce a kind of embodiment of downhole drill determination method for parameter of the application first below.With reference to accompanying drawing 1, the implementation Example includes:
S110:Drill string node is determined according to default step-length successively from well head to drill bit direction.
In certain embodiments, default step-length here is can be pre-set according to actual drilling well situation, typically may be used Think 10m;Here drill string node is the node divided according to default step-length, namely when default step-length is 10m, is set per 10m Put a drill string node.
S120:The well deviational survey data of each measuring point are obtained, and according between every two measuring point of well deviational survey data calculating Drill string node rate of deviation and the rate of azimuth change of drill string node.
In some embodiments it is possible to the well deviational survey data of each measuring point during real bore are obtained, and according to the well Eye deviational survey data calculate rate of deviation and the rate of azimuth change of drill string node of the drill string node between two measuring points.Here measuring point Interval be uncertain, in drilling process it is usual 10 to 30 meters survey once, therefore, between two measuring points can have one or many Individual drill string node.Here well deviational survey data can include:The well of the hole angle of measuring point, the azimuth of measuring point and measuring point It is deep.According to the rate of deviation of drill string node and the Orientation differences of drill string node between the well deviational survey data two measuring points of calculating Rate.Specifically, it is possible to use formula is calculated as below:
i=(αjj-1)/(Lj-Lj-1)
In above formula, d αiThe rate of deviation at i-th of drill string node is represented, i is drill string nodes, i=1,2 ..., i- 1,i,…;αjThe hole angle at j-th of measuring point is represented, j is measuring point number, j=1,2 ..., j-1, i ...;αj-1Represent jth -1 Hole angle at measuring point;LjRepresent the well depth at j-th of measuring point;Lj-1Represent the well depth at -1 measuring point of jth;
i=(φjj-1)/(Lj-Lj-1)
In above formula, d φiRepresent the rate of azimuth change at i-th of drill string node;φjRepresent the azimuth at j-th of measuring point; φj-1Represent the azimuth at -1 measuring point of jth;LjRepresent the well depth at j-th of measuring point;Lj-1Represent at -1 measuring point of jth Well depth.
Furthermore, it is necessary to further illustrate, first drill string node namely first measuring point.
S130:With reference to obtained rate of deviation and rate of azimuth change is calculated, the geological information of each drill string node is determined.
In certain embodiments, calculate the rate of deviation of drill string node in step S120 and the orientation of drill string node becomes After rate, it can combine and calculate obtained rate of deviation and rate of azimuth change, determine the geological information of each drill string node. In certain embodiments, the geological information can include:Hole angle, azimuth, drill string curvature, drill string curvature variation, brill Rate of change, drill string torsion and the drill string torsion rate of change of post curvature variation.Specifically, it is possible to use formula is calculated as below Determine the geological information of drill string node:
Li=h × (i-1)
In above formula, LiThe well depth at i-th of drill string node is represented, unit is m;H represents default step-length, and unit is m;
αij-1+dαi×(Li-Lj-1)
In above formula, αiRepresent the hole angle at i-th of drill string node;αj-1Represent the hole angle of -1 measuring point of jth;dαiGeneration Rate of deviation at i-th of drill string node of table;LiThe well depth at i-th of drill string node is represented, unit is m;Lj-1Represent jth- The well depth of 1 measuring point, unit is m;
φij-1+dφi×(Li-Lj-1)
In above formula, φiRepresent the azimuth at i-th of drill string node;φj-1Represent the azimuth of -1 measuring point of jth;dφi Represent the rate of azimuth change at i-th of drill string node;LiThe well depth at i-th of drill string node is represented, unit is m;Lj-1Represent The well depth of j-1 measuring point, unit is m;
In above formula, KbiThe drill string curvature at i-th of drill string node is represented, unit is 1/m;dαiRepresent i-th of drill string node The rate of deviation at place;αiRepresent the hole angle at i-th of drill string node;dφiRepresent the Orientation differences at i-th of drill string node Rate;
In above formula, dKbiRepresent the drill string curvature variation at i-th of drill string node;KbiRepresent at i-th of drill string node Drill string curvature, unit is 1/m;Kbi-1The drill string curvature at the i-th -1 drill string node is represented, unit is 1/m;H represents default Step-length, unit is m;
In above formula, ddKbiRepresent the rate of change of the drill string curvature variation at i-th of drill string node;dKbiRepresent i-th Drill string curvature variation at drill string node;dKbi-1Represent the drill string curvature variation at the i-th -1 drill string node;
In above formula, KniThe drill string torsion at i-th of drill string node is represented, unit is 1/m;KbiRepresent i-th of drill string node The drill string curvature at place, unit is 1/m;dαiRepresent the rate of deviation at i-th of drill string node;αiRepresent i-th of drill string node The hole angle at place;dφiRepresent the rate of azimuth change at i-th of drill string node;
In above formula, dKniRepresent the drill string torsion rate of change at i-th of drill string node;KniRepresent at i-th of drill string node Drill string torsion, unit is 1/m;Kni-1The drill string torsion at the i-th -1 drill string node is represented, unit is 1/m;H represents default Step-length, unit is m;
S140:Determine the moment of inertia and line buoyant weight of each drill string node.
