CN108133087A - A kind of Gas-water phases seepage stress sensitivity reservoir original permeability inversion method - Google Patents

A kind of Gas-water phases seepage stress sensitivity reservoir original permeability inversion method Download PDF

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CN108133087A
CN108133087A CN201711304207.8A CN201711304207A CN108133087A CN 108133087 A CN108133087 A CN 108133087A CN 201711304207 A CN201711304207 A CN 201711304207A CN 108133087 A CN108133087 A CN 108133087A
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窦祥骥
何岩峰
王相
浮历沛
邓嵩
张世锋
曹文科
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Abstract

The present invention relates to a kind of air water two phase fluid flow stress sensitive reservoir original permeability inversion methods, include the following steps:(1) gas well daily creation data, reservoir properties, physical properties of fluids, stress sensitive data are compiled;(2) the equivalent phase percolation curve of air water under the conditions of different pressures is calculated;(3) it calculates and considers that parameter is intended in the improvement of stress sensitive reservoir air water two-phase complicated percolation feature;(4) it draws and identifies pseudoradial flow using improved semilog plot;(5) linear regression is carried out to the scatterplot on curve, according to obtained straight slope is returned, the inverting to original permeability is realized using reservoir original permeability computation model.The complicated percolations feature such as phase percolation curve stress sensitive, absolute permeability stress sensitive, slippage effect when present invention can fully consider air water two phase fluid flow in stress sensitive reservoir, the error caused by Traditional calculating methods is eliminated, can be widely used for the Cook method of stress sensitive reservoir.

