石油地球物理勘探2025，Vol.60Issue(2)：391-400,10.DOI:10.13810/j.cnki.issn.1000-7210.20240143
基于PML-IGVL边界条件的黏滞声波方程数值模拟
Numerical simulation of viscous acoustic wave equation based on PML-IGVL boundary condition
摘要
Abstract
In seismic exploration,forward modeling of the wave equation is constrained by computational and storage capabilities,which limits simulations to finite spatial domains and thereby necessitates the implementa-tion of boundary conditions.The perfectly matched layer(PML)is a widely applied boundary condition that re-quires a specific number of layers.However,excessive layer thickness can reduce forward modeling efficiency and increase memory usage.In this study,a novel boundary condition,PML-IGVL,is proposed by integrating PML with an improved gradient viscoelastic layer(IGVL).To minimize truncation errors and numerical disper-sion,the PML-IGVL boundary condition is incorporated into the viscous acoustic wave equation for numerical simulations with the use of compact staggered grid.Numerical results of wavefield simulations in homogeneous media and the Marmousi model demonstrate that compared to the PML boundary condition,the PML-IGVL boundary condition requires thinner boundary layers,achieves better absorption of reflected waves under the same small number of boundary layers,reduces memory consumption,and enhances forward modeling effi-ciency.These findings validate the effectiveness and superiority of the PML-IGVL boundary condition,pro-ving it to be an efficient boundary absorption method in forward modeling.关键词
紧致交错有限差分/黏滞声波方程/数值模拟/PML边界条件/改进梯度黏弹边界/PML-IGVL边界条件Key words
compact staggered finite difference/viscous acoustic wave equation/numerical simulation/PML boundary condition/improved gradient viscoelastic layer/PML-IGVL boundary condition分类
地质学引用本文复制引用
陈志立,汪勇,桂志先,何幼娟,羊丹,年泽润..基于PML-IGVL边界条件的黏滞声波方程数值模拟[J].石油地球物理勘探,2025,60(2):391-400,10.基金项目
本项研究受国家自然科学基金项目"基于极性修正波形叠加的井中压裂监测微地震事件相对偏移定位方法"(42204125)、中国石化地球物理重点实验室开放研究基金项目"时空高阶精度紧致有限差分地震波场数值模拟及逆时偏移"(36750000-24-FW0399-0004)联合资助. （42204125）