In certain embodiments, the moment of inertia and line buoyant weight of each drill string node are determined, specifically, the brill can be obtained The drill string internal diameter at drill string external diameter and the drill string node at Column border node, and according to the drill string external diameter and the drill string Internal diameter calculates the moment of inertia of drill string node;Here drill string external diameter and drill string internal diameter can be obtained according to specific drilling tool information Take.Specific formula for calculation is as follows:
In above formula, IiThe moment of inertia at i-th of drill string node is represented, unit is m4;DiRepresent and bored at i-th of drill string node Post external diameter, unit is m;diDrill string internal diameter at the i-th drill string node is represented, unit is m;
Further, the drilling fluid density at the drill string node, the drill string steel at the drill string node can be obtained The aerial line weight of drill string at density and the drill string node, and according to the drilling fluid density, the drill string steel The line buoyant weight of density and the aerial line re-computation drill string node of the drill string.Here drilling fluid density, drill string steel Density and the aerial line weight of drill string can be obtained according to specific drilling condition.Specific calculation formula is as follows:
In above formula, giRepresent the line buoyant weight at i-th of drill string node;ρmuiDrilling fluid density is represented, unit is g/cm3; ρcasiDrill string steel density is represented, unit is g/cm3;pgiThe aerial line weight of drill string at i-th of drill string node is represented, it is single Position is N/m;
S150:Obtain the axial tension of well head drill string and the moment of torsion of well head drill string.
In certain embodiments, obtaining the axial tension of well head drill string can include:The ground during boring in fact is obtained to refer to Weight meter reading, lifting system are effectively restricted the transmission efficiency of number and single pulley;According to the ground weight indicator reading, lifting Effectively the restrict transmission efficiency of number and single pulley of system determines weight on hook, and the weight on hook is used as well head drill string axially to draw Power.Specifically, it is possible to use formula is calculated as below:
In above formula, WOH represents weight on hook;WOG represents weight indicator reading;N is that lifting system is effectively restricted number;η is single The transmission efficiency of pulley.
Further, the drill string axial tension at the well head drill string axial tension namely first measuring point, namely first Drill string axial tension at individual drill string node.
Further, the well head drill string torque can directly be measured in real drill-through journey, and the well head drill string torque Drill string torque at i.e. first measuring point, namely the drill string torque at first drill string node.
S160:Using the default drill string tension and torque differential equation, with reference to the geological information of each drill string node, the moment of inertia, The axial tension and well head drill string torque of line buoyant weight and well head drill string, determine downhole drill parameter.
In certain embodiments, using the default drill string tension and torque differential equation, believe with reference to the geometry of each drill string node Breath, the moment of inertia, the axial tension and well head drill string torque of line buoyant weight and well head drill string, determine downhole drill parameter.Specifically , the default drill string pulling force-moment of torsion differential equation is as follows:
Wherein,
Wherein, MiThe moment of torsion at i-th of drill string node is represented, unit is Nm;TiRepresent the brill at i-th of drill string node Post axial tension, unit is N;NiThe normal pressure between drill string and the borehole wall at i-th of drill string node is represented, unit is N;NbiRepresent NiIn subnormal durection component, unit is N;NniRepresent NiIn principal normal durection component, unit is N;miRepresent the outer of mud generation Portion's moment of torsion, unit is Nm;f1iRepresent circumferential coefficient of friction at i-th of drill string node;BiRepresent mud at i-th of drill string node The axial force that shear force is produced, unit is N;CiThe axial force that mud viscosity is produced at i-th of drill string node is represented, unit is N;f2i Represent axial rub coefficient at i-th of drill string node;giThe line buoyant weight at i-th of drill string node is represented, unit is N/m;The component of line buoyant weight tangential direction at i-th of drill string node is represented, unit is N/m;Represent i-th of drill string The component in line buoyant weight principal normal direction at node, unit is N/m;Represent line buoyant weight binormal at i-th of drill string node The component in direction, unit is N/m;Represent drill string rate of deviation at i-th of drill string node;Represent i-th of drill string Drill string rate of azimuth change at node;IiDrill string the moment of inertia at i-th of drill string node is represented, unit is m4;KbiRepresent i-th of drill string Drill string curvature at node, unit is 1/m;KniDrill string torsion at i-th of drill string node is represented, unit is 1/m.
In addition, also including in above-mentioned formula:F represents frictional coefficient;ViTo be pulled out of hole or up at i-th of drill string node Speed, unit is m/s;ωiDrill string rotating speed at i-th of drill string node is represented, unit is 1/s;τiRepresent at i-th of drill string node Drilling fluid yield value, unit is pa;μiDrilling fluid viscosity is represented, unit is pas;EiRepresent drill string steel at i-th of drill string node The modulus of elasticity of material, unit is pa;L represents drill string length, and unit is m;αiRepresent drill string hole angle at i-th of drill string node; DWiBorehole diameter at i-th of drill string node is represented, unit is m;DiDrill string external diameter at i-th of drill string node is represented, unit is m. These data can be obtained during boring in fact.
By the data obtained during the above-mentioned real brill of each drill string node and the geometry for calculating the drill string node obtained Information, the moment of inertia of the drill string node, the line buoyant weight of the drill string node, the well head drill string axial tension and described Well head drill string torque, which substitutes into the default drill string tension and torque differential equation, can determine the drill string at each drill string node successively Torque increaseDrill string axial tension increment at each drill string nodeAnd being rubbed along journey at each drill string node Hinder increment f2iNi+CiVi+Bi.Obtaining the friction drag increment at each drill string node can include:Drawn according to the default drill string The power moment of torsion differential equation determines the normal pressure N between drill string and the borehole wall at each drill string nodeiIn subnormal durection component Nbi, with And the normal pressure N at each drill string node between drill string and the borehole walliIn principal normal durection component Nni, and according to each drill string node Locate the normal pressure N between drill string and the borehole walliIn subnormal durection component Nbi, and at each drill string node between drill string and the borehole wall Normal pressure NiIn principal normal durection component NniDetermine the normal pressure N between drill string and the borehole walli, and then each drill string can be obtained Friction drag increment f at node2iNi+CiVi+Bi
In some embodiments it is possible to determine the moment of torsion of each drill string node according to below equation, and will apart from well head away from Moment of torsion from maximum drill string node is used as torque-on-bit:
Mi=Mi-1+ΔMi
In above formula, MiRepresent the moment of torsion at i-th of drill string node;Mi-1Represent the moment of torsion at the i-th -1 drill string node;ΔMi Represent in the drill string torque increment at i-th of drill string node, namely the default drill string tension and torque differential equationIts In, the distance between i-th of drill string node and well head are more than the distance between the i-th -1 drill string node and well head;As i=1, M1Represent well head drill string torque.
