CN111366464A - Method for determining mechanical parameters of fractured formation rock - Google Patents
Method for determining mechanical parameters of fractured formation rock Download PDFInfo
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- CN111366464A CN111366464A CN202010308912.0A CN202010308912A CN111366464A CN 111366464 A CN111366464 A CN 111366464A CN 202010308912 A CN202010308912 A CN 202010308912A CN 111366464 A CN111366464 A CN 111366464A
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- 239000011435 rock Substances 0.000 title claims abstract description 108
- 238000000034 method Methods 0.000 title claims abstract description 28
- 230000015572 biosynthetic process Effects 0.000 title claims abstract description 19
- 230000006378 damage Effects 0.000 claims abstract description 56
- 238000012360 testing method Methods 0.000 claims abstract description 12
- 230000006835 compression Effects 0.000 claims abstract description 11
- 238000007906 compression Methods 0.000 claims abstract description 11
- 238000002474 experimental method Methods 0.000 claims description 8
- 239000000463 material Substances 0.000 claims description 3
- 238000011161 development Methods 0.000 description 6
- 238000013461 design Methods 0.000 description 4
- 238000005553 drilling Methods 0.000 description 4
- 238000010276 construction Methods 0.000 description 3
- 206010017076 Fracture Diseases 0.000 description 2
- 238000010998 test method Methods 0.000 description 2
- 208000010392 Bone Fractures Diseases 0.000 description 1
- BVKZGUZCCUSVTD-UHFFFAOYSA-L Carbonate Chemical compound [O-]C([O-])=O BVKZGUZCCUSVTD-UHFFFAOYSA-L 0.000 description 1
- 230000005483 Hooke's law Effects 0.000 description 1
- 208000027418 Wounds and injury Diseases 0.000 description 1
- 238000002441 X-ray diffraction Methods 0.000 description 1
- 239000011230 binding agent Substances 0.000 description 1
- 239000003245 coal Substances 0.000 description 1
- 239000012530 fluid Substances 0.000 description 1
- 208000014674 injury Diseases 0.000 description 1
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- 230000003068 static effect Effects 0.000 description 1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N3/08—Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/0001—Type of application of the stress
- G01N2203/0003—Steady
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/0014—Type of force applied
- G01N2203/0016—Tensile or compressive
- G01N2203/0019—Compressive
Abstract
A method for determining mechanical parameters of fractured stratum rocks comprises the following steps: 1. preparing a rock core sample; 2. calculating a formation confining pressure value of the core; 3. carrying out confining pressure axial pressure loading test on the rock core to obtain rock mechanical parameters of the rock core; 4. substituting the rock mechanical parameters into the damage variable relational expression to obtain damage variable values corresponding to different strains, and drawing a damage variable-strain curve; 5. fitting a damage variable-strain curve, and determining a damage variable-strain curve fitting equation; 6. substituting the damage variable-strain curve fitting equation into a damage constitutive equation of the triaxial compression deformation process to obtain the damage constitutive equation of the rock under different confining pressure conditions; 7. and (4) calculating the formation confining pressure of the well section without the core, substituting the formation confining pressure into the damage constitutive equation determined in the step 6, drawing a corresponding stress-strain curve, and determining mechanical characteristic parameters related to rock mechanics according to curve characteristics. The invention has simple operation, high result precision, no need of a large amount of coring and low cost.
Description
Technical Field
The invention belongs to the technical field of oil and gas exploration and development, and relates to a method for determining mechanical parameters of fractured formation rocks.
Background
In the fields of oil and gas exploration, development and the like, the determination of stratum rock mechanical parameters is an important basis for formulating drilling and completion design and oil and gas development construction measures. Particularly in the field of drilling and fracturing, the determination of rock mechanical parameters directly influences the determination of a drilling fluid safety density window and the scheme of fracturing construction design, and further influences the design of the whole scheme of an oil field and the oil and gas exploitation amount.
For stratums with cracks, fractures and weak surface development, coring is difficult, cost is high, and some stratums even can not obtain standard samples for experimental tests, so that a method capable of reflecting mechanical characteristics of fractured stratums in real time and calculating stratum parameters economically and effectively is urgently needed. At present, there are two main methods for determining rock mechanical parameters: firstly, establishing a relation between logging data such as longitudinal and transverse wave velocity, stratum density and the like and mechanical parameters by using logging information, and then calculating the mechanical parameters of rocks at corresponding layers; and secondly, taking a full-size rock core back on site by adopting an indoor test method, processing the full-size rock core into a standard rock sample by indoor coring, and obtaining the elastic modulus, the Poisson's ratio and the strength parameter of the rock by utilizing a triaxial rock mechanical test system. Both methods have limitations, and the logging information method is established on the basis of an empirical formula, has no real measuring point verification and has a limited application range. Resulting in some distortion of the results; the indoor experimental test method is the most accurate method for determining the mechanical parameters of the rock at present, and the mechanical parameters need to be obtained through a large number of on-site rock cores, but the obtaining of the large number of on-site rock cores is time-consuming and labor-consuming and has high cost.