Description

A kind of Gas-water phases seepage stress sensitivity reservoir original permeability inversion method
Technical field
The present invention relates to gas reservoir development technical field, more particularly to a kind of Gas-water phases seepage stress sensitivity reservoir is original Permeability Inversion Methods.
Background technology
The permeability of stress sensitive reservoir is usually relatively low, and constantly changes with the change of strata pressure.And it answers Before power sensitivity gas reservoir development, strata pressure remains original formation pressure, and permeability at this time is known as original permeability.For depositing For the stress sensitive reservoir of Gas-water phases seepage flow, the accurate of original permeability is obtained for reservoir in prediction development process The changing rule of permeability, prediction gas well deliverability, formulation reasonable development scheme have a very important role.
But presently, there are some original permeability inversion methods, do not consider stress sensitive reservoir air-water two Phase complicated percolation feature particularly ignores the stress sensitive of phase percolation curve, obtained reservoir original permeability and actual value Between usually there are certain difference, therefore be not suitable for the inverting of Gas-water phases seepage stress sensitivity reservoir original permeability.
Invention content
The technical problem to be solved by the present invention is to:In order to overcome deficiency in the prior art, the present invention provides a kind of synthesis Consider the Gas-water phases seepage stress sensitivity reservoir original permeability of the Gas-water phases seepage flow characteristics such as phase percolation curve stress sensitive Inversion method, so as to improve the accuracy of original permeability inversion result.
The technical solution adopted by the present invention to solve the technical problems is:A kind of Gas-water phases seepage stress sensitivity reservoir Original permeability inversion method, includes the following steps:
(1), the daily creation data of gas well, reservoir properties, physical properties of fluids, air-water mutually ooze data, the receipts of stress sensitive data Collection arranges;
(2), phase percolation curve stress sensitive, absolute permeability stress sensitive are considered under the conditions of calculating different pressures and is moved The equivalent air-water phase percolation curve of the Gas-water phases complicated percolation feature such as state slippage effect;
(3), it using equivalent air-water phase percolation curve, with reference to gas well liquid loading data, according to the following formula, calculates and considers stress sensitive The improved pseudopressure of reservoir Gas-water phases complicated percolation feature and pseudotime;
Wherein, ψtwoTo consider the improved pseudopressure of stress sensitive reservoir Gas-water phases complicated percolation feature, MPa/cp; ttwoTo consider the improved pseudotime of stress sensitive reservoir Gas-water phases complicated percolation feature, d;P is pressure, MPa;paFor ginseng Examine pressure, MPa;T is actual time, d;taFor reference time, d;ρgFor gas phase lower density, kg/m3;ρwUnderground for water is close Degree, kg/m3;ρwscFor the ground standard density of water, kg/m3For the gas phase corresponding to average pressure lower density, kg/m3For the water phase ground standard density corresponding to average pressure, kg/m3;krgEFor the equivalent relative permeability of gas phase;krwEFor water phase Equivalent relative permeability;For the equivalent relative permeability of gas phase corresponding to average pressure;For corresponding to average pressure The equivalent relative permeability of water phase;μgFor gas viscosity, cp;μwFor the viscosity of water, cp;μgiIt is glued for the gas under original formation pressure Degree, cp;For the gas viscosity corresponding to average pressure, cp;For the viscosity of the water corresponding to average pressure, cp;Ct-twoi For the air water two-phase system compressibility under original formation pressure, MPa-1It is comprehensive for the air water two-phase corresponding to average pressure Close the compressed coefficient, MPa-1
(4), it based on the improved pseudopressure obtained and pseudotime is calculated, draws and is identified using improved semilog plot Pseudoradial flow;
(5), linear regression is carried out to the scatterplot on curve, it is original using reservoir according to the obtained straight slope of recurrence Calculation model of permeability realizes the inverting to original permeability.
In above-mentioned steps (4), when drawing time graph under improved radical sign, when gas well is determines air content production, horizontal seat It is designated as lg (ttwo), and when gas well gas production is non-constant, abscissa is lg (tsr-two), and ordinate is Become the abscissa lg (t in the case of gas productionsr-two) calculated using following formula,
Wherein, ψtwoiFor the improvement pseudopressure corresponding to original formation pressure;ψtwowfFor the improvement corresponding to flowing bottomhole pressure (FBHP) Pseudopressure;qtwoFor air-water total output;tsr-twoFor the improved material balance pseudotime corresponding to the pseudoradial flow stage, it is used for Varying flow rate condition is converted into and determines production conditions, unit is day (d);N is the total quantity of data point.
In above-mentioned steps (5), based on the obtained straight slope m of recurrencetwo-r, the computation model of original permeability isWherein, mtwo-rTime graph overlying strata linear flow number of stages strong point returns to obtain under improved radical sign Straight slope;H is gas-bearing net pay m;kiFor the original permeability mD under the conditions of original formation pressure.
By above step, the inverting to Gas-water phases seepage stress sensitivity reservoir original permeability can be realized.