In some embodiments it is possible to the axial tension of each drill string node is determined according to below equation, and will be apart from well The axial tension of the maximum drill string node of mouth distance is used as drill bit axial tension:
Ti=Ti-1+ΔTi
In above formula, TiRepresent the drill string axial tension at i-th of drill string node;Ti-1Represent at the i-th -1 drill string node Drill string axial tension;ΔTiThe drill string axial tension increment at i-th of drill string node is represented, namely the default drill string pulling force is turned round In the square differential equationAs i=1, T1Represent well head drill string axial tension.
In some embodiments it is possible to determine the friction drag of drill string according to below equation:
F=F1+F2+...+Fi-1+Fi
In above formula, F represents drill string friction drag;FiRepresent the friction drag at i-th of drill string node;Fi-1Represent i-th -1 Friction drag at individual drill string node;Wherein, Fi=f2iNi+CiVi+Bi
In certain embodiments, when drillstring motion state is slipping drilling, drill bit axial tension, drill string edge can be obtained Journey frictional resistance is used as downhole drill parameter;When drillstring motion state is rotary drilling, torque-on-bit, drill bit can be obtained and axially drawn Masterpiece is downhole drill parameter.
As can be seen here, a kind of technical scheme of the embodiment of downhole drill determination method for parameter of the application passes through according to pre- If step-length determines drill string node from well head to drill bit direction successively, and obtains the geological information of the drill string node, drill string node The moment of inertia, the line buoyant weight of drill string node, the moment of torsion of the axial tension of well head drill string and well head drill string.Then default drill string is utilized The tension and torque differential equation is with reference to the geological information of the drill string node, the moment of inertia of the drill string node, the drill string node Line buoyant weight, the moment of torsion of the axial tension of the well head drill string and the well head drill string obtain downhole drill parameter.Will be described Downhole drill parameter information and surface data carry out organic combination, it is possible to achieve more rationally, more efficiently optimize drilling well and make Industry, real-time diagnosis underground working.
On the other hand the application also provides a kind of determining device of downhole drill parameter, and with reference to accompanying drawing 2, the device 200 is wrapped Include:
Drill string node determining unit 210, for determining drill string node successively from well head to drill bit direction according to default step-length;
Computing unit 220, the well deviational survey data for obtaining each measuring point, and calculated according to the well deviational survey data The rate of deviation of drill string node between every two measuring point and the rate of azimuth change of drill string node;
First data determination unit 230, for reference to obtained rate of deviation and rate of azimuth change is calculated, determining each The geological information of drill string node;
Second data determination unit 240, the moment of inertia and line buoyant weight for determining each drill string node;
Well head data capture unit 250, for obtaining the axial tension of well head drill string and the moment of torsion of well head drill string;
Downhole drill parameter determination unit 260, for using the default drill string tension and torque differential equation, with reference to each drill string The geological information of node, the moment of inertia, the axial tension and well head drill string torque of line buoyant weight and well head drill string, determine downhole Bore parameter.
In a preferred embodiment, the well deviational survey data include:Hole angle, azimuth and well depth.
In a preferred embodiment, the geological information includes:Hole angle, azimuth, drill string curvature, drill string curvature Rate of change, the rate of change of drill string curvature variation, drill string torsion and drill string torsion rate of change.
In a preferred embodiment, second data determination unit 240 includes:
First computing module, for obtaining the drill string at the drill string external diameter and the drill string node at the drill string node Internal diameter, and according to the moment of inertia of the drill string external diameter and drill string internal diameter calculating drill string node;
Second computing module, for obtaining the drilling fluid density at the drill string node, the drill string at the drill string node The aerial line weight of drill string at steel density and the drill string node, and according to the drilling fluid density, the drill string The line buoyant weight of steel density and the aerial line re-computation drill string node of the drill string.
In a preferred embodiment, second data determination unit 240 includes:
First data acquisition module, for obtaining the ground weight indicator reading during well head drill string axial tension obtains real bore Number, lifting system are effectively restricted the transmission efficiency of number and single pulley;
First data determining module, for effectively being restricted number and single according to the ground weight indicator reading, lifting system The transmission efficiency of pulley determines weight on hook, and regard the weight on hook as well head drill string axial tension.
In a preferred embodiment, the downhole drill parameter includes:Drill bit axial tension and torque-on-bit.
In a preferred embodiment, the downhole drill parameter also includes:Drill bit axial tension, drill string rub along journey Resistance.
In a preferred embodiment, the default drill string tension and torque differential equation is as follows:
Wherein,
Wherein, MiThe moment of torsion at i-th of drill string node is represented, unit is Nm;TiRepresent the brill at i-th of drill string node Post axial tension, unit is N;NiThe normal pressure between drill string and the borehole wall at i-th of drill string node is represented, unit is N;NbiRepresent NiIn subnormal durection component, unit is N;NniRepresent NiIn principal normal durection component, unit is N;miRepresent the outer of mud generation Portion's moment of torsion, unit is Nm;f1iRepresent circumferential coefficient of friction at i-th of drill string node;BiRepresent mud at i-th of drill string node The axial force that shear force is produced, unit is N;CiThe axial force that mud viscosity is produced at i-th of drill string node is represented, unit is N;f2i Represent axial rub coefficient at i-th of drill string node;giThe line buoyant weight at i-th of drill string node is represented, unit is N/m;The component of line buoyant weight tangential direction at i-th of drill string node is represented, unit is N/m;Represent i-th of drill string section The component in line buoyant weight principal normal direction at point, unit is N/m;Represent line buoyant weight binormal side at i-th of drill string node To component, unit is N/m;Represent drill string rate of deviation at i-th of drill string node;Represent i-th of drill string node Locate drill string rate of azimuth change;IiDrill string the moment of inertia at i-th of drill string node is represented, unit is m4;KbiRepresent i-th of drill string node Locate drill string curvature, unit is 1/m;KniDrill string torsion at i-th of drill string node is represented, unit is 1/m;F represents frictional system Number;ViTo be pulled out of hole or speed uplink at i-th of drill string node, unit is m/s;ωiDrill string rotating speed at i-th of drill string node is represented, Unit is 1/s;τiDrilling fluid yield value at i-th of drill string node is represented, unit is pa;μiDrilling fluid viscosity is represented, unit is pa·s;EiThe modulus of elasticity of drill string steel at i-th of drill string node is represented, unit is pa;L represents drill string length, and unit is m; αiRepresent drill string hole angle at i-th of drill string node;DWiBorehole diameter at i-th of drill string node is represented, unit is m;DiRepresent Drill string external diameter at i-th of drill string node, unit is m.
