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2n阶有限差分的计算与复杂介质波场数值模拟 被引量:2

2n Finite Differential Calculation and Numerical Simulation of Complex Medium Wave Field
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摘要 在油气勘探、工程探测等领域中,各向同性介质的背景上,因存在裂隙而形成散射作用,使接受的波场复杂化。数值模拟是了解地震波场特征的重要手段。给出了一种2n阶有限差分的计算方法;以声波方程为基础,给定了地层裂隙介质的物理模型,分别使用低阶和高阶有限差分,模拟了P波地面地震记录,并分析了地震波场特征。结果表明,高阶差分算法的精度明显高于低阶差分算法。 In the fields of oil and gas exploration and engineering detection, and on the background of isotropic medium, there exists a fracture, by which a scattering effect is formed and received wave field is complicated. Numerical simulation is an important means of recognizing the character of wave field of earthquake. A method for 2n order finite difference calculation is provided; a physical model is established for calculating fracture media on the basis of acoustic equations. Low and high order differences are used respectively to simulate P wave surface seismogram and analyze the wave field characters, of which its accurate of wave field simulation and the accurate of high order difference algorithm are obviously higher than that of the low order algorithm.
作者 桂志先
出处 《石油天然气学报》 CAS CSCD 北大核心 2005年第3期334-337,共4页 Journal of Oil and Gas Technology
基金 自然科学基金项目(2004AB074) 湖北省教育厅计划项目(2004D005)。
关键词 裂隙介质 地震波场 有限差分 数值模拟 fracture medium seismic wave field finite difference numerical simulation
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