The beneficial effects of the invention are as follows:
1. compared with existing original permeability determines method, it is multiple that this method has considered phase percolation curve stress sensitive etc. Miscellaneous seepage flow characteristics, therefore relative to the original permeability inversion method of current main-stream, it is more nearly the reality of stress sensitive reservoir Seepage flow situation, obtained original permeability are more accurate.
2. compared with current common method of value solving, this method employs semi-analytic method, asks for speed faster.
3. compared with current common Well Test Data Analysis Method, this method is analyzed based on daily creation data, solution The well testing inversion method for having determined traditional excessively relies on the drawbacks of live well testing test, without carrying out closing well test, significantly reduces The cost of original absolute permeability inverting.
4. compared with current core experiment method, since the rock core volume in experimental method is usually smaller, obtained The original permeability of the rock core can not represent the permeability feature in the range of entire well control in inhomogeneous formation, and this method institute is anti- Drill acquisition is the reservoir original permeability in the range of entire well control, for the practical significance bigger of oil and gas development.
Description of the drawings
The present invention is further described with reference to the accompanying drawings and examples.
Fig. 1 is flow chart of the present invention.
Fig. 2 is the aqueous vapor when flowing bottomhole pressure (FBHP) data in the embodiment of the present invention.
Fig. 3 is the equivalent phase percolation curve in the embodiment of the present invention.
Fig. 4 is improved semilog plot in the embodiment of the present invention.
Specific embodiment
In conjunction with the accompanying drawings, the present invention is further explained in detail.These attached drawings are simplified schematic diagram, only with Illustration illustrates the basic structure of the present invention, therefore it only shows composition related to the present invention.
As shown in Figure 1, a kind of Gas-water phases seepage stress sensitivity reservoir original permeability inversion method, has following step Suddenly:
In step (1), the necessary data compiled includes:Water yield qw, gas production qg, water-gas ratio fw, flowing bottomhole pressure (FBHP) pwfGas well Field Production Data Deng including;Porosity φ under the conditions of reservoir thickness h and original formation pressurei, gas slip Factor biWait reservoir physical parameters;Fluid viscosity μ under the conditions of different pressuresg、μwAnd compressed coefficient Cg、CwEtc. physical properties of fluids ginseng Number;Phase percolation curve endpoint value (S corresponding to original formation pressurewci、Sgri、krgendi、krwendi), the non-isometrical coefficient of reservoir pore throat The phase percolation curves parameter such as λ and bending coefficient η;The stress sensitive system of reservoir absolute permeability, porosity and phase percolation curve endpoint value Number (α, γ, C, D, E, F) etc..Wherein, the aqueous vapor in the present embodiment when flowing bottomhole pressure (FBHP) data as shown in Fig. 2, the portion being collected into Divide other underlying parameters as shown in table 1
Table 1
In step (2), calculated based on following formula and draw equivalent phase percolation curve, as shown in Figure 3:
Wherein,AndRespectively:
Wherein, krgE-p1<Sw>For a certain pressure (p1) and saturation degree (Sw) under the equivalent relative permeability of gas phase;krwE-p1< Sw>For a certain pressure (p1) and saturation degree (Sw) under the equivalent relative permeability of water phase;krg-p1<Sw>For a certain pressure (p1) and it is full With degree (Sw) under gas phase relative permeability;krw-p1<Sw>For a certain pressure (p1) and saturation degree (Sw) under water phase opposite permeate Rate;biFor the slip factor corresponding to original formation pressure, MPa;B is slip factor regression coefficient;α is permeability stress sensitive Coefficient, MPa-1;krgendiEndpoint value is mutually oozed for the gas phase under original formation pressure;SwFor water saturation;SwciFor prime stratum Irreducible water saturation under pressure;SgriFor the residual gas saturation under original formation pressure;λ is hollow billet profile exponent;η is hair Pipe bending coefficient;krwendiEndpoint value is mutually oozed for the water phase under original formation pressure;C mutually oozes endpoint value stress sensitive system for gas phase Number;D mutually oozes endpoint value stress sensitive coefficients for water phase;E is irreducible water saturation stress sensitive coefficients;F is residual gas saturation Stress sensitive coefficients;P is to specify strata pressure, unit MPa;piFor original formation pressure, unit MPa;
In step (3), the improvement pseudopressure for considering Gas-water phases complicated percolation feature is calculated according to below scheme:
(a), using each time point t corresponding to gas production qgAnd water yield qw, calculate corresponding water yield of each time point with Gas production ratio qw/qg
(b), with time t1For, first pressure spot p is selected in limit of integration1, based on gas phase and water phase physical parameter With the relational expression of pressure, related property parameter value (μ corresponding to the pressure value is calculatedg、Bg、μw、Bw)。
(c), using following formula, the pressure p is calculated1Under the conditions of water phase and the equivalent relative permeability of gas phase ratio krwE/krgE
(d), using the equivalent phase percolation curve under the conditions of the different pressures established in step (2), each pressure is further determined that The equivalent relative permeability of water phase and the equivalent relative permeability ratio (k of gas phase under the conditions of powerrwE/krgE) with the variation of water saturation Feature.
