CN103306672A - Method for predicting abrasiveness of shaly stratum in different drilling directions - Google Patents
Method for predicting abrasiveness of shaly stratum in different drilling directions Download PDFInfo
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Abstract
The invention relates to a method for predicting the abrasiveness of a shaly stratum in different drilling directions. The method comprises the following steps: (1) measuring the internal friction angles and the sonic characteristic parameters of shale samples in different drilling directions; (2) building the relation models between the internal friction angles and the sonic time differences of the shale samples in different drilling directions; (3) building the relation models between the sonic time differences of the shale samples and the sonic time differences in the direction perpendicular to bedding planes as well as between the sonic time differences and drilling angles; (4) building the relation models between the internal friction angles of the shale samples in different drilling directions and the sonic time differences in the direction perpendicular to the bedding planes as well as between the internal friction angles and the drilling angles; (5) obtaining the logging data of on-site shale and performing back calculation to the sonic time differences of the shale in the direction perpendicular to the bedding planes; and (6) according to the relation models between the internal friction angles and the sonic time differences in the direction perpendicular to the bedding planes as well as between the internal friction angles and the drilling angles, determining the internal friction angles of the on-site shale in different drilling directions. The determined internal friction angles are the abrasiveness in corresponding drilling directions. The method can evaluate the abrasiveness of the shaly stratum in different drilling directions by virtue of the on-site sonic logging data and is convenient to use on site.
Description
Technical field
The invention belongs to the oil drilling field, particularly, relate to a kind of method of predicting the abrasiveness of the different drilling directions of shale formation.
Technical background
In the field of oil exploration, exploitation etc., carry out drilling well widely.Drilling well is to utilize drill bit to creep into the process of rock stratum.In the process of drilling well, drill bit is subjected to the wearing and tearing of rock and rust, thereby needs replacing after using a period of time.The abrasiveness of rock is a key factor that influences bit wear.Grasp the abrasiveness of its different drilling directions exactly for the tangible shale formation of bedding anisotropy, all have great significance for the bit type selection in the drilling engineering, drilling parameter optimization and directional well well track optimal design etc.
The abrasiveness of rock is the ability of rock wearing and tearing bit cutting material.The method of existing mensuration rock abrasiveness comprises that mainly the mill method of boring, filing, micro drill creep into method and fretting wear method.
This several method all belongs to the laboratory experiment method, exists many problems, such as: 1. the gained result is difficult to reflect that rock is at underground residing high temperature and high pressure environment; 2. be difficult to reflect the variation of heterogeneity formation rock character comprehensively; 3. be subjected to the restriction of rock core information, the data that record in the big zone of variation of lithological may lack contrast; 4. be difficult to set up regional rock abrasiveness serial section, be difficult to obtain the rock abrasiveness data of different drilling directions; 5. spend great amount of manpower and material resources and fund.
The abrasiveness of rock and the angle of internal friction of rock have good correlation, and the angle of internal friction of rock is more big, and then the abrasiveness of rock is more big; Therefore, generally adopt the angle of internal friction of rock to be used as weighing the index of rock abrasiveness.The present inventor to the interval transit time of the different drilling directions of shale and the relation between the abrasiveness (being the angle of internal friction of shale) carried out the angle of internal friction of the different drilling directions of discovery shale formation after the lot of experiments and vertical stratification face direction interval transit time, creep into and have close correlation between the angle.
Summary of the invention
For overcoming the defective of prior art, the invention provides a kind of method of predicting the abrasiveness of the different drilling directions of shale formation; According to the relation of the angle of internal friction of the abrasiveness of rock and rock, utilize the difference of interval transit time to predict the abrasiveness of shale formation different directions.
The present invention adopts following scheme to realize above-mentioned purpose:
A kind of method of predicting the abrasiveness of the different drilling directions of shale formation comprises the following steps: step 1, measures the shale sample respectively in angle of internal friction and the acoustic wave character parameter of different drilling directions;
Step 2 is set up the angle of internal friction of the different drilling directions of shale sample and counterparty to the relational model between the interval transit time;
Step 3, set up the different drilling directions of shale sample interval transit time and vertical stratification face direction interval transit time, creep into the relational model between the angle;
Step 4, set up the angle of internal friction of the different drilling directions of shale sample and vertical stratification face direction interval transit time, creep into the relational model of angle;
Step 5 obtains the well-log information of on-the-spot shale, the interval transit time of Inversion Calculation shale vertical stratification face direction;
Step 6, according to the angle of internal friction of the different drilling directions of determined shale formation and the interval transit time of the shale vertical stratification face direction that the interval transit time of vertical stratification face direction, the relational model that creeps into angle and Inversion Calculation obtain, determine the angle of internal friction of the different drilling directions of described on-the-spot shale, i.e. the abrasiveness of this direction.