In a preferred embodiment, the determination downhole drill parameter includes:
Drill string torque increment, the drill string node at drill string node are determined according to the default drill string tension and torque differential equation Friction drag increment at the drill string axial tension increment and drill string node at place;
The moment of torsion of each drill string node is determined according to below equation, and by apart from the torsion of the maximum drill string node of well head distance Square is used as torque-on-bit:
Mi=Mi-1+ΔMi
In above formula, MiRepresent the moment of torsion at i-th of drill string node;Mi-1Represent the moment of torsion at the i-th -1 drill string node;ΔMi The drill string torque increment at i-th of drill string node is represented, wherein, the distance between i-th of drill string node and well head are more than i-th -1 The distance between individual drill string node and well head;
The axial tension of each drill string node is determined according to below equation, and by apart from the maximum drill string node of well head distance Axial tension be used as drill bit axial tension:
Ti=Ti-1+ΔTi
In above formula, TiRepresent the drill string axial tension at i-th of drill string node;Ti-1Represent at the i-th -1 drill string node Drill string axial tension;ΔTiRepresent the drill string axial tension increment at i-th of drill string node;
The friction drag of drill string is determined according to below equation::
F=F1+F2+...+Fi-1+Fi
In above formula, F represents drill string friction drag;FiRepresent the friction drag at i-th of drill string node;Fi-1Represent i-th -1 Friction drag at individual drill string node;Wherein, Fi=f2iNi+CiVi+Bi
From the embodiment of a kind of downhole drill determination method for parameter of above the application and device, the embodiment of the present application The technical scheme of offer obtains the drill string by determining drill string node successively from well head to drill bit direction according to default step-length Geological information, the moment of inertia of drill string node, the line buoyant weight of drill string node, the axial tension of well head drill string and the well head drill string of node Moment of torsion.Then default geological information, the drill string section of the drill string tension and torque differential equation with reference to the drill string node is utilized The moment of torsion of the moment of inertia, the line buoyant weight of the drill string node, the axial tension of the well head drill string and the well head drill string put Obtain downhole drill parameter.The downhole drill parameter information and surface data are subjected to organic combination, it is possible to achieve more adduction Manage, more efficiently optimize drillng operation, real-time diagnosis underground working.
Each embodiment in this specification is described by the way of progressive, what each embodiment was stressed be with Between the difference of other embodiment, each embodiment identical similar part mutually referring to.It is real especially for system Apply for example, because it is substantially similar to embodiment of the method, so description is fairly simple, related part is referring to embodiment of the method Part explanation.
Although depicting the application by embodiment, it will be appreciated by the skilled addressee that the application have it is many deformation and Change is without departing from spirit herein, it is desirable to which appended claim includes these deformations and changed without departing from the application's Spirit.

Claims (9)

1. a kind of downhole drill determination method for parameter, it is characterised in that this method includes:
Drill string node is determined according to default step-length successively from well head to drill bit direction;
The well deviational survey data of each measuring point are obtained, and the drill string node between every two measuring point is calculated according to the well deviational survey data Rate of deviation and drill string node rate of azimuth change;
With reference to obtained rate of deviation and rate of azimuth change is calculated, the geological information of each drill string node is determined;
Determine the moment of inertia and line buoyant weight of each drill string node;
Obtain the axial tension of well head drill string and the moment of torsion of well head drill string;
Using the default drill string tension and torque differential equation, with reference to the geological information of each drill string node, the moment of inertia, line buoyant weight, with And the axial tension and well head drill string torque of well head drill string, determine downhole drill parameter;
Wherein, the default drill string tension and torque differential equation is as follows:
<mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mfrac> <mrow> <msub> <mi>dM</mi> <mi>i</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>L</mi> </mrow> </mfrac> <mo>=</mo> <msub> <mi>f</mi> <mrow> <mn>1</mn> <mi>i</mi> </mrow> </msub> <msub> <mi>r</mi> <mi>i</mi> </msub> <msub> <mi>N</mi> <mi>i</mi> </msub> <mo>+</mo> <msub> <mi>m</mi> <mi>i</mi> </msub> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mrow> <msub> <mi>dT</mi> <mi>i</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>L</mi> </mrow> </mfrac> <mo>+</mo> <msub> <mi>E</mi> <mi>i</mi> </msub> <msub> <mi>I</mi> <mi>i</mi> </msub> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <mfrac> <mrow> <msub> <mi>dK</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> </mrow> <mrow> <mi>d</mi> <mi>L</mi> </mrow> </mfrac> <mo>-</mo> <msub> <mi>f</mi> <mrow> <mn>2</mn> <mi>i</mi> </mrow> </msub> <msub> <mi>N</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>C</mi> <mi>i</mi> </msub> <msub> <mi>V</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>B</mi> <mi>i</mi> </msub> <mo>+</mo> <msub> <mi>g</mi> <mi>i</mi> </msub> <mover> <msub> <mi>k</mi> <mi>i</mi> </msub> <mo>&amp;RightArrow;</mo> </mover> <mo>&amp;CenterDot;</mo> <mover> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>&amp;RightArrow;</mo> </mover> <mo>=</mo> <mn>0</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mo>-</mo> <msub> <mi>E</mi> <mi>i</mi> </msub> <msub> <mi>I</mi> <mi>i</mi> </msub> <mfrac> <mrow> <msup> <mi>d</mi> <mn>2</mn> </msup> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> </mrow> <mrow> <msup> <mi>dL</mi> <mn>2</mn> </msup> </mrow> </mfrac> <mo>+</mo> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>T</mi> <mi>i</mi> </msub> <mo>+</mo> <msub> <mi>E</mi> <mi>i</mi> </msub> <msub> <mi>I</mi> <mi>i</mi> </msub> <msubsup> <mi>K</mi> <mrow> <mi>n</mi> <mi>i</mi> </mrow> <mn>2</mn> </msubsup> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>K</mi> <mrow> <mi>n</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>M</mi> <mi>i</mi> </msub> <mo>+</mo> <msub> <mi>N</mi> <mrow> <mi>n</mi> <mi>i</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>f</mi> <mrow> <mn>1</mn> <mi>i</mi> </mrow> </msub> <msub> <mi>N</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>g</mi> <mi>i</mi> </msub> <msub> <mover> <mi>k</mi> <mo>&amp;RightArrow;</mo> </mover> <mi>i</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mover> <mi>n</mi> <mo>&amp;RightArrow;</mo> </mover> <mi>i</mi> </msub> <mo>=</mo> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mo>-</mo> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>L</mi> </mrow> </mfrac> <mo>(</mo> <msub> <mi>E</mi> <mi>i</mi> </msub> <msub> <mi>I</mi> <mi>i</mi> </msub> <msub> <mi>K</mi> <mrow> <mi>n</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>M</mi> <mi>i</mi> </msub> <mo>)</mo> <mo>-</mo> <msub> <mi>E</mi> <mi>i</mi> </msub> <msub> <mi>I</mi> <mi>i</mi> </msub> <msub> <mi>K</mi> <mrow> <mi>n</mi> <mi>i</mi> </mrow> </msub> <mfrac> <mrow> <msub> <mi>dK</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> </mrow> <mrow> <mi>d</mi> <mi>L</mi> </mrow> </mfrac> <mo>+</mo> <msub> <mi>N</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>f</mi> <mrow> <mn>1</mn> <mi>i</mi> </mrow> </msub> <msub> <mi>N</mi> <mrow> <mi>n</mi> <mi>i</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>g</mi> <mi>i</mi> </msub> <msub> <mover> <mi>k</mi> <mo>&amp;RightArrow;</mo> </mover> <mi>i</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mover> <mi>b</mi> <mo>&amp;RightArrow;</mo> </mover> <mi>i</mi> </msub> <mo>=</mo> <mn>0</mn> </mtd> </mtr> </mtable> </mfenced>
Wherein,
<mrow> <msub> <mover> <mi>k</mi> <mo>&amp;RightArrow;</mo> </mover> <mi>i</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mover> <mi>n</mi> <mo>&amp;RightArrow;</mo> </mover> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mn>1</mn> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> </mfrac> <mfrac> <mrow> <msub> <mi>d&amp;alpha;</mi> <mi>i</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>L</mi> </mrow> </mfrac> <msub> <mi>sin&amp;alpha;</mi> <mi>i</mi> </msub> <mo>;</mo> <msub> <mover> <mi>k</mi> <mo>&amp;RightArrow;</mo> </mover> <mi>i</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mover> <mi>b</mi> <mo>&amp;RightArrow;</mo> </mover> <mi>i</mi> </msub> <mo>=</mo> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> </mfrac> <mfrac> <mrow> <msub> <mi>d&amp;phi;</mi> <mi>i</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>L</mi> </mrow> </mfrac> <msup> <mi>sin</mi> <mn>2</mn> </msup> <msub> <mi>&amp;alpha;</mi> <mi>i</mi> </msub> <mo>;</mo> <msub> <mi>N</mi> <mi>i</mi> </msub> <mo>=</mo> <msqrt> <mrow> <msubsup> <mi>N</mi> <mrow> <mi>n</mi> <mi>i</mi> </mrow> <mn>2</mn> </msubsup> <mo>+</mo> <msubsup> <mi>N</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> <mn>2</mn> </msubsup> </mrow> </msqrt> <mo>;</mo> </mrow>
<mrow> <msub> <mi>m</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <mi>&amp;pi;</mi> <mo>&amp;times;</mo> <msup> <msub> <mi>D</mi> <mi>i</mi> </msub> <mn>3</mn> </msup> <mo>&amp;times;</mo> <msub> <mi>&amp;omega;</mi> <mi>i</mi> </msub> </mrow> <mn>4</mn> </mfrac> <mo>&amp;times;</mo> <mrow> <mo>(</mo> <mfrac> <msub> <mi>&amp;tau;</mi> <mi>i</mi> </msub> <msqrt> <mrow> <mo>(</mo> <msubsup> <mi>V</mi> <mi>i</mi> <mn>2</mn> </msubsup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>D</mi> <mi>i</mi> </msub> <msub> <mi>&amp;pi;&amp;omega;</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>)</mo> </mrow> </msqrt> </mfrac> <mo>+</mo> <mfrac> <mrow> <mn>2</mn> <mo>&amp;times;</mo> <msub> <mi>&amp;mu;</mi> <mi>i</mi> </msub> </mrow> <mrow> <msub> <mi>D</mi> <mrow> <mi>W</mi> <mi>i</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>D</mi> <mi>i</mi> </msub> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>;</mo> <msub> <mi>B</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>D</mi> <mi>i</mi> </msub> <msub> <mi>&amp;pi;&amp;tau;</mi> <mi>i</mi> </msub> <msub> <mi>V</mi> <mi>i</mi> </msub> </mrow> <msqrt> <mrow> <msubsup> <mi>V</mi> <mi>i</mi> <mn>2</mn> </msubsup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>D</mi> <mi>i</mi> </msub> <msub> <mi>&amp;pi;&amp;omega;</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> </mfrac> <mo>;</mo> </mrow>