(e), with reference to step (c) and step (d) as a result, determining the corresponding water saturation value of the pressure spot, and utilize The saturation degree calculates pressure spot p1The corresponding equivalent relative permeability k of gas phasergEAnd the equivalent relative permeability k of water phaserwE
(f), next pressure spot p is chosen in limit of integration2, analyzed using similar approach, obtain pressure spot p2It is right The equivalent relative permeability of gas phase and the equivalent relative permeability ... of water phase answered and so on, if the pressure chosen in limit of integration Force quantity is enough, you can establishes pressure value and gas phase and the equivalent relative permeability k of water phasergEOr krwERelational expression, so as to The numerical integration realized to relevant parameter is substituted into following formula, and obtains changing suitable for stress sensitive reservoir Gas-water phases seepage flow Into pseudopressure.
Wherein, ψtwoTo consider the improved pseudopressure of stress sensitive reservoir Gas-water phases complicated percolation feature, MPa/cp; P is pressure, MPa;paFor reference pressure, MPa;ρgFor gas phase lower density, kg/m3;ρwFor the ground lower density of water, kg/m3;ρwsc For the ground standard density of water, kg/m3;krgEFor the equivalent relative permeability of gas phase;krwEFor the equivalent relative permeability of water phase;μgFor Gas viscosity, cp;μwFor the viscosity of water, cp;qgFor surface gas rate, m3/d;qwFor surface water rate, m3/d;BgFor gas body Product coefficient;BwVolume factor for water.
In step (3), the improvement pseudotime for considering Gas-water phases complicated percolation feature is calculated according to below scheme:
(a), time point t is selected in limit of integration1, it is true by pressure propagation range formula or stream material equilibria method Mean reservoir pressure in constant-pressure coverage or reservoirAnd then determine the corresponding related air-water physical property of the average pressure Parameter value (μg、Bg、μw、Bw)。
(c), based on the equivalent phase percolation curve in step (2), the equivalent of water phase and gas phase under the conditions of the average pressure is obtained Relative permeability ratioWith the variation characteristic of water saturation.
(d), it with reference to step (b) and (c) as a result, average staturation value corresponding to determining average pressure, and then calculates Average pressureCorresponding average air equivalent relative permeabilityAnd average water equivalent relative permeability
(e), next time point t is chosen in limit of integration2, analyzed using similar approach, obtain t2Moment corresponds to Gas phase average equivalent relative permeability and water phase average equivalent relative permeability ..., if being selected in limit of integration The time point quantity taken is enough, you can settling time and average gas phase and the equivalent relative permeability of water phasePass It is formula, so as to substitute into following formula the numerical integration realized to relevant parameter, and obtains and be suitable for stress sensitive reservoir Gas-water phases The improvement pseudotime of seepage flow.
Wherein,T is actual time, d;For Mean reservoir pressure, MPa;For the equivalent relative permeability of gas phase corresponding to average pressure;For corresponding to average pressure The equivalent relative permeability of gas phase;Ct-twoFor air water two-phase system compressibility, MPa-1;SgFor gas phase saturation;CgFor gas The compressed coefficient, MPa-1;CwFor the compressed coefficient of water, MPa-1;CpFor pore space compressibility of rock, MPa-1, ttwoTo consider that stress is quick Feel the improved pseudotime of reservoir Gas-water phases complicated percolation feature, d;taFor reference time, d;For corresponding to average pressure Gas phase ground lower density, kg/m3For the water phase ground standard density corresponding to average pressure, kg/m3For average pressure The equivalent relative permeability of corresponding gas phase;For the equivalent relative permeability of water phase corresponding to average pressure;μgIt is glued for gas Degree, cp;μwFor the viscosity of water, cp;For the gas viscosity corresponding to average pressure, cp;For the water corresponding to average pressure Viscosity, cp;Ct-twoiFor the air water two-phase system compressibility under original formation pressure, MPa-1For average pressure institute Corresponding air water two-phase system compressibility, MPa-1
In step (4), since the present embodiment is the production of fixed output quota tolerance, using abscissa as lg (ttwo), and ordinate ForTime graph under improved radical sign is drawn, as shown in Figure 4.
Wherein, ψtwoiFor the improvement pseudopressure corresponding to original formation pressure;ψtwowfFor the improvement corresponding to flowing bottomhole pressure (FBHP) Pseudopressure;qtwoFor air-water total output.
It is oblique based on the straight line that pseudoradial flow number of stages strong point returns on improved semilog plot in step (5) Rate mtwo-r, utilize original permeability calculation formulaThe original permeability that stress sensitive reservoir is calculated is 0.098mD。
Wherein, mtwo-rBy the straight line that time graph overlying strata linear flow number of stages strong point returns under improved radical sign Slope;H is gas-bearing net pay m;kiFor the original permeability mD under the conditions of original formation pressure.
Using above-mentioned desirable embodiment according to the present invention as enlightenment, by above-mentioned description, relevant staff is complete Various changes and amendments can be carried out without departing from the scope of the technological thought of the present invention' entirely.The technology of this invention Property range is not limited to the content on specification, it is necessary to determine its technical scope according to right.

