波动方程非规则网格任意阶精度差分法正演

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英文篇名：Differential forward modeling of wave equation having irregular grid and any-order precision 中文刊名：石油地球物理勘探 英文刊名：Oil Geophysical Prospecting 作者：朱生旺 ; 魏修成 英文作者：Zhu Sheng-wang and Wei Xiu-cheng.Petroleum Exploration & Development Institute ; Nanyang Oilfield ; Nanyang City ; Henan Province ; 473132 中文关键词：波动方程 ; 地震数值模拟 ; 正演 ; 网格 ; 离散 ; 有限差分 ; 频散 英文关键词：wave equation ; seismic numeric model-ing ; forward ; grid ; discrete ; finite difference ; dispersion 出版日期：2005-04-15 机构：石油大学,石油大学 北京,河南省南阳油田石油勘探开发研究院,473132 ,北京 年：2005 期：02 出版单位：石油地球物理勘探

摘要

在波动方程正演中通常采用有限差分算法,而有限差分的计算精度又取决于所用离散网格类型及差分阶数。采用规则网格进行离散,对于倾斜界面无法避免绕射噪声,若加密网格又过度增加工作量。为此,本文提出一种非规则网格任意阶精度差分正演方法,在不增加太多计算量的前提下,达到了基本消除离散绕射噪声,提高正演精度的目的。通过两个模型试算,特别是在有倾角的反射界面处,较好地克服了由于数值离散带来的离散绕射噪声问题,为提高复杂地质模型的正演精度提供了一种实用有效的方法
The finite differencl algorithm is usually used in forward modeling of wave equation,and its calculating precision depends on used discrete grid and differential order.Using regular grid for discretization results in diffraction noise for dip interface,and infilling grid may increase the computing efforts.For that reason,the paper presented a differential forward modeling method by using irregular grid and having any order precision,which can basically eliminate discrete diffraction noise and improve forward modeling precision in a precondition of slightly increasing computing efforts.The tests of two models showed that the method can better overcome discrete diffraction noise resulted from numeric discretization on dip interface and is an effective and practical method for increasing forward modeling precision in complicated geological model.

引文

[1]　克莱鲍特著,许云译.地震成像理论及方法.北京:石油工业出版社,1991
    [2]　刘洋.任意偶阶精度的有限差分法数值模拟.石油地球物理勘探,1998,33(1):1～10
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    [4]　王润秋等.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,2003,38(3):252～257