摘要
地震波场数值模拟是研究地球介质中地震波传播规律的重要手段,对油气田的勘探开发研究有着重要的意义。有限差分法以其速度快、精度高,适用范围广等优点,被广泛地应用于数值模拟研究中。以波动方程和Taylor级数展开公式为基础,系统的推导了时间域2阶、空间域2N阶精度的有限差分方程。同时进行了稳定性、频散现象和边界条件分析。通过建立地质模型,实现了波动方程有限差分算法的数值模拟,模拟声波在均匀介质和层状介质中的传播。通过综合研究,认为交错网格有限差分法具有高效、精确、实用的特点,能够精确地模拟地震波在介质中的传播过程,为更深入研究复杂勘探目标中地震波传播机理提供理论基础。
Numerical simulation of seismic wave field is an important way to study the law of seismic wave propagation in the earth 's medium. It is of great significance to the exploration and development of oil and gas fields. Finite difference method is widely used in numerical simulation because of its advantages of fast speed,high precision and wide range of application. Based on wave equation and Taylor series expansion formula,this paper derives the finite difference equation of 2N order in time domain and 2N order in space domain. At the same time,stability,dispersion and boundary conditions were analyzed. Through the establishment of the geological model,the thesis realizes the numerical simulation of finite difference algorithm of wave equation. It simulates the propagation of the acoustic wave in the homogeneous medium and the layered medium. Through the comprehensive study,the dissertation considers that the staggered grid finite difference method is efficient,accurate and practical. It can accurately simulate the propagation process of seismic waves in the medium to provide a theoretical basis for further study on the seismic wave propagation mechanism in complex exploration targets.
出处
《中国锰业》
2018年第1期160-166,共7页
China Manganese Industry
基金
国家重大专项(2013E-3809)
关键词
数值模拟
声波方程
交错网格
有限差分
Numerical simulation
Acoustic equation
Staggered grid
Finite difference