<mrow> <msub> <mi>C</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <mn>2</mn> <msub> <mi>&amp;pi;&amp;mu;</mi> <mi>i</mi> </msub> </mrow> <mrow> <mi>l</mi> <mi>n</mi> <mrow> <mo>(</mo> <msub> <mi>D</mi> <mrow> <mi>w</mi> <mi>i</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>-</mo> <mi>l</mi> <mi>n</mi> <mrow> <mo>(</mo> <msub> <mi>D</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow>
Wherein, MiThe moment of torsion at i-th of drill string node is represented, unit is Nm;TiRepresent the drill string axle at i-th of drill string node To pulling force, unit is N;NiThe normal pressure between drill string and the borehole wall at i-th of drill string node is represented, unit is N;NbiRepresent Ni Subnormal durection component, unit is N;NniRepresent NiIn principal normal durection component, unit is N;miRepresent the outside of mud generation Moment of torsion, unit is Nm;f1iRepresent circumferential coefficient of friction at i-th of drill string node;BiMud at i-th of drill string node is represented to cut The axial force that power is produced, unit is N;CiThe axial force that mud viscosity is produced at i-th of drill string node is represented, unit is N;f2iGeneration Axial rub coefficient at i-th of drill string node of table;giThe line buoyant weight at i-th of drill string node is represented, unit is N/m;Generation The component of line buoyant weight tangential direction at i-th of drill string node of table, unit is N/m;Line at i-th of drill string node is represented to float The component in weight principal normal direction, unit is N/m;The component in line buoyant weight binormal direction at i-th of drill string node is represented, Unit is N/m;Represent drill string rate of deviation at i-th of drill string node;Represent drill string side at i-th of drill string node Position rate of change;IiDrill string the moment of inertia at i-th of drill string node is represented, unit is m4;KbiRepresent drill string at i-th of drill string node bent Rate, unit is 1/m;KniDrill string torsion at i-th of drill string node is represented, unit is 1/m;F represents frictional coefficient;ViFor Pulled out of hole or speed uplink at i drill string node, unit is m/s;ωiDrill string rotating speed at i-th of drill string node is represented, unit is 1/ s;τiDrilling fluid yield value at i-th of drill string node is represented, unit is pa;μiDrilling fluid viscosity is represented, unit is pas;EiGeneration The modulus of elasticity of drill string steel at i-th of drill string node of table, unit is pa;L represents drill string length, and unit is m;αiRepresent i-th Drill string hole angle at individual drill string node;DWiBorehole diameter at i-th of drill string node is represented, unit is m;DiRepresent i-th of drill string Drill string external diameter at node, unit is m;riThe drill string radius at i-th of drill string node is represented, unit is m.
2. according to the method described in claim 1, it is characterised in that the well deviational survey data include:Hole angle, azimuth, And well depth.
3. according to the method described in claim 1, it is characterised in that the geological information includes:Hole angle, azimuth, drill string Curvature, drill string curvature variation, the rate of change of drill string curvature variation, drill string torsion and drill string torsion rate of change.
4. according to the method described in claim 1, it is characterised in that the moment of inertia and line buoyant weight for determining each drill string node Including:
The drill string internal diameter at the drill string external diameter and the drill string node at the drill string node is obtained, and according to outside the drill string Footpath and the drill string internal diameter calculate the moment of inertia of drill string node;
Obtain the drilling fluid density at the drill string node, the drill string steel density and the drill string at the drill string node The aerial line weight of drill string at node, and according to the drilling fluid density, the drill string steel density and the drill string The line buoyant weight of aerial line re-computation drill string node.
5. according to the method described in claim 1, it is characterised in that the axial tension for obtaining well head drill string includes:
The ground weight indicator reading during real bore, lifting system is obtained effectively to restrict the transmission efficiency of number and single pulley;
Determine that hook is born according to effectively the restrict transmission efficiency of number and single pulley of the ground weight indicator reading, lifting system Lotus, and it regard the weight on hook as well head drill string axial tension.
6. according to the method described in claim 1, it is characterised in that the downhole drill parameter includes:Drill bit axial tension and Torque-on-bit.
7. method according to claim 6, it is characterised in that the downhole drill parameter also includes:Drill string friction drag.