A kind of rock abrasiveness mensuration system comprises: storage part, interval transit time determination part and calculating part, store in the storage part angle of internal friction of the different drilling directions of predetermined shale formation and vertical stratification face direction interval transit time, creep into the relation between the angle;
The interval transit time determination part comprises acoustic measurement device and arithmetic unit; The interval transit time that is used for measuring the interval transit time of shale samples vertical bedding direction or is obtained vertical stratification face direction by the well-log information Inversion Calculation;
Calculating part is connected with the interval transit time determination part with storage part, from storage part obtain the angle of internal friction of the different drilling directions of predetermined shale formation and vertical stratification face direction interval transit time, creep into the relation between the angle, obtain the interval transit time of shale samples vertical bed plane direction from the interval transit time determination part, and calculate the angle of internal friction of the different drilling directions of shale sample.
Relative prior art, the present invention has following advantage: can utilize on-the-spot acoustic logging data to come the abrasiveness of estimating the different drilling directions of shale formation with boring, save the down-hole cost of coring, make things convenient for The field, all significant for the bit type selection in the drilling engineering, parameter optimization and directional well well track optimal design etc.
Description of drawings
Fig. 1 shows the flow chart of the different drilling direction abrasiveness of shale formation assay method;
The angle that Fig. 2 shows between rock core axis and the bed plane normal concerns schematic diagram;
Fig. 3 shows the flow chart that utilizes the acoustic logging data to ask for vertical shale bedding direction compressional wave time difference method;
Fig. 4 shows the schematic diagram that rock abrasiveness of the present invention is measured system.
The specific embodiment
As shown in Figure 1, the method for the abrasiveness of the different drilling directions of prediction shale formation comprises the following steps:
Step 1 is measured the shale sample respectively in angle of internal friction and the acoustic wave character parameter of different drilling directions; Concrete grammar is as follows:
Gather the shale sample from a plurality of different regions, for example gather the shale sample from a plurality of oil fields; For the representative and popularity of relation between the acoustic wave character parameter of the angle of internal friction that guarantees the different drilling directions of determined shale sample and vertical stratification face direction, need be from different location collection rock sample as much as possible as much as possible.
After gathering rock sample, each shale sample is carried out the interval transit time of different bed plane directions and measures, utilize then three rock mechanics simulation test machines to shale sample counterparty to angle of internal friction measure, obtain the angle of internal friction of different drilling directions.Table 1 shows the angle of the shale sample under the different drilling directions and corresponding angle of internal friction, interval transit time.Drilling direction as shown in Figure 2, the vertical stratification direction be 0 the degree, the parallel bedding direction be 90 the degree.
Table 1
Drilling direction is the axial of shale sample, with the relationship consistency of angle shown in Figure 2.
Step 2 is set up the angle of internal friction of the different drilling directions of shale sample and counterparty to the relational model between the interval transit time.Concrete grammar is as follows:
Angle of internal friction to the different drilling directions of shale sample is carried out nonlinear regression analysis with corresponding drilling direction interval transit time, sets up Mathematical Modeling, obtain as shown in the formula:
Wherein
Represent the angle of internal friction under the different drilling directions, unit (°);
Represent the interval transit time under the different drilling directions, unit (us/m);
Represent the angle (as shown in Figure 2) of rock core axis and bedding normal direction, unit (°).
Need to prove that the relational expression between the angle of internal friction shown in the formula 1 and the interval transit time is not restrictive.According to the certainty of measurement of shale sample collecting situation, angle of internal friction, the certainty of measurement of sound wave etc., determined relational expression may have difference slightly, but this does not influence enforcement of the present invention.
Step 3, set up the different drilling directions of shale sample interval transit time and vertical stratification face direction interval transit time, creep into the relational model between the angle.Concrete grammar is as follows:
To the interval transit time of the interval transit time of the different drilling directions of shale sample and vertical stratification direction, creep into angle and carry out nonlinear regression analysis, set up Mathematical Modeling, obtain as shown in the formula:
Wherein Δ t (0) represents the compressional wave time difference of vertical shale bed plane direction, unit (us/m);
Represent the angle of rock core axis and bedding normal direction, unit (°).
Need explanation, each coefficient in the formula 2 is to depend on the corresponding data of carrying out multiple regression, and coefficient is not to be unique, and the expression formula in the formula 2 only is to give an example as a kind of.
