CN116305811A - Rapid determination method for macroscopic strength parameters of layered rock mass - Google Patents

Rapid determination method for macroscopic strength parameters of layered rock mass Download PDF

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CN116305811A
CN116305811A CN202310092987.3A CN202310092987A CN116305811A CN 116305811 A CN116305811 A CN 116305811A CN 202310092987 A CN202310092987 A CN 202310092987A CN 116305811 A CN116305811 A CN 116305811A
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rock mass
matrix
residual
strength
intensity
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高阳
张传庆
胡明明
周辉
胡大伟
杨凡杰
卢景景
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Wuhan Institute of Rock and Soil Mechanics of CAS
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Abstract

The application discloses a method for quickly determining macroscopic strength parameters of a layered rock mass, which comprises the following steps of: s1, carrying out a conventional single triaxial compression test on a matrix rock mass to obtain a stress strain curve of the matrix rock mass, and fitting the peak strength and the residual strength of the matrix rock mass under different confining pressures to obtain the strength parameters of the matrix rock mass; s2, carrying out a shear test on the bedding sample to obtain a stress-strain curve of the bedding structural surface, and fitting the peak strength and the residual strength of the bedding structural surface under different normal stresses to obtain the strength parameter of the bedding structural surface; and S3, taking the average value of the peak intensity of the matrix rock mass and the peak intensity of the lamellar structure surface, and the average value of the residual intensity of the matrix rock mass and the residual intensity of the lamellar structure surface, and obtaining the macroscopic equivalent intensity parameter of the lamellar rock mass without intermittent joint cracks.

Description

Rapid determination method for macroscopic strength parameters of layered rock mass
Technical Field
The application relates to the technical field of geotechnical engineering, in particular to a rapid determination method for macroscopic strength parameters of a layered rock mass.
Background
Due to the influence of dominant directions of the bedding, the strength parameters of the layered rock body show remarkable anisotropism, and the mechanical behaviors and the destruction modes of the rocks with different bedding dip angles are obviously different. In geotechnical engineering analysis, more parameters are often needed by a complex constitutive model when the calculation analysis of large geotechnical engineering is particularly carried out, and due to the limitation of basic data and consideration of calculation efficiency and difficulty, the laminar rock mass is often required to be equivalent to a homogeneous isotropic medium for analysis, and under the condition, the macroscopic equivalent strength parameter value of the laminar rock mass has great influence on the accuracy of engineering analysis.
Disclosure of Invention
The embodiment of the application provides a rapid determination method for macroscopic strength parameters of a layered rock mass, which is based on simple mechanical test data of the layered rock mass, and can rapidly determine reasonable equivalent mechanical parameters of the layered rock mass, and the technical scheme is as follows:
the application provides a rapid determination method of macroscopic intensity parameters of a layered rock mass, which comprises the following steps of: s1, carrying out a conventional single triaxial compression test on a matrix rock mass to obtain a stress strain curve of the matrix rock mass, and fitting the peak strength and the residual strength of the matrix rock mass under different confining pressures to obtain the strength parameters of the matrix rock mass; s2, carrying out a shear test on the bedding sample to obtain a stress-strain curve of the bedding structural surface, and fitting the peak strength and the residual strength of the bedding structural surface under different normal stresses to obtain the strength parameter of the bedding structural surface; and S3, taking the average value of the peak intensity of the matrix rock mass and the peak intensity of the lamellar structure surface, and the average value of the residual intensity of the matrix rock mass and the residual intensity of the lamellar structure surface, and obtaining the macroscopic equivalent intensity parameter of the lamellar rock mass without intermittent joint cracks.
For example, in the method for quickly determining macroscopic strength parameters of a layered rock mass according to one embodiment, the method further includes the following steps for the layered rock mass including intermittent joint cracks: s4, the intermittent joint cracks are equivalent to through joint cracks, and the strength parameters of the equivalent through joint cracks are obtained according to the through rate, the strength parameters of the matrix rock in the S1 and the strength parameters of the layer structure surface in the S2; s5, averaging the intensity parameters of the matrix rock mass in the S1 and the intensity parameters of the equivalent through joint cracks in the S4 to obtain intensity parameters of an interlayer matrix; and S6, averaging the intensity parameter of the interlayer matrix in the S5 and the intensity parameter of the lamellar structure surface in the S2 to obtain the intensity parameter of the lamellar rock mass containing the intermittent joint cracks.
