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地震勘探问题的一种新模型及其算法
引用本文:黄光远,傅国华,邱忠坊. 地震勘探问题的一种新模型及其算法[J]. 地球物理学报,1986,29(05): 503-510,
作者姓名:黄光远  傅国华  邱忠坊
作者单位:1.山东大学数学系,济南; 2.山东建工学院,济南
摘    要:本文针对地震勘探中对地层介质的识别问题,提出了一种新的数学模型:用双曲型方程Cauchy问题代替混合问题。得到一种逐层递推的快速反演算法,取得了较好的计算效果。

关 键 词:地震勘探   新模型   快速反演算法   黄光   逐层递推   声阻抗   双曲型方程   噪声   振源   逐段连续
收稿时间:1986-02-24
修稿时间:1986-04-28

A NEW MODEL IN SEISMIC PROSPECTING PROBLEMS AND ITS CALCULATION
HUANG GUANG-YUAN,FU GUO-HUA,QIU ZHONG-FANG. A NEW MODEL IN SEISMIC PROSPECTING PROBLEMS AND ITS CALCULATION[J]. Chinese Journal of Geophysics (in Chinese),1986,29(05): 503-510,
Authors:HUANG GUANG-YUAN  FU GUO-HUA  QIU ZHONG-FANG
Affiliation:1.Dept.of Math.,Shandong University,Jinan; 2.Inst.of Shandong Arch.Engn.,Jinan
Abstract:In this paper we take the Cauchy problem instead of the mixed problem of hyperbolic equation as a mathematical model of seismic exploration thatwhere σ(x) - acoustic impedance,Q*(t) - measured vibration data in (0,T),g(t) - density of explosive force downward. Q*(t) and g(t) are known. How to choose σ(x) such thatWhere U0 and D0 are two trigonal regions as shown in Fig. 1.From this model some new recurrence algorithms are given stratum by stratum which improve the computational efficiency extremely and give cosideration to filtering measurement noises. Two simulation examples provide strong confirmation.
Keywords:