Claims (3)

1. a kind of Gas-water phases seepage stress sensitivity reservoir original permeability inversion method, which is characterized in that including walking as follows Suddenly:
(1), it is whole mutually to ooze data, the collection of stress sensitive data for the daily creation data of gas well, reservoir properties, physical properties of fluids, air-water Reason;
(2), consider phase percolation curve stress sensitive, absolute permeability stress sensitive and dynamic under the conditions of calculating different pressures to slide The equivalent air-water phase percolation curve of the Gas-water phases complicated percolation features such as de- effect;
(3), it using equivalent air-water phase percolation curve, with reference to gas well liquid loading data, according to the following formula, calculates and considers stress sensitive reservoir The improved pseudopressure of Gas-water phases complicated percolation feature and pseudotime;
Wherein, ψtwoTo consider the improved pseudopressure of stress sensitive reservoir Gas-water phases complicated percolation feature, MPa/cp;ttwo To consider the improved pseudotime of stress sensitive reservoir Gas-water phases complicated percolation feature, d;P is pressure, MPa;paFor reference Pressure, MPa;T is actual time, d;taFor reference time, d;ρgFor gas phase lower density, kg/m3;ρwFor the ground lower density of water, kg/m3;ρwscFor the ground standard density of water, kg/m3For the gas phase corresponding to average pressure lower density, kg/m3For Water phase ground standard density corresponding to average pressure, kg/m3;krgEFor the equivalent relative permeability of gas phase;krwEIt is equivalent for water phase Relative permeability;For the equivalent relative permeability of gas phase corresponding to average pressure;For the water phase corresponding to average pressure Equivalent relative permeability;μgFor gas viscosity, cp;μwFor the viscosity of water, cp;μgiFor the gas viscosity under original formation pressure, cp;For the gas viscosity corresponding to average pressure, cp;For the viscosity of the water corresponding to average pressure, cp;Ct-twoiFor original Air water two-phase system compressibility under beginning strata pressure, MPa-1Pressure is integrated for the air water two-phase corresponding to average pressure Contracting coefficient, MPa-1
(4), it based on the improved pseudopressure obtained and pseudotime is calculated, draws and intends diameter using the identification of improved semilog plot Xiang Liu;
(5), linear regression is carried out to the scatterplot on curve, according to obtained straight slope is returned, utilizes the original infiltration of reservoir Rate computation model realizes the inverting to original permeability.
2. Gas-water phases seepage stress sensitivity reservoir original permeability inversion method according to claim 1, feature exist In:When time graph under improved radical sign is drawn in step (4), when gas well is determines air content production, abscissa lg (ttwo), and when gas well gas production is non-constant, abscissa is lg (tsr-two), and ordinate isBecome aerogenesis Abscissa lg (t in the case of amountsr-two) calculated using following formula,
Wherein, ψtwoiFor the improvement pseudopressure corresponding to original formation pressure;ψtwowfIntend pressure for the improvement corresponding to flowing bottomhole pressure (FBHP) Power;qtwoFor air-water total output;tsr-twoFor the improved material balance pseudotime corresponding to the pseudoradial flow stage, for that will become Production conditions, which are converted into, determines production conditions, and unit is day (d);N is the total quantity of data point.
3. Gas-water phases seepage stress sensitivity reservoir original permeability inversion method according to claim 1, feature exist In:In step (5), based on the obtained straight slope m of recurrencetwo-r, the computation model of original permeability is
Wherein, mtwo-rIt is oblique by time graph overlying strata linear flow number of stages strong point returns under improved radical sign straight line Rate;H is gas-bearing net pay m;kiFor the original permeability mD under the conditions of original formation pressure.
CN201711304207.8A 2017-12-11 2017-12-11 A kind of Gas-water phases seepage stress sensitivity reservoir original permeability inversion method Withdrawn CN108133087A (en)

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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111027892A (en) * 2019-12-27 2020-04-17 中国石油大学(北京) Method and device for determining reservoir permeability of gas well and server
CN111191183A (en) * 2020-01-09 2020-05-22 中国石油大学(北京) Reservoir parameter calculation method, device and equipment
CN111413263A (en) * 2020-05-06 2020-07-14 西安理工大学 Three-axis instrument for jointly measuring unsaturated soil water and gas movement
CN111810119A (en) * 2020-07-21 2020-10-23 重庆科技学院 Method for calculating productivity of gas well of high-pressure carbonate rock with water-gas reservoir

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111027892A (en) * 2019-12-27 2020-04-17 中国石油大学(北京) Method and device for determining reservoir permeability of gas well and server
CN111027892B (en) * 2019-12-27 2023-04-18 中国石油大学(北京) Method and device for determining reservoir permeability of gas well and server
CN111191183A (en) * 2020-01-09 2020-05-22 中国石油大学(北京) Reservoir parameter calculation method, device and equipment
CN111413263A (en) * 2020-05-06 2020-07-14 西安理工大学 Three-axis instrument for jointly measuring unsaturated soil water and gas movement
CN111810119A (en) * 2020-07-21 2020-10-23 重庆科技学院 Method for calculating productivity of gas well of high-pressure carbonate rock with water-gas reservoir
CN111810119B (en) * 2020-07-21 2022-06-28 重庆科技学院 Method for calculating productivity of gas well of high-pressure carbonate rock having water gas reservoir

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