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研究井间地震波场的形成过程以及波场的传播机理、规律,对于指导实际井间地震勘探有着重要的意义.从具有倾斜对称轴的横向各向同性介质(TTI)的二维三分量一阶速度-应力弹性波方程出发,采用高阶紧致交错网格差分算子对方程进行差分离散,得到了TTI介质中井间地震波场正演的高阶有限差分格式.并推导了TTI介质完全匹配层吸收边界条件公式和相应的紧致交错网格高阶差分格式,在此基础上实现了二维三分量TTI介质中井间地震波场模拟.数值算例表明:紧致交错网格高阶有限差分方法模拟的记录精度高,数值频散小,该方法能够精确的模拟复杂各向异性介质中的地震波传播过程,可以得到高精度的正演记录.完全匹配层吸收边界能有效地解决人工边界问题,是一种高效的边界吸收算法.
To study the formation process of the crosswell seismic wave field and the propagation mechanism and law of the wave field is of great significance for guiding the actual cross-well seismic exploration.From the two-dimensional three-component first order of the transversely isotropic medium (TTI) Based on the velocity-stress elastic wave equation, the high-order compact staggered grid differential operator is used to discretize the equations, and the high-order finite difference scheme for forward seismic crosswell wave propagation in TTI media is obtained. The TTI medium perfect matching layer Absorbing boundary condition formula and the corresponding compact staggered grid high-order difference scheme, and based on this, the simulation of the cross-well seismic wave field in two-dimensional three-component TTI media is carried out. Numerical examples show that the compact staggered grid higher order finite difference method This method can accurately simulate the seismic wave propagation process in complex anisotropic media and get a high-precision forward record.The perfect matching layer absorption boundary can effectively solve the artificial boundary problem, Is an efficient boundary absorption algorithm.