For example, in the method for quickly determining a macroscopic strength parameter of a layered rock mass according to one embodiment, the macroscopic equivalent strength parameter of the layered rock mass without intermittent joint cracks in S3 satisfies the following relationship:
Figure BDA0004070859850000021
Figure BDA0004070859850000022
Figure BDA0004070859850000023
Figure BDA0004070859850000024
wherein c 0 Is the initial cohesive force of matrix rock mass,
Figure BDA0004070859850000025
Is the initial internal friction angle, c, of the matrix rock mass 0r Residual cohesion of matrix rock, < >>
Figure BDA0004070859850000026
Residual internal friction angle of the matrix rock mass; c j Initial cohesion for the layer structured face,>
Figure BDA0004070859850000027
initial internal friction angle, c, for the laminar structural face jr Residual cohesion for the laminated structural surface,>
Figure BDA0004070859850000028
the residual internal friction angle of the lamellar structure surface; c m Initial cohesion of layered rock mass without intermittent joint cracks, < >>
Figure BDA0004070859850000029
Initial internal friction angle, c, of lamellar rock mass without intermittent joint fissures mr Residual cohesion of lamellar rock mass without intermittent joint fissures, < >>
Figure BDA00040708598500000210
Is the residual internal friction angle of the lamellar rock body without intermittent joint cracks.
For example, in the method for quickly determining macroscopic strength parameters of a layered rock mass according to one embodiment, the strength parameters equivalent to the through joint cracks in S4 satisfy the following relationship:
Figure BDA00040708598500000211
Figure BDA00040708598500000212
Figure BDA00040708598500000213
Figure BDA00040708598500000214
wherein eta is the through rate,
Figure BDA00040708598500000215
initial cohesion for equivalent through joint fissures, is>
Figure BDA00040708598500000216
Initial internal friction angle for equivalent through joint fissure, +.>
Figure BDA0004070859850000031
Residual cohesion for equivalent through joint fissures, is>
Figure BDA0004070859850000032
Is the residual internal friction angle of the equivalent through joint fracture.
For example, in the method for quickly determining macroscopic strength parameters of a layered rock mass according to one embodiment, the strength parameters of the interlayer matrix in S5 satisfy the following relationship:
Figure BDA0004070859850000033
Figure BDA0004070859850000034
Figure BDA0004070859850000035
Figure BDA0004070859850000036
wherein,,
Figure BDA0004070859850000037
is the initial cohesion of the interlayer matrix,/>
Figure BDA0004070859850000038
Is the initial internal friction angle of the interlayer matrix, +.>
Figure BDA0004070859850000039
Residual cohesion for interlayer matrix, +.>
Figure BDA00040708598500000310
Is the residual internal friction angle of the interlayer matrix.
For example, in the method for quickly determining macroscopic strength parameters of a layered rock mass according to one embodiment, the strength parameters of the layered rock mass including intermittent joint cracks in S6 satisfy the following relation:
Figure BDA00040708598500000311
Figure BDA00040708598500000312
Figure BDA00040708598500000313
Figure BDA00040708598500000314
wherein c m ' initial cohesion of layered rock mass containing intermittent joint cracks
Figure BDA00040708598500000315
Initial internal friction of lamellar rock mass containing intermittent joint fissuresAngle wiper, c mr ' residual cohesion of lamellar rock mass containing intermittent joints, ">
Figure BDA00040708598500000316
Is the residual internal friction angle of the lamellar rock mass containing intermittent joint cracks.
The rapid determination method for the macroscopic strength parameters of the layered rock mass provided by some embodiments of the application has the beneficial effects that: the macroscopic intensity parameter determination method based on the simple mechanical test data of the layered rock mass can rapidly determine reasonable equivalent mechanical parameters of the layered rock mass, is used for carrying out stability analysis and evaluation of geotechnical engineering, and provides support for reasonably evaluating deformation and damage conditions of surrounding rock of the layered rock mass geotechnical engineering.
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In order to more clearly illustrate the embodiments of the present description or the technical solutions in the prior art, the drawings that are needed in the embodiments will be briefly described below, it being obvious that the drawings in the following description are only some embodiments of the present application, and that other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a schematic diagram of a method for rapid determination of macroscopic strength parameters of a layered rock mass according to the present application;
fig. 2 is a schematic view of the intermittent joint fracture equivalent to a through joint fracture of the present application.
Detailed Description
The following description of the embodiments of the present application will be made clearly and fully with reference to the accompanying drawings, in which it is evident that the embodiments described are only some, but not all, of the embodiments of the present application. All other embodiments, which can be made by one of ordinary skill in the art without undue burden from the present disclosure, are within the scope of the present disclosure.