8. according to the method described in claim 1, it is characterised in that the determination downhole drill parameter includes:
Drill string torque increment at drill string node is determined, at drill string node according to the default drill string tension and torque differential equation Friction drag increment at drill string axial tension increment and drill string node;
The moment of torsion of each drill string node is determined according to below equation, and will be made apart from the moment of torsion of the maximum drill string node of well head distance For torque-on-bit:
Mi=Mi-1+ΔMi
In above formula, MiRepresent the moment of torsion at i-th of drill string node;Mi-1Represent the moment of torsion at the i-th -1 drill string node;ΔMiRepresent Drill string torque increment at i-th of drill string node, wherein, the distance between i-th of drill string node and well head are more than the i-th -1 brill The distance between Column border node and well head;
The axial tension of each drill string node is determined according to below equation, and by apart from the axle of the maximum drill string node of well head distance Drill bit axial tension is used as to pulling force:
Ti=Ti-1+ΔTi
In above formula, TiRepresent the drill string axial tension at i-th of drill string node;Ti-1Represent the drill string at the i-th -1 drill string node Axial tension;ΔTiRepresent the drill string axial tension increment at i-th of drill string node;
The friction drag of drill string is determined according to below equation:
F=F1+F2+...+Fi-1+Fi
In above formula, F represents drill string friction drag;FiRepresent the friction drag at i-th of drill string node;Fi-1Represent the i-th -1 brill Friction drag at Column border node;Wherein, Fi=f2iNi+CiVi+Bi
9. a kind of determining device of downhole drill parameter, it is characterised in that the device includes:
Drill string node determining unit, for determining drill string node successively from well head to drill bit direction according to default step-length;
Computing unit, the well deviational survey data for obtaining each measuring point, and calculate every two survey according to the well deviational survey data The rate of deviation of drill string node between point and the rate of azimuth change of drill string node;
First data determination unit, for reference to obtained rate of deviation and rate of azimuth change is calculated, determining each drill string section The geological information of point;
Second data determination unit, the moment of inertia and line buoyant weight for determining each drill string node;
Well head data capture unit, for obtaining the axial tension of well head drill string and the moment of torsion of well head drill string;
Downhole drill parameter determination unit, for using the default drill string tension and torque differential equation, with reference to each drill string node Geological information, the moment of inertia, the axial tension and well head drill string torque of line buoyant weight and well head drill string, determine downhole drill parameter;
Wherein, the default drill string tension and torque differential equation is as follows:
<mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mfrac> <mrow> <msub> <mi>dM</mi> <mi>i</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>L</mi> </mrow> </mfrac> <mo>=</mo> <msub> <mi>f</mi> <mrow> <mn>1</mn> <mi>i</mi> </mrow> </msub> <msub> <mi>r</mi> <mi>i</mi> </msub> <msub> <mi>N</mi> <mi>i</mi> </msub> <mo>+</mo> <msub> <mi>m</mi> <mi>i</mi> </msub> </mtd> </mtr> <mtr> <mtd> <mrow> <mfrac> <mrow> <msub> <mi>dT</mi> <mi>i</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>L</mi> </mrow> </mfrac> <mo>+</mo> <msub> <mi>E</mi> <mi>i</mi> </msub> <msub> <mi>I</mi> <mi>i</mi> </msub> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <mfrac> <mrow> <msub> <mi>dK</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> </mrow> <mrow> <mi>d</mi> <mi>L</mi> </mrow> </mfrac> <mo>-</mo> <msub> <mi>f</mi> <mrow> <mn>2</mn> <mi>i</mi> </mrow> </msub> <msub> <mi>N</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>C</mi> <mi>i</mi> </msub> <msub> <mi>V</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>B</mi> <mi>i</mi> </msub> <mo>+</mo> <msub> <mi>g</mi> <mi>i</mi> </msub> <mover> <msub> <mi>k</mi> <mi>i</mi> </msub> <mo>&amp;RightArrow;</mo> </mover> <mo>&amp;CenterDot;</mo> <mover> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>&amp;RightArrow;</mo> </mover> <mo>=</mo> <mn>0</mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mo>-</mo> <msub> <mi>E</mi> <mi>i</mi> </msub> <msub> <mi>I</mi> <mi>i</mi> </msub> <mfrac> <mrow> <msup> <mi>d</mi> <mn>2</mn> </msup> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> </mrow> <mrow> <msup> <mi>dL</mi> <mn>2</mn> </msup> </mrow> </mfrac> <mo>+</mo> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>T</mi> <mi>i</mi> </msub> <mo>+</mo> <msub> <mi>E</mi> <mi>i</mi> </msub> <msub> <mi>I</mi> <mi>i</mi> </msub> <msubsup> <mi>K</mi> <mrow> <mi>n</mi> <mi>i</mi> </mrow> <mn>2</mn> </msubsup> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>K</mi> <mrow> <mi>n</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>M</mi> <mi>i</mi> </msub> <mo>+</mo> <msub> <mi>N</mi> <mrow> <mi>n</mi> <mi>i</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>f</mi> <mrow> <mn>1</mn> <mi>i</mi> </mrow> </msub> <msub> <mi>N</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>g</mi> <mi>i</mi> </msub> <msub> <mover> <mi>k</mi> <mo>&amp;RightArrow;</mo> </mover> <mi>i</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mover> <mi>n</mi> <mo>&amp;RightArrow;</mo> </mover> <mi>i</mi> </msub> <mo>=</mo> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mo>-</mo> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>L</mi> </mrow> </mfrac> <mo>(</mo> <msub> <mi>E</mi> <mi>i</mi> </msub> <msub> <mi>I</mi> <mi>i</mi> </msub> <msub> <mi>K</mi> <mrow> <mi>n</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <msub> <mi>M</mi> <mi>i</mi> </msub> <mo>)</mo> <mo>-</mo> <msub> <mi>E</mi> <mi>i</mi> </msub> <msub> <mi>I</mi> <mi>i</mi> </msub> <msub> <mi>K</mi> <mrow> <mi>n</mi> <mi>i</mi> </mrow> </msub> <mfrac> <mrow> <msub> <mi>dK</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> </mrow> <mrow> <mi>d</mi> <mi>L</mi> </mrow> </mfrac> <mo>+</mo> <msub> <mi>N</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>f</mi> <mrow> <mn>1</mn> <mi>i</mi> </mrow> </msub> <msub> <mi>N</mi> <mrow> <mi>n</mi> <mi>i</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>g</mi> <mi>i</mi> </msub> <msub> <mover> <mi>k</mi> <mo>&amp;RightArrow;</mo> </mover> <mi>i</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mover> <mi>b</mi> <mo>&amp;RightArrow;</mo> </mover> <mi>i</mi> </msub> <mo>=</mo> <mn>0</mn> </mtd> </mtr> </mtable> </mfenced>