The invention patent with publication number CN103852378A discloses a method for measuring rock mechanical parameters by bonding a non-standard size core into a standard size core, which is mainly used for meeting the standard rock sample test required by experiments and obtaining rock mechanical parameter values, but no matter which binder is used for bonding the core, a bonding part has a weak surface for the core, which influences the reliability of the rock mechanical parameter values, and for a fractured stratum, the core is difficult to bond into a standard rock sample, and the method is difficult to implement. The invention patent with publication number CN104020276B discloses a method for inverting transverse isotropic shale reservoir rock mechanical strength parameters through an X-ray diffraction experiment, which is established on the basis of the experiment, so that the inversion result is relatively more accurate, but the method is limited in being suitable for determining isotropic reservoir rock mechanical parameters, and is not suitable for reservoirs with anisotropic characteristics such as coal rock, carbonate rock and the like, cracks and fracture development reservoirs. Therefore, on the basis of developing an indoor rock mechanical parameter experiment, a rock damage evolution model is established based on a strain equivalence hypothesis, a rock damage stress-strain constitutive model is derived based on a damage mechanical theory according to a generalized hooke's law, and the mechanical parameters of rock of the underground non-coring fractured stratum are determined.
Disclosure of Invention
Aiming at the problems, the dynamic and static mechanical parameter regression is carried out on the basis of an indoor test, a fractured stratum rock damage stress strain constitutive model is established on the basis of a damage mechanical theory, the underground coring-incapable well section stratum rock mechanical parameters are determined, and basic data support is provided for drilling and completion design and oil and gas development construction measures.
In order to achieve the aim, the invention provides a method for determining rock mechanical parameters of a fractured stratum, which comprises the following steps in sequence:
(1) coring in a linear cutting mode to obtain a cylindrical standard rock sample with the diameter of 25mm and the length of 50 mm;
(2) estimating the confining pressure value of the well depth where the core processed in the step (1) is located according to an empirical formula (a):
in the formula: pCThe confining pressure of the core in the well depth is MPa;
mu is the Poisson's ratio of the rock and is dimensionless;
Pothe pressure of an overlying rock stratum borne by the core at the well depth is MPa;
Ppthe formation pressure at the well depth where the core is located is MPa;
(3) carrying out confining pressure and axial pressure loading tests on the rock core by using a rock triaxial test system, recording stress and strain data and a related curve graph of the rock core in the loading process, and obtaining rock mechanical parameter experiment data of the rock core;
(4) substituting the experimental data of the rock mechanical parameters under the triaxial compression condition obtained in the step (3) into a damage variable relational expression (b) considering the residual strength:
in the formula: d is a damage variable and is dimensionless, and when D is equal to 1, the rock is considered to be completely damaged;
e and mu are respectively the elastic modulus and Poisson's ratio, GPa, of the complete rock;
σ1the axial stress to which the rock is subjected, MPa;
σ2and σ3Is confining pressure, MPa; normal triaxial time, σ2=σ3;
ε1Is the strain of undamaged part of rock materials, and has no dimension;
σrthe residual strength of the rock is MPa.
Obtaining damage variable values corresponding to different strains, and drawing a damage variable-strain curve of the rock under the triaxial compression condition;
(5) carrying out equation fitting on the damage variable-strain curve obtained in the step (4) to determine a damage variable-strain curve fitting equation;
(6) substituting the damage variable-strain curve fitting equation obtained in the step (5) into a damage constitutive equation in the triaxial compression deformation process:
σ1=Eε1(1-D)+[σr-μ(σ2+σ3)]D+μ(σ2+σ3) (c)
obtaining a damage variable model and a damage constitutive equation of the rock under different confining pressure conditions;
(7) and (3) for the well section without the core, determining the size of the formation confining pressure according to the well depth, substituting the size into the damage constitutive equation determined in the step (6) to obtain a rock stress-strain constitutive equation, drawing a corresponding stress-strain curve according to the relation between stress and strain in the equation, and determining mechanical characteristic parameters related to rock mechanics according to curve characteristics.
Further, the parallelism of two end faces of the core obtained in the step (1) is not more than 0.1 mm.
