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本文把煤储层当成黏弹性VTI介质进行波场数值模拟,更加真实的还原了地震波在煤层中的传播过程。有限差分方法是波场数值模拟的一个重要方法,由于时间域有限差分计算方法累积误差太大,而频率空间域更易于模拟黏弹各向异性介质的衰减,并且频率域计算是按频率片对空间网格进行整体求解方程组,各个频率片之间是独立运算的,不存在累计误差。本文采用25点优化差分算法,克服了常规算法带来的数值频散问题,较好的得到了地震波在煤储层中传播的波场快照。
In this paper, the coal reservoir is treated as a viscoelastic VTI medium for numerical simulation of the wave field, which realistically reduces the propagation of seismic waves in the coal seam. The finite difference method is an important method in numerical simulation of wave field. Since the cumulative error of finite difference method in time domain is too large, the attenuation of viscoelastic anisotropic medium is easier to be simulated in frequency domain and the frequency domain is calculated by frequency slice pair Space grid to solve the system as a whole, all the frequency between the films are independent operations, there is no cumulative error. In this paper, a 25-point optimization difference algorithm is used to overcome the numerical dispersion problem brought by the conventional algorithm. The snapshot of the wave field propagating in the coal reservoir is well obtained.