Step 4, set up the angle of internal friction of the different drilling directions of shale sample and vertical stratification face direction interval transit time, creep into the relational model of angle.Concrete grammar is as follows:
Formula 2 is brought in the formula 1, sets up Mathematical Modeling, obtain as shown in the formula;
Wherein
Represent the angle of internal friction under the different drilling directions, unit (°); Δ t (0) represents the interval transit time of vertical stratification face direction, unit (us/m);
Represent the angle of rock core axis and bedding normal direction, unit (°).
The expression formula of above-mentioned forecast model only is that for example rather than this model only limits to this expression formula as a kind of, and therefore the equation of above-mentioned forecast model should not be construed as the restriction to the embodiment of the invention.
Step 5 obtains the well-log information of on-the-spot shale, the interval transit time of Inversion Calculation shale vertical stratification face direction.Concrete grammar is as follows:
As shown in Figure 3, it is as follows to utilize well-log information to ask for vertical stratification direction interval transit time method:
Determine after the rock anisotropy parameter ε and δ of a certain well section, wherein
In the formula, C
IjImplication abide by Hooke's law, be not described further at this.
At first calculate crowd angle φ according to attitude of stratum data and hole trajectory data
g
Next given one initial vertical stratification face direction velocity of longitudinal wave v
P, 0,
v
P, 0Be vertical stratification face direction velocity of longitudinal wave, unit (km/s); v
SV, 0Be vertical stratification face direction shear wave velocity, unit (km/s).
Calculate shear wave velocity, determine ripple ratio in length and breadth.
Calculate phase angle again
Wherein, M
1=ε
2-2t δ+2t ε; M
2(θ)=4t δ+ε R (θ)-2t ε; M
3(θ)=2t δ+ε R (θ)-t ε; M
4(θ)=t
2-tR (θ)+2R (θ);
φ
gBe the group angle, unit (°); v
aBe phase velocity, unit (km/s); θ is phase angle, unit (°); α
0Be the velocity of longitudinal wave of vertical stratification face direction, unit (km/s); β
0Be the shear wave velocity of vertical stratification face direction, unit (km/s).
Calculate phase velocity then,
Wherein
v
PaBe the compressional wave phase velocity, unit (km/s); α
0Be the velocity of longitudinal wave of vertical stratification face direction, unit (km/s).
Calculate group velocity:
At last the velocity of wave of the group velocity that calculates and well-log information is compared, if both coincide, this v then
P, 0Being institute asks.If both differ bigger, then change v
P, 0Repeat above step till both match.
After obtaining the velocity of wave of vertical stratification face direction, can obtain the interval transit time Δ t (0) of this direction.
Δ t (0) is vertical stratification face direction interval transit time, unit (us/m); v
P, 0Be vertical stratification face direction velocity of longitudinal wave, unit (km/s).
Step 6, during according to the sound wave of the angle of internal friction of the different drilling directions of determined shale formation and the shale vertical stratification face direction that the interval transit time of vertical stratification face direction, the relational model that creeps into angle and Inversion Calculation obtain, determine the angle of internal friction of the different drilling directions of described on-the-spot shale, i.e. the abrasiveness of this direction.Concrete grammar is as follows:
The interval transit time substitution formula 3 of the vertical stratification face direction that step 5 is obtained can obtain the angle of internal friction of each drilling direction of shale formation, the i.e. abrasiveness of this direction.
The present invention can predict the abrasiveness of the different drilling directions of shale formation, and is significant for the bit type selection in the drilling engineering, drilling parameter optimization and directional well well track optimal design.
The present invention can also set up rock abrasiveness and measure system.As shown in Figure 4, the rock abrasiveness mensuration system of present embodiment comprises: storage part 21, interval transit time determination part 22 and calculating part 23.In addition, can also comprise input part 24 and efferent 25.
Store in the storage part 21 angle of internal friction of the different drilling directions of predetermined shale formation and vertical stratification face direction interval transit time, creep into the relation between the angle.This relation can be the form of formula, also can be form of mapping table etc., and is unqualified at this.The angle of internal friction of the different drilling directions of this predetermined shale formation and counterparty to interval transit time between relation can be by the step 1 in the above-mentioned embodiment, 2,3,4 processing obtains, and is not giving unnecessary details at this.
Interval transit time determination part 22 can comprise acoustic measurement device and arithmetic unit.The interval transit time that is used for measuring the interval transit time of shale samples vertical bedding direction or is obtained vertical stratification face direction by the well-log information Inversion Calculation.The acoustic measurement device carries out the acoustic measurement of vertical stratification direction to the shale sample, obtains the interval transit time of this direction, and arithmetic unit is based on the interval transit time of well-log information Inversion Calculation shale samples vertical bed plane direction.
