Inversion technique and engineering application of elastic matrix coefficients for anisotropic rock mass
LIU Xiaoping1，2，3
(1. Institute of Geotechnical Engineering，Xi'an University of Technology，Xi'an，Shaanxi 710048，China；
2. Xi'an Research Institute，China Coal Technology and Engineering Group，Xi'an，Shaanxi 710077，China；
3. China Coal Science and Technology Ecological Environment Technology Co.，Ltd.，Beijing 100013，China)
Abstract：There are seldom inverse researches of 21 elastic matrix coefficients of anisotropic rock mass at home and abroad. In this paper，the Walkaway VSP observation system for fine exploration of mine rock mass is designed by using the rock mass in-situ testing technology of “three-dimensional three component data acquisition of VSP excited by shear wave vibrator”. By using the formulas for calculating the slowness and polarization vectors of qP and qS waves based on the solution of Christoffel equation in anisotropic media，and taking the wave field parameters(slowness and polarization vectors) of qP and qS waves collected in situ as input conditions，the 21 coefficients of the elastic matrix of rock mass under the condition of complete anisotropy are obtained based on the combination of vertical and horizontal waves. Using the elastic matrix coefficients，the “three zones” anisotropy of the overlying rock is identified as HTI medium attribute，and the anisotropy parameters and engineering mechanical parameters of rock masses at different depths are calculated. The relationships between the “three zones” of overburden with the anisotropy parameters and the engineering mechanical parameters are analyzed. The results of this study make the forward calculation of rock mechanics and exploration seismology no longer depend on the assumption of the type of anisotropy of the target medium，and open up a new direction for the study of rock engineering mechanical properties.
刘小平1，2，3. 各向异性岩体弹性矩阵系数反演分析与应用[J]. 岩石力学与工程学报, 2021, 40(9): 1826-1838.
LIU Xiaoping1，2，3. Inversion technique and engineering application of elastic matrix coefficients for anisotropic rock mass. , 2021, 40(9): 1826-1838.
ZHENG X. Inversion for elastic parameters in weakly anisotropic media[J]. Geophysical Journal International，2004，159：1 077-1 089.
[3]
石玉梅，谢 韬. 地下固体介质弹性模量反演[J]. 地球物理学报，2017，60(12)：4 753-4 765.(SHI Yumei，XIE Tao. Inversion of elastic modulus of underground solid medium[J]. Chinese Journal of Geophysics，2017，60(12)：4 753-4 765.(in Chinese))
[2]
巴振宁，吴孟桃，梁建文. 坡体几何参数与弹性模量对岩质斜坡地震动力响应的影响：IBEM求解[J]. 岩石力学与工程学报，2019，38(8)：1 578-1 592.(BA Zhenning，WU Mengtao，LIANG Jianwen. Influence of geometric parameters and elastic modulus on seismic dynamic response of rock slopes by IBEM[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(8)：1 578-1 592.(in Chinese))
[4]
MA Q Q，SUN Z E. Elastic modulus extraction based on generalized pre-stack PP-PS wave joint linear inversion[J]. Applied Geophysics，2018，15(3/4)：466-480.
[6]
崔 臻，盛 谦，陈平志，等. 地震作用下岩石动态力学参数估算方法探讨[J]. 岩石力学与工程学报，2019，38(8)：1 523-1 532.(CUI Zhen，SHENG Qian，CHEN Pingzhi，et al. A discussion on estimating dynamic mechanical parameters of rocks considering earthquake actions[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(8)：1 523-1 532.(in Chinese))
[12]
FARRA V. High order perturbations of the phase velocity and polarization of qP and qS waves in anisotropic media[J]. Geophysical Journal International，2001，147：93-104.
刘永华，朱光明. 用一种震源设备实现多波VSP观测的可能性[J]. 石油物探，1996，35(2)：55-67.(LIU Yonghua，ZHU Guangming. The possibility of multiwave VSP exploration with one kind of source[J]. Geophysical Prospecting for Petroleum，1996，35(2)：55-67.(in Chinese))
[1]
张占荣，杨艳霜，赵新益，等. 岩体变形参数确定的经验方法研究[J]. 岩石力学与工程学报，2016，35(增1)：3 195-3 202.(ZHANG Zhanrong，YANG Yanshuang，ZHAO Xinyi，et al. Empirical methods to determine the rock masses parameters[J]. Chinese Journal of Rock Mechanics and Engineering，2016，35(Supp.1)：3 195-3 202.(in Chinese))
[8]
陆基孟. 地震勘探原理(下册)[M]. 东营：中国石油大学出版社，1993：123-127.(LU Jimeng，ed. principles of seismic exploration (Volume 2)[M]. Dongying：China University of Petroleum Press，1993：123-127.(in Chinese))
[9]
JECH J，PŠEN?IK I. First-order perturbation method for anisotropic media[J]. Geophysical Journal International，1989，99：369-376.
[11]
ZHENG X，P PSENCIK I. Local determination of weak anisotropy parameters from qP-wave slowness and particle motion measurements[J]. Pure Appli Geophys，2002，159：1 881-1 905.
[13]
樊蔚勋，吴剑国. 弹性各向异性体力学及其应用[M]. 南京：江苏科学技术出版社，1994：10-18.(FAN Weixun，WU Jianguo. Elastic anisotropic mechanics and its applications[M]. Nanjing：Jiangsu Science and Technology Press，1994：10-18.(in Chinese))
[5]
付博烨，符力耘，曹呈浩，等. 基于固体替换模型的有机质含量对页岩弹性性质的影响分析[J]. 地球物理学报，2020，63(7)： 2 823-2 835.(FU Boye，FU Liyun，CAO Chenghao，et al. The analysis of the influence of organic content on the elastic properties of shale based on solid substitution model[J]. Chinese Journal of Geophysics，2020，63(7)：2 823-2 835.(in Chinese))
[7]
哈德森，哈里森. 工程岩石力学(上卷)：原理导论[M]. 冯夏庭译. 北京：科学出版社，2009：60-63.(HUDSON J A，HARRISON J P. Engineering rock mechanics(Volume 1)：An introduction to the principles[M]. Translated by FENG Xiating. Beijing：Science Press，2019：60-63.(in Chinese))
[15]
宋玉龙. 三维VSP地震勘探技术[M]. 北京：石油工业出版社，2005：4-6.(SONG Yulong. 3D VSP seismic exploration technology[M]. Beijing：Petroleum Industry Press，2005：4-6.(in Chinese))
[17]
刘小平，陈占国，刘永华，等. 基于慢度矢量与偏振矢量的采动裂隙岩体各向异性研究[J]. 岩石力学与工程学报，2020，39(增2)： 3 348-3 358.(LIU Xiaoping，CHEN Zhanguo，LIU Yonghua，et al. Anisotropy research of excavated fractured rock mass based on slowness vector and polarization vector[J]. Chinese Journal of Rock Mechanics and Engineering，2020，39(Supp.2)：3 348-3 358.(in Chinese))
[18]
杜世通. 地震波动力学理论与方法[M]. 北京：中石油大学出版社，2008：20-21.(DU Shitong. Theory and method of seismic wave dynamics[M]. Beijing：China University of Petroleum Press，2008：20-21.(in Chinese))
2021, Vol. 40 