Unless defined otherwise, technical or scientific terms used in this disclosure should be given the ordinary meaning as understood by one of ordinary skill in the art to which this disclosure belongs. The terms "first," "second," and the like, as used in this disclosure, do not denote any order, quantity, or importance, but rather are used to distinguish one element from another. The word "comprising" or "comprises", and the like, means that elements or items preceding the word are included in the element or item listed after the word and equivalents thereof, but does not exclude other elements or items. The terms "connected" or "connected," and the like, are not limited to physical or mechanical connections, but may include electrical connections, whether direct or indirect. "upper", "lower", "left", "right", etc. are used merely to indicate relative positional relationships, which may also be changed when the absolute position of the object to be described is changed.
The application provides a rapid determination method for macroscopic strength parameters of a layered rock mass, in particular to a rapid determination method for macroscopic strength parameters of the layered rock mass:
the method for determining the macroscopic strength parameter of the layered rock mass without the intermittent joint cracks comprises the following steps:
s1, performing a conventional single triaxial compression test on a matrix rock to obtain a stress strain curve of the matrix rock, such as a curve OABC in FIG. 1, and fitting the peak strength and the residual strength of the matrix rock under different confining pressures to obtain strength parameters of the matrix rock, wherein a point A is the peak strength of the matrix rock, and a point B is a residual section strength inflection point of the matrix rock; the strength parameters of the matrix rock mass specifically include: initial cohesion c of matrix rock mass 0 Initial internal friction angle of matrix rock mass
Figure BDA0004070859850000051
Residual cohesion c of matrix rock mass 0r Residual internal friction angle of matrix rock +.>
Figure BDA0004070859850000052
S2, carrying out a shear test on the laminated sample to obtain a stress-strain curve of the laminated structural surface, such as a curve ODEF in FIG. 1, fitting the peak strength and the residual strength of the laminated structural surface under different normal stresses,obtaining the strength parameter of the laminated structural surface, wherein the point D is the peak strength of the laminated structural surface, and the point E is the inflection point of the strength of the residual section of the laminated structural surface; the strength parameters of the laminated structural surface specifically comprise: initial cohesion c of the laminated structural face j Initial internal friction angle of lamellar structured surface
Figure BDA0004070859850000053
Residual cohesive force c of the laminated structural surface jr Residual internal friction angle of lamellar structure face +.>
Figure BDA0004070859850000054
S3, taking an average value of the peak intensity of the matrix rock mass and the peak intensity of the layer structure surface, and an average value of the residual intensity of the matrix rock mass and the residual intensity of the layer structure surface, and obtaining macroscopic equivalent intensity parameters of the layer rock mass without intermittent joint cracks, wherein as shown in figure 1, AD, BE and CF are connected, a middle point G, H, I is taken, and a curve OGH I is obtained, so that the macroscopic equivalent intensity parameters of the layer rock mass without intermittent joint cracks can BE obtained, and specifically comprise the following steps: initial cohesion c of layered rock mass without intermittent joint cracks m Initial internal friction angle of laminar rock mass without intermittent joint cracks
Figure BDA0004070859850000055
Residual cohesion c of laminar rock mass without intermittent joint cracks mr Residual internal friction angle of lamellar rock mass without intermittent joint cracks +.>
Figure BDA0004070859850000056
The specific calculation formula is as follows:
Figure BDA0004070859850000057
Figure BDA0004070859850000058
Figure BDA0004070859850000059
Figure BDA00040708598500000510
for the layered rock mass containing the intermittent joint cracks, the influence of the intermittent joint cracks on the interlayer matrix mechanical properties needs to be considered, and the method for determining the macroscopic strength parameters of the layered rock mass containing the intermittent joint cracks further comprises the following steps:
s4, enabling the intermittent joint cracks to be equivalent to through joint cracks, obtaining parameters of equivalent through joint according to the parameters of the intermittent joint, obtaining the strength parameters of equivalent through joint cracks according to the through rate, the strength parameters of the matrix rock in S1 and the strength parameters of the layer structure surface in S2, wherein the strength parameters of equivalent through joint cracks meet the following relation:
Figure BDA0004070859850000061
Figure BDA0004070859850000062
Figure BDA0004070859850000063
Figure BDA0004070859850000064
wherein eta is the through rate,
Figure BDA0004070859850000065
initial cohesion for equivalent through joint fissures, is>
Figure BDA0004070859850000066
Initial internal friction angle for equivalent through joint fissure, +.>
Figure BDA0004070859850000067
Residual cohesion for equivalent through joint fissures, is>
Figure BDA0004070859850000068
Is the residual internal friction angle of the equivalent through joint fracture.