Calculating part 23 is connected with interval transit time determination part 22 with storage part 21, from storage part 21 obtain the angle of internal friction of the different drilling directions of predetermined shale formation and vertical stratification face direction interval transit time, creep into the relation between the angle, obtain the interval transit time of shale samples vertical bed plane direction from interval transit time determination part 22, and calculate the angle of internal friction of the different drilling directions of shale sample.Calculating part 23 can be made of the equipment that computer, PLC etc. has an operational capability.
According to rock abrasiveness assay method of the present invention and system, be not subjected to the restriction of down-hole centering technique, quantity and direction, therefore economic and practical especially.In addition, utilize on-the-spot well-log information to come to estimate rock abrasiveness with boring, complete have advantage such as the low and well piecewise analysis of cost.
Claims (10)
1. a method of predicting the abrasiveness of the different drilling directions of shale formation is characterized in that: comprise the following steps:
Step 1 is measured the shale sample respectively in angle of internal friction and the acoustic wave character parameter of different drilling directions;
Step 2 is set up the angle of internal friction of the different drilling directions of shale sample and counterparty to the relational model between the interval transit time;
Step 3, set up the different drilling directions of shale sample interval transit time and vertical stratification face direction interval transit time, creep into the relational model between the angle;
Step 4, set up the angle of internal friction of the different drilling directions of shale sample and vertical stratification face direction interval transit time, creep into the relational model of angle;
Step 5 obtains the well-log information of on-the-spot shale, the interval transit time of the vertical stratification face direction of Inversion Calculation shale;
Step 6, according to the angle of internal friction of the different drilling directions of determined shale formation and the interval transit time of the shale vertical stratification face direction that the interval transit time of vertical stratification face direction, the relational model that creeps into angle and Inversion Calculation obtain, determine the angle of internal friction of the different drilling directions of described on-the-spot shale, i.e. the abrasiveness of this direction.
2. the method for the abrasiveness of the different drilling directions of prediction shale formation according to claim 1, it is characterized in that, the concrete grammar of step 1 is as follows: gather the shale sample from a plurality of different regions, after gathering rock sample, each shale sample being carried out the interval transit time of different bed plane directions measures, utilize then three rock mechanics simulation test machines to shale sample counterparty to angle of internal friction measure, obtain the angle of internal friction of different drilling directions.
3. according to the method for the abrasiveness of the different drilling directions of the described prediction shale formation of claim 1-2, it is characterized in that, the concrete grammar of step 2 is as follows: the angle of internal friction to the different drilling directions of shale sample is carried out nonlinear regression analysis with corresponding drilling direction interval transit time, sets up Mathematical Modeling.
4. according to the method for the abrasiveness of the different drilling directions of the described prediction shale formation of claim 1-3, it is characterized in that, the concrete grammar of step 3 is as follows: to the interval transit time of the interval transit time of the different drilling directions of shale sample and vertical stratification direction, creep into angle and carry out nonlinear regression analysis, set up Mathematical Modeling.
5. according to the method for the abrasiveness of the different drilling directions of the described prediction shale formation of claim 1-4, it is characterized in that the concrete grammar of step 4 is as follows: the Mathematical Modeling that step 3 is obtained is brought in the Mathematical Modeling that step 2 obtains, and sets up Mathematical Modeling.
6. according to the method for the abrasiveness of the different drilling directions of the described prediction shale formation of claim 1-5, it is characterized in that the concrete grammar of step 5 is as follows:
Determine after the rock anisotropy parameter ε and δ of a certain well section, wherein
In the formula, C
IjImplication abide by Hooke's law;
At first calculate crowd angle φ according to attitude of stratum data and hole trajectory data
g
Next given one initial vertical stratification face direction velocity of longitudinal wave V
P, 0,
v
P, 0Be vertical stratification face direction velocity of longitudinal wave, unit (km/s); v
SV, 0Be vertical stratification face direction shear wave velocity, unit (km/s).
Calculate shear wave velocity, determine ripple ratio in length and breadth;
Calculate phase angle again
Wherein, M
1=ε
2-2t δ+2t ε; M
2(θ)=4t δ+ε R (θ)-2t ε; M
3(θ)=2t δ+ε R (θ)-t ε; M
4(θ)=t
2-tR (θ)+2R (θ);
φ
gBe the group angle, unit (°); v
aBe phase velocity, unit (km/s); θ is phase angle, unit (°); α
0Be the velocity of longitudinal wave of vertical stratification face direction, unit (km/s); β
0Be the shear wave velocity of vertical stratification face direction, unit (km/s);
Calculate phase velocity then,
Wherein
v
PaBe the compressional wave phase velocity, unit (km/s); α
0Be the velocity of longitudinal wave of vertical stratification face direction, unit (km/s);
Calculate group velocity:
At last the velocity of wave of the group velocity that calculates and well-log information is compared, if both coincide, this v then
P, 0Being institute asks.If both differ bigger, then change v
P, 0Repeat above step till both match.
