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王润秋 ,耿伟峰 ,王尚旭 .地震波正演模拟的任意差分精细积分方法 .石油地球物理勘探 ,2 0 0 3,38(3) :2 5 2～2 5 7 本文对钟万勰提出的抛物线方程单点子域积分法和强士中提出的温度场问题的任意差分法进行了改进 ,提出了波动方程任意差分精细积分解法 ,从理论上推导了任意差分精细积分公式并给出了其实现途径 ,对任意差分精细积分方法的空间与时间精度和差分格式的稳定性做了理论探讨 ,并进行了验证。理论分析和实际例证都表明本文方法精度较高。地震波正演模拟算例则表明本文方法适用于复杂地表和复杂构造地质体。
Wang Runqiu, Geng Weifeng, Wang Shangxu.An Arbitrary Difference Precise Integration Method for Simulating Seismic Waves.Petroleum Geophysical Prospecting, 200 0, 338 (3): 2 5 2 ~ 2 5 7 In this paper, we present a single-point subdomain integral of a parabolic equation proposed by Zhong Wan- In this paper, an arbitrary difference method for the temperature field problem proposed in the paper is improved. An arbitrary difference precise integral solution method for the wave equation is proposed. An arbitrary difference precise integral formula is derived theoretically and its implementation is given. For any difference fine The integral method of space and time accuracy and the stability of the differential format are theoretically discussed and verified. Both theoretical analysis and practical examples show that the proposed method is more accurate. The numerical simulation of seismic forward modeling shows that the proposed method is suitable for complex surface and complex geological structures.