Wherein, the schematic diagram of the intermittent joint fracture equivalent to the through joint fracture is shown in fig. 2.
S5, averaging the intensity parameters of the matrix rock mass in the S1 and the intensity parameters of the equivalent through joint cracks in the S4 to obtain intensity parameters of an interlayer matrix considering the influence of the equivalent through joint cracks on the mechanical properties of the interlayer matrix, wherein the intensity parameters of the interlayer matrix meet the following relation:
Figure BDA0004070859850000069
Figure BDA00040708598500000610
Figure BDA00040708598500000611
Figure BDA00040708598500000612
wherein,,
Figure BDA00040708598500000613
is the initial cohesion of the interlayer matrix,/>
Figure BDA00040708598500000614
Is the initial internal friction angle of the interlayer matrix, +.>
Figure BDA00040708598500000615
Residual cohesion for interlayer matrix, +.>
Figure BDA00040708598500000616
Is the residual internal friction angle of the interlayer matrix.
S6, averaging the intensity parameter of the interlayer matrix in the S5 and the intensity parameter of the layer structure surface in the S2 to obtain the intensity parameter of the layered rock mass containing the intermittent joint cracks of the equivalent isotropic homogeneous rock mass comprehensively considering the influence of the layer structure and the intermittent joint cracks, wherein the intensity parameter of the layered rock mass containing the intermittent joint cracks meets the following relational expression:
Figure BDA0004070859850000071
Figure BDA0004070859850000072
Figure BDA0004070859850000073
Figure BDA0004070859850000074
wherein c m ' initial cohesion of layered rock mass containing intermittent joint cracks
Figure BDA0004070859850000075
Initial internal friction angle, c, of lamellar rock mass containing intermittent joints mr ' residual cohesion of lamellar rock mass containing intermittent joints, ">
Figure BDA0004070859850000076
Residual internal friction angle of lamellar rock mass containing intermittent joint cracks。
Application case
Because the engineering is in a pre-lapping stage and lacks the geological data of the system, the related mechanical parameters of the layered rock mass need to be rapidly determined on the basis of a small amount of geological data, and for this purpose, an indoor conventional single triaxial compression test and a shearing test of the layered sandstone are carried out, and the strength parameters of the matrix rock mass are determined as follows:
Figure BDA0004070859850000077
the intensity parameters of the laminated structural surface are as follows:
Figure BDA0004070859850000078
according to the on-site survey, the cut fracture penetration rate eta is approximately 0.75, and according to the calculation formula of the strength parameter of the equivalent through joint fracture in the S4, the strength parameter of the equivalent through joint fracture is calculated as follows:
Figure BDA0004070859850000079
and then according to the calculation formula of the intensity parameter of the interlayer matrix considering the slicing crack in the step S5, the intensity parameter of the interlayer matrix is calculated as follows:
Figure BDA00040708598500000710
and finally, according to a calculation formula of the strength parameters of the layered rock mass containing intermittent joint cracks, which comprehensively considers the influence of the cutting layer cracks and the layer reason in the step S6, obtaining the strength parameters of the equivalent isotropic homogeneous rock mass, wherein the strength parameters are as follows:
c m ′＝3.62MPa，
Figure BDA0004070859850000081
c mr ′＝0.56MPa，/>
Figure BDA0004070859850000082
although embodiments of the present application have been disclosed above, it is not limited to the details and embodiments shown, it is well suited to various fields of use for the application, and further modifications may be readily made by those skilled in the art without departing from the general concepts defined by the claims and the equivalents thereof, and the application is therefore not limited to the specific details and illustrations shown and described herein.

Claims (6)

1. A rapid determination method for macroscopic intensity parameters of a layered rock mass is characterized by comprising the following steps:
for a layered rock mass without intermittent joints, comprising the steps of:
s1, carrying out a conventional single triaxial compression test on a matrix rock mass to obtain a stress strain curve of the matrix rock mass, and fitting the peak strength and the residual strength of the matrix rock mass under different confining pressures to obtain the strength parameters of the matrix rock mass;
s2, carrying out a shear test on the bedding sample to obtain a stress-strain curve of the bedding structural surface, and fitting the peak strength and the residual strength of the bedding structural surface under different normal stresses to obtain the strength parameter of the bedding structural surface;
and S3, taking the average value of the peak intensity of the matrix rock mass and the peak intensity of the lamellar structure surface, and the average value of the residual intensity of the matrix rock mass and the residual intensity of the lamellar structure surface, and obtaining the macroscopic equivalent intensity parameter of the lamellar rock mass without intermittent joint cracks.
