粘弹性介质中跨孔波场的交错网格有限差分法正演模拟

FORWARD SIMULATING THE CROSSWELL SEISMIC WAVEFIELD OF VISCOELASTICITY MEDIUM WITH FINITE DIFFERENCE METHOD OF STAGGERED GRID

井间地震正演模拟技术是研究地震波在井间传播规律的重要手段之一,可以帮助认识井间地震的复杂波场。从二维井间地震波传播波动方程出发,结合初始、边界条件,推导出了交错网格任意偶阶精度差分格式,阐述了非均匀差分网格的实现方法。在此基础上,编制了跨孔波场交错网格有限差分正演程序,并应用该程序对半空间粘弹性跨孔模型进行了正演计算,得到了震源在不同位置时的波场快照及地震记录图。这对于跨孔模型波传播规律的研究,具有重要意义。

Forward simulating the crosswell seismic wave is one of important techniques that facilitate studying seismic wave propagation and identifying complex wavefield. Setting out from the two dimension crosswell seismic wave equation and combining the initial and boundary condition, the pair order accuracy difference scheme of random staggered grid was deduced and the realization method of non uniform difference grids was elaborated. On the basis of this, the finite difference forward simulation program of crosswell seismic wave equation was compiled. Tthe wavefield snapshot and earthquake record map of the seismic focus at difference position are simulated for a half space viscoelasticity crosswell model. with the program, which is of far reaching importance to the disciplinary of wave propagation for crosswell model.