Further, for the stress-strain curve in the step (7), calculating the slope of a straight-line segment which is an elastic segment, and obtaining an elastic modulus value corresponding to the rock; and determining mechanical parameters including the compressive strength, the residual strength, the yield strength, the strain corresponding to the peak strength and the strain corresponding to the residual strength of the rock according to the peak value of the curve, and inversely calculating the Poisson ratio of the rock according to the parameters.
The method measures the mechanical parameters of the existing rock core through an indoor experiment, determines the damage variable evolution equation and the constitutive equation based on the damage mechanical theory, finally determines the rock mechanical parameter values of the non-coring level, and has the advantages of simple operation, wide application range, high result precision, no need of a large amount of coring and low cost.
Drawings
FIG. 1 is a schematic flow chart of a method for determining mechanical parameters of fractured formation rocks.
Fig. 2 is a graph showing different confining pressure damage variable-strain relationship curves obtained by calculating rock mechanical parameter values in an indoor triaxial compression experiment through inversion.
FIG. 3a is a graph showing the damage variable and strain fitted to a 20MPa confining pressure in an embodiment of the present invention.
FIG. 3b is a graph showing the damage variable and strain fitted to a confining pressure of 30MPa in the example of the present invention.
Fig. 4 is a stress-strain curve of a damage variable-axial strain fitted constitutive equation provided in an embodiment of the present invention.
Detailed Description
The invention is described in detail below with reference to the figures and specific embodiments. The present embodiment is implemented on the premise of the technical solution of the present invention, and a detailed implementation manner and a specific operation process are given, but the scope of the present invention is not limited to the following embodiments.
As shown in fig. 1, a method for determining rock mechanical parameters of a fractured formation according to an embodiment of the present invention includes:
(1) taking a shale stratum in a certain region of a medium petrochemical industry as a research object, taking back cracks and fractured developed shale on site, coring in a linear cutting mode to obtain a cylindrical standard rock sample with the diameter of 25mm and the length of 50mm, and ensuring that the parallelism of two end faces of a rock core is not more than 0.1 mm.
(2) The core in the step (1) is taken from the underground of 3100 meters, and the confining pressure value of the well depth where the core processed in the step (1) is located is estimated according to an empirical formula (a):
in the formula: pCThe confining pressure of the core in the well depth is MPa;
mu is the Poisson's ratio of the rock and is dimensionless;
Pothe pressure of an overlying rock stratum borne by the core at the well depth is MPa;
Ppthe formation pressure at the well depth where the core is located is MPa;
the formation density was assumed to be 2.5g/cm according to the method described above3The formation pressure coefficient is 1.0, the estimated formation pressure is 3100 m, the corresponding confining pressure value is 20MPa, and the estimated well depth is 4750 m, the corresponding confining pressure value is 30 MPa.
(3) A TAW2000 rock triaxial test system is used for carrying out confining pressure and axial pressure loading tests indoors, and the obtained rock mechanical parameter values are shown in table 1.
TABLE 1 values of rock mechanics parameters
(4) Substituting the experimental data of the rock mechanical parameters under the triaxial compression condition obtained in the step (3) into a Lemailre-based strain equivalence hypothesis, and considering a damage variable relation (b) of the residual strength:
in the formula: d is a damage variable and is dimensionless, and when D is equal to 1, the rock is considered to be completely damaged;
e and mu are respectively the elastic modulus and Poisson's ratio, GPa, of the complete rock;
σ1the axial stress to which the rock is subjected, MPa;
σ2and σ3Is confining pressure, MPa; normal triaxial time, σ2=σ3;
ε1Is the strain of undamaged part of rock materials, and has no dimension;
σrthe residual strength of the rock is MPa;
and obtaining damage variable values corresponding to different strains, and drawing a damage variable-strain curve (shown in figure 2) of the rock under the triaxial compression condition.
(5) And (5) carrying out equation fitting on the damage variable-strain curve in the step (4) by utilizing Matlab, and determining an equation expression of the fitted damage variable-axial strain curve (shown in figures 3 a-3 b) as follows:
in the formula: a and r are damage variable fitting parameters and are dimensionless.
(6) Substituting the damage variable evolution equation (d) into the damage constitutive equation (c) considering the residual strength triaxial compression deformation process:
σ1=Eε1(1-D)+[σr-μ(σ2+σ3)]D+μ(σ2+σ3) (c)
the damage evolution constitutive equation can be obtained:
the triaxial mechanical parameters and experimental data of the shale measured by the indoor test can be used for solving a plurality of parameters in the stress-strain constitutive equation: epsilon0Elastic modulus E0And fitting the parameters r and a, and obtaining basic parameters according to the stress-strain curve as shown in the table 2.