2. A method for rapid determination of macroscopic strength parameters of a layered rock mass according to claim 1,
the method also comprises the following steps of:
s4, the intermittent joint cracks are equivalent to through joint cracks, and the strength parameters of the equivalent through joint cracks are obtained according to the through rate, the strength parameters of the matrix rock in the S1 and the strength parameters of the layer structure surface in the S2;
s5, averaging the intensity parameters of the matrix rock mass in the S1 and the intensity parameters of the equivalent through joint cracks in the S4 to obtain intensity parameters of an interlayer matrix;
and S6, averaging the intensity parameter of the interlayer matrix in the S5 and the intensity parameter of the lamellar structure surface in the S2 to obtain the intensity parameter of the lamellar rock mass containing the intermittent joint cracks.
3. The method for quickly determining macroscopic strength parameters of a layered rock mass according to claim 1, wherein the macroscopic equivalent strength parameters of the layered rock mass without intermittent joint cracks in S3 satisfy the following relation:
Figure FDA0004070859840000021
Figure FDA0004070859840000022
Figure FDA0004070859840000023
Figure FDA0004070859840000024
wherein c 0 Is the initial cohesive force of matrix rock mass,
Figure FDA0004070859840000025
Is the initial internal friction angle, c, of the matrix rock mass 0r Residual cohesion of matrix rock, < >>
Figure FDA0004070859840000026
Residual internal friction angle of the matrix rock mass; c j Initial cohesion for the layer structured face,>
Figure FDA0004070859840000027
initial internal friction angle, c, for the laminar structural face jr Residual cohesion for the laminated structural surface,>
Figure FDA0004070859840000028
the residual internal friction angle of the lamellar structure surface; c m Initial cohesion of layered rock mass without intermittent joint cracks, < >>
Figure FDA0004070859840000029
Initial internal friction angle, c, of lamellar rock mass without intermittent joint fissures mr Residual cohesion of lamellar rock mass without intermittent joint fissures, < >>
Figure FDA00040708598400000210
Is the residual internal friction angle of the lamellar rock body without intermittent joint cracks.
4. The method for quickly determining macroscopic strength parameters of a layered rock mass according to claim 2, wherein the strength parameters equivalent to the through joint cracks in S4 satisfy the following relation:
Figure FDA00040708598400000211
Figure FDA00040708598400000212
Figure FDA00040708598400000213
Figure FDA00040708598400000214
wherein eta is the through rate,
Figure FDA00040708598400000215
initial cohesion for equivalent through joint fissures, is>
Figure FDA00040708598400000216
Initial internal friction angle for equivalent through joint fissure, +.>
Figure FDA00040708598400000217
Residual cohesion for equivalent through joint fissures, is>
Figure FDA00040708598400000218
Is the residual internal friction angle of the equivalent through joint fracture.
5. The method for rapid determination of macroscopic strength parameters of a layered rock mass according to claim 2, wherein the strength parameters of the interlayer matrix in S5 satisfy the following relation:
Figure FDA00040708598400000219
Figure FDA00040708598400000220
Figure FDA0004070859840000031
Figure FDA0004070859840000032
wherein,,
Figure FDA0004070859840000033
is the initial cohesion of the interlayer matrix,/>
Figure FDA0004070859840000034
Is the initial internal friction angle of the interlayer matrix, +.>
Figure FDA0004070859840000035
Residual cohesion for interlayer matrix, +.>
Figure FDA0004070859840000036
Is the residual internal friction angle of the interlayer matrix.
6. The method for quickly determining macroscopic strength parameters of a layered rock mass according to claim 2, wherein the strength parameters of the layered rock mass with intermittent joint cracks in S6 satisfy the following relation:
Figure FDA0004070859840000037
Figure FDA0004070859840000038
Figure FDA0004070859840000039
Figure FDA00040708598400000310
wherein c m ' lamellar with intermittent joint fissuresInitial cohesion of rock mass,
Figure FDA00040708598400000311
Initial internal friction angle, c, of lamellar rock mass containing intermittent joints mr ' residual cohesion of lamellar rock mass containing intermittent joints, ">
Figure FDA00040708598400000312
Is the residual internal friction angle of the lamellar rock mass containing intermittent joint cracks.
CN202310092987.3A 2023-02-10 2023-02-10 Rapid determination method for macroscopic strength parameters of layered rock mass Pending CN116305811A (en)

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