扩展的近似解析离散化方法及弹性波方程数值模拟

发布时间：2018-02-28 05:37

  本文关键词： 扩展最优近似解析离散化 弹性波方程 数值模拟 稳定性条件 数值频散　出处：《石油地球物理勘探》2017年05期 　论文类型：期刊论文

【摘要】：地震波场数值模拟是研究地震波理论、偏移成像和地震反演等工作的基础,提高数值模拟的精度具有重要意义。在前人的研究基础上,提出了一种扩展的近似解析离散化数值模拟方法,并从理论上对该方法的精度、数值频散、稳定性和计算效率进行了分析。该方法在时间差分上比扩展前提高了一阶精度、误差最大降低了88%。与其他近似解析离散化类方法一样,具有算子半径小和适应粗网格步长的优势,在最小主波长内仅需使用5.9个网格点。与四阶Lax-Wendroff修正格式和交错网格有限差分格式的频散曲线和模拟结果对比,验证了该方法能更好地压制数值频散。二维各向同性均匀介质和水平层状介质模型数值模拟的地震弹性波场特征清晰准确,说明了该方法的实用性。
[Abstract]:Numerical simulation of seismic wave field is the basis of studying seismic wave theory, migration imaging and seismic inversion. It is of great significance to improve the accuracy of numerical simulation. An extended approximate analytical discretization numerical simulation method is proposed, and the accuracy, numerical dispersion, stability and computational efficiency of the method are analyzed theoretically. Like other approximate analytical discretization methods, it has the advantages of small operator radius and adapting to coarse mesh step size. Only 5.9 mesh points are used in the minimum main wavelength. Compared with the dispersion curves and simulation results of the fourth order Lax-Wendroff modified scheme and the staggered grid finite difference scheme, It is verified that this method can suppress numerical dispersion better. The seismic elastic wave field characteristics of two-dimensional isotropic homogeneous medium and horizontal layered media model are clear and accurate, which shows the practicability of the method.
【作者单位】： 长江大学地球物理与石油资源学院;油气资源与勘探技术教育部重点实验室(长江大学);东方地球物理公司国际勘探事业部;
【基金】：国家“973”计划项目(2013CB228605) 中国石油科技创新基金项目(2015D-5006-0301)联合资助
【分类号】：P631.4
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本文编号：1545982