Method for inverting transverse isotropic rock mass ground stress
A transversely isotropic and in-situ stress technology is applied in the field of inversion of transversely isotropic rock mass in-situ stress, which can solve the problems of high cost of measurement equipment, limited application range of measurement results, and damage to rock mass structure and properties. Achieve the effect of avoiding complex equipment layout and simple and fast calculation method
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Embodiment 1
[0045] The invention relates to a method for inverting the in-situ stress of transversely isotropic rock mass, which inverts the in-situ stress of transversely isotropic rock mass through the displacement of rock mass in the roadway, comprising the following steps:
[0046] (1) Establish a transversely isotropic rock mass model in the x-y-z coordinate system. The cross section of the roadway is parallel to the xoy plane, and the roadway is excavated along the oz axis, where the xoy plane is the transversely isotropic plane, and the oz axis is Symmetry axis;
[0047] (2) Determine the direction of the in-situ stress of the transversely isotropic rock mass, the initial in-situ stress in the vertical direction is p along the y-axis direction, and the initial in-situ stress in the horizontal direction is q along the x-axis direction;
[0048](3) Take the rock mass sample in the roadway, measure the elastic modulus E, Poisson's ratio μ of the rock mass sample in the transverse isot...
Embodiment 2
[0070] Such as image 3 As shown, the difference between this implementation and Embodiment 1 is that when the roadway is a complex shape roadway, according to the displacement analysis formula
[0071]
[0072] Through the theory of uniqueness of displacement back analysis, it is proved that the in-situ stress of rock mass can be uniquely inverted through the displacement of rock mass in the roadway, and the expressions of in-situ stress p and q are obtained.
[0073] f 1 (z) to F 4 (z)(z=x+iy) is a complex variable function, their specific form depends on the shape of the roadway, r o [F j (z)] and I m [F j (z)] (j=1, 2, 3, 4) respectively represent the real part and the imaginary part of the corresponding complex variable function, θ is the order angle under the polar coordinate system, z=x+iy, point (x, y) Represents the coordinates of a point in the xoy plane, point (z, θ) represents the coordinates of a point in the polar coordinate system, u 1 and u 2 respect...
Embodiment 3
[0087] In the following, an example of inversion of in-situ stress in a circular roadway in a transversely isotropic rock mass is given by means of theoretical calculation and numerical simulation.
[0088] The radius of a roadway is a=2m, and the rock mass parameters are as follows: E=1Gpa, E′=0.8Gpa, μ=0.25, μ′=0.3. Pick two points (2, 0) and (2, 45), that is, let r 1 = 2m, θ 1 = 0°; r 2 = 2m, θ 2 =45°, the measured displacement values of these two points are u 1 = 5.89cm and u 2 =3.68cm, put them and rock mass parameters into the formulas (1) and (2), after unifying the measurement units, the calculated ground stress values are p=9.92Mpa, q=19.52Mpa.
[0089] Then use computer software FLAC3D to verify, the specific process is as follows: first adopt the numerical calculation software FLAC3D to establish a circular roadway model in a transversely isotropic rock mass, the specific parameters are as follows: roadway radius a=2m, rock mass parameters are as follows: E...
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