TABLE 2 basic parameters of injury
And (4) substituting the determined damage basic parameters into the constitutive equation (e) to obtain a damage evolution constitutive equation.
(7) And (3) for the well section without the core, determining the size of the formation confining pressure according to the well depth, substituting the size into the damage constitutive equation determined in the step (6) to obtain a rock stress-strain constitutive equation, drawing a corresponding stress-strain curve (shown in figure 4) according to the relation between stress and strain in the equation, and determining mechanical characteristic parameters related to rock mechanics according to curve characteristics. The straight line segment in the curve is an elastic segment, and the slope of the straight line segment is calculated to obtain the elastic modulus value corresponding to the rock; and determining mechanical parameters including the compressive strength, the residual strength, the yield strength, the strain corresponding to the peak strength and the strain corresponding to the residual strength of the rock according to the peak value of the curve, and inversely calculating the Poisson ratio of the rock according to the parameters.
Those skilled in the art will appreciate that the details not described in this specification are well known in the art.
Claims (3)
1. A method for determining mechanical parameters of fractured stratum rocks is characterized by comprising the following steps:
(1) coring in a linear cutting mode to obtain a cylindrical standard rock sample with the diameter of 25mm and the length of 50 mm;
(2) estimating the confining pressure value of the well depth where the core processed in the step (1) is located according to an empirical formula (a):
in the formula: pCThe confining pressure of the core in the well depth is MPa;
mu is the Poisson's ratio of the rock and is dimensionless;
Pothe pressure of an overlying rock stratum borne by the core at the well depth is MPa;
Ppthe formation pressure at the well depth where the core is located is MPa;
(3) carrying out confining pressure and axial pressure loading tests on the rock core by using a rock triaxial test system, recording stress and strain data and a related curve graph of the rock core in the loading process, and obtaining rock mechanical parameter experiment data of the rock core;
(4) substituting the experimental data of the rock mechanical parameters under the triaxial compression condition obtained in the step (3) into a damage variable relational expression (b) considering the residual strength:
in the formula: d is a damage variable and is dimensionless, and when D is equal to 1, the rock is considered to be completely damaged;
e and mu are respectively the elastic modulus and Poisson's ratio, GPa, of the complete rock;
σ1the axial stress to which the rock is subjected, MPa;
σ2and σ3Is confining pressure, MPa; normal triaxial time, σ2=σ3;
ε1Is the strain of undamaged part of rock materials, and has no dimension;
σris a rock is subjected toThe residual strength of (d), MPa;
obtaining damage and variable values corresponding to different strains, and drawing a damage variable-strain curve of the rock under the triaxial compression condition;
(5) carrying out equation fitting on the damage variable-strain curve obtained in the step (4) to determine a damage variable-strain curve fitting equation;
(6) substituting the damage variable-strain curve fitting equation obtained in the step (5) into a damage constitutive equation in the triaxial compression deformation process:
σ1=Eε1(1-D)+[σr-μ(σ2+σ3)]D+μ(σ2+σ3) (c)
obtaining a damage variable model and a damage constitutive equation of the rock under different confining pressure conditions;
(7) and (3) for the well section without the core, determining the size of the formation confining pressure according to the well depth, substituting the size into the damage constitutive equation determined in the step (6) to obtain a rock stress-strain constitutive equation, drawing a corresponding stress-strain curve according to the relation between stress and strain in the equation, and determining mechanical characteristic parameters related to rock mechanics according to curve characteristics.
2. A method of determining a fractured formation rock mechanical parameter of claim 1, wherein: and (2) the parallelism of two end faces of the core obtained in the step (1) is not more than 0.1 mm.
3. A method of determining a fractured formation rock mechanical parameter of claim 1, wherein: calculating the slope of the straight line segment of the stress-strain curve in the step (7), wherein the straight line segment in the curve is an elastic segment, and obtaining the elastic modulus value corresponding to the rock; and determining mechanical parameters including the compressive strength, the residual strength, the yield strength, the strain corresponding to the peak strength and the strain corresponding to the residual strength of the rock according to the peak value of the curve, and inversely calculating the Poisson ratio of the rock according to the parameters.
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Cited By (3)
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CN116611265A (en) * | 2023-07-18 | 2023-08-18 | 北京建筑大学 | Method and device for predicting stress and strain of deep anisotropic rock |
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Cited By (5)
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CN116611265A (en) * | 2023-07-18 | 2023-08-18 | 北京建筑大学 | Method and device for predicting stress and strain of deep anisotropic rock |
CN116611265B (en) * | 2023-07-18 | 2023-09-22 | 北京建筑大学 | Method and device for predicting stress and strain of deep anisotropic rock |
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