气煤孔隙度与Thomsen各向异性参数高阶交错网格数值模拟  

NUMERICAL SIMULATION WITH STAGGERED DRID HIGH-ORDER DIFFERENCE METHOD FOR POROSITY AND THOMSEN ANISOTROPIC COEFFICIENTS OF GAS COAL

作　　者：李东会[1] 董守华[1] 赵小翠[1] 鲁磊[2] 张聪[3] 李淑杰[4] 

机构地区：[1]中国矿业大学资源与地球科学学院,江苏徐州221008 [2]中国矿业大学安全工程学院,江苏徐州221008 [3]华北油田煤层气分公司,山西晋城048000 [4]长春理工大学经济管理学院,吉林长春130022

出　　处：《物探与化探》2011年第6期855-859,共5页Geophysical and Geochemical Exploration

基　　金：国家重点基础研究发展计划(973)项目(2009CB219603);国家科技重大专项目(2008ZX05035-005-003)

摘　　要：对气煤煤样孔隙率测试的基础上,讨论了各向异性系数与孔隙率的关系,表明各向异性的大小与孔隙率之间有一定的关系。应用高阶交错网格差分算法,对一阶速度-应力弹性波方程进行模拟,分析了其稳定性和边界条件。通过对Thomsen各向异性参数的模拟表明,主要控制的是P波的各向异性强弱,δ主要控制水平垂直正交方向上的各向异性强弱。对煤田各向异性研究具有重要意义。The porosity of gas coal samples was tested.On such a basis,this paper deals with the relationship between the elastic anisotropic coefficients and the porosity of the gas coal samples,and the result shows that the value of anisotropic coefficient is to a certain extent related to porosity.This paper simulates the one-order stress-velocity equation with the staggered grid high-order difference method,and analyses the stability and boundary conditions.The simulations of Thomsen show that,in the wave simulation with the staggered-grid high-order difference method,ε denotes the anisotropic degree of of P-wave,and δ is the changing degree of transverse and vertical anisotropy of P-wave.The result is of important significance for studying the anisotropy of a coal field.

关 键 词：各向异性 有限差分 正演 孔隙度 

分 类 号：P631.4[天文地球—地质矿产勘探]