Wherein,
<mrow> <msub> <mover> <mi>k</mi> <mo>&amp;RightArrow;</mo> </mover> <mi>i</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mover> <mi>n</mi> <mo>&amp;RightArrow;</mo> </mover> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mn>1</mn> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> </mfrac> <mfrac> <mrow> <msub> <mi>d&amp;alpha;</mi> <mi>i</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>L</mi> </mrow> </mfrac> <msub> <mi>sin&amp;alpha;</mi> <mi>i</mi> </msub> <mo>;</mo> <msub> <mover> <mi>k</mi> <mo>&amp;RightArrow;</mo> </mover> <mi>i</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mover> <mi>b</mi> <mo>&amp;RightArrow;</mo> </mover> <mi>i</mi> </msub> <mo>=</mo> <mo>-</mo> <mfrac> <mn>1</mn> <msub> <mi>K</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> </msub> </mfrac> <mfrac> <mrow> <msub> <mi>d&amp;phi;</mi> <mi>i</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>L</mi> </mrow> </mfrac> <msup> <mi>sin</mi> <mn>2</mn> </msup> <msub> <mi>&amp;alpha;</mi> <mi>i</mi> </msub> <mo>;</mo> <msub> <mi>N</mi> <mi>i</mi> </msub> <mo>=</mo> <msqrt> <mrow> <msubsup> <mi>N</mi> <mrow> <mi>n</mi> <mi>i</mi> </mrow> <mn>2</mn> </msubsup> <mo>+</mo> <msubsup> <mi>N</mi> <mrow> <mi>b</mi> <mi>i</mi> </mrow> <mn>2</mn> </msubsup> </mrow> </msqrt> <mo>;</mo> </mrow>
<mrow> <msub> <mi>m</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <mi>&amp;pi;</mi> <mo>&amp;times;</mo> <msup> <msub> <mi>D</mi> <mi>i</mi> </msub> <mn>3</mn> </msup> <mo>&amp;times;</mo> <msub> <mi>&amp;omega;</mi> <mi>i</mi> </msub> </mrow> <mn>4</mn> </mfrac> <mo>&amp;times;</mo> <mrow> <mo>(</mo> <mfrac> <msub> <mi>&amp;tau;</mi> <mi>i</mi> </msub> <msqrt> <mrow> <mo>(</mo> <msubsup> <mi>V</mi> <mi>i</mi> <mn>2</mn> </msubsup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>D</mi> <mi>i</mi> </msub> <msub> <mi>&amp;pi;&amp;omega;</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>)</mo> </mrow> </msqrt> </mfrac> <mo>+</mo> <mfrac> <mrow> <mn>2</mn> <mo>&amp;times;</mo> <msub> <mi>&amp;mu;</mi> <mi>i</mi> </msub> </mrow> <mrow> <msub> <mi>D</mi> <mrow> <mi>W</mi> <mi>i</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>D</mi> <mi>i</mi> </msub> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>;</mo> <msub> <mi>B</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>D</mi> <mi>i</mi> </msub> <msub> <mi>&amp;pi;&amp;tau;</mi> <mi>i</mi> </msub> <msub> <mi>V</mi> <mi>i</mi> </msub> </mrow> <msqrt> <mrow> <msubsup> <mi>V</mi> <mi>i</mi> <mn>2</mn> </msubsup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>D</mi> <mi>i</mi> </msub> <msub> <mi>&amp;pi;&amp;omega;</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> </mfrac> <mo>;</mo> </mrow>
<mrow> <msub> <mi>C</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <mn>2</mn> <msub> <mi>&amp;pi;&amp;mu;</mi> <mi>i</mi> </msub> </mrow> <mrow> <mi>l</mi> <mi>n</mi> <mrow> <mo>(</mo> <msub> <mi>D</mi> <mrow> <mi>w</mi> <mi>i</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>-</mo> <mi>l</mi> <mi>n</mi> <mrow> <mo>(</mo> <msub> <mi>D</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow>
Wherein, MiThe moment of torsion at i-th of drill string node is represented, unit is Nm;TiRepresent the drill string axle at i-th of drill string node To pulling force, unit is N;NiThe normal pressure between drill string and the borehole wall at i-th of drill string node is represented, unit is N;NbiRepresent Ni Subnormal durection component, unit is N;NniRepresent NiIn principal normal durection component, unit is N;miRepresent the outside of mud generation Moment of torsion, unit is Nm;f1iRepresent circumferential coefficient of friction at i-th of drill string node;BiMud at i-th of drill string node is represented to cut The axial force that power is produced, unit is N;CiThe axial force that mud viscosity is produced at i-th of drill string node is represented, unit is N;f2iGeneration Axial rub coefficient at i-th of drill string node of table;giThe line buoyant weight at i-th of drill string node is represented, unit is N/m;Generation The component of line buoyant weight tangential direction at i-th of drill string node of table, unit is N/m;Line at i-th of drill string node is represented to float The component in weight principal normal direction, unit is N/m;The component in line buoyant weight binormal direction at i-th of drill string node is represented, Unit is N/m;Represent drill string rate of deviation at i-th of drill string node;Represent drill string side at i-th of drill string node Position rate of change;IiDrill string the moment of inertia at i-th of drill string node is represented, unit is m4;KbiRepresent drill string at i-th of drill string node bent Rate, unit is 1/m;KniDrill string torsion at i-th of drill string node is represented, unit is 1/m;F represents frictional coefficient;ViFor Pulled out of hole or speed uplink at i drill string node, unit is m/s;ωiDrill string rotating speed at i-th of drill string node is represented, unit is 1/ s;τiDrilling fluid yield value at i-th of drill string node is represented, unit is pa;μiDrilling fluid viscosity is represented, unit is pas;EiGeneration The modulus of elasticity of drill string steel at i-th of drill string node of table, unit is pa;L represents drill string length, and unit is m;αiRepresent i-th Drill string hole angle at individual drill string node;DWiBorehole diameter at i-th of drill string node is represented, unit is m;DiRepresent i-th of drill string Drill string external diameter at node, unit is m;riThe drill string radius at i-th of drill string node is represented, unit is m.
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