7. according to the method for the abrasiveness of the different drilling directions of the described prediction shale formation of claim 1-6, it is characterized in that, the concrete grammar of step 6 is as follows: the Mathematical Modeling that the interval transit time substitution step 4 of the vertical stratification face direction that step 5 is obtained obtains, can obtain the angle of internal friction of each drilling direction of shale formation, i.e. the abrasiveness of this direction.
8. a rock abrasiveness mensuration system comprises: storage part, interval transit time determination part and calculating part is characterized in that:
Store in the storage part angle of internal friction of the different drilling directions of predetermined shale formation and vertical stratification face direction interval transit time, creep into the relation between the angle;
The interval transit time determination part comprises acoustic measurement device and arithmetic unit; The interval transit time that is used for measuring the interval transit time of shale samples vertical bedding direction or is obtained vertical stratification face direction by the well-log information Inversion Calculation;
Calculating part is connected with the interval transit time determination part with storage part, from storage part obtain the angle of internal friction of the different drilling directions of predetermined shale formation and vertical stratification face direction interval transit time, creep into the relation between the angle, obtain the interval transit time of shale samples vertical bed plane direction from the interval transit time determination part, and calculate the angle of internal friction of the different drilling directions of shale sample.
9. rock abrasiveness according to claim 8 is measured system, it is characterized in that:
Also comprise input part and efferent;
Input part is used for to calculating part input operation instruction, and calculating part can begin the calculating of angle of internal friction according to the instruction from the input part input;
Efferent is used for the angle of internal friction of the different drilling directions that the output calculating part calculates, the perhaps rock abrasiveness of estimating based on this angle of internal friction.
10. described rock abrasiveness is measured system according to Claim 8-9, it is characterized in that:
Calculating part can be made of computer, PLC; Input part can be made of keyboard, mouse, touch-screen; Efferent can be made of display unit, printing equipment or storage device; Storage part and interval transit time determination part and calculating part integrate, and perhaps separate physically, perhaps are connected with calculating part with the interval transit time determination part by networks such as internet, LANs.
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CN106919805A (en) * | 2017-04-11 | 2017-07-04 | 中国石油大学(北京) | The real method and device for boring shale formation PDC drill bit rock drillability of prediction |
CN113009592A (en) * | 2021-03-03 | 2021-06-22 | 中国石油大学(北京) | Evaluation method and correction method for conglomerate stratum rock abrasiveness parameters |
CN115407046A (en) * | 2022-08-05 | 2022-11-29 | 西南石油大学 | Comprehensive grindability characterization method based on rock microscopic structure and equivalent quartz content |
CN115879325A (en) * | 2023-02-22 | 2023-03-31 | 西南交通大学 | Sliding surface shear strength parameter inversion method, device, equipment and readable storage medium |
US11933109B2 (en) | 2022-06-30 | 2024-03-19 | Saudi Arabian Oil Company | Method for predicting rock formation abrasiveness and bit wear |
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CN113009592A (en) * | 2021-03-03 | 2021-06-22 | 中国石油大学(北京) | Evaluation method and correction method for conglomerate stratum rock abrasiveness parameters |
CN113009592B (en) * | 2021-03-03 | 2022-02-25 | 中国石油大学(北京) | Evaluation method and correction method for conglomerate stratum rock abrasiveness parameters |
US11933109B2 (en) | 2022-06-30 | 2024-03-19 | Saudi Arabian Oil Company | Method for predicting rock formation abrasiveness and bit wear |
CN115407046A (en) * | 2022-08-05 | 2022-11-29 | 西南石油大学 | Comprehensive grindability characterization method based on rock microscopic structure and equivalent quartz content |
CN115407046B (en) * | 2022-08-05 | 2024-04-16 | 西南石油大学 | Comprehensive abrasiveness characterization method based on rock microstructure and equivalent quartz content |
CN115879325A (en) * | 2023-02-22 | 2023-03-31 | 西南交通大学 | Sliding surface shear strength parameter inversion method, device, equipment and readable storage medium |
CN115879325B (en) * | 2023-02-22 | 2023-06-09 | 西南交通大学 | Sliding surface shear strength parameter inversion method, device, equipment and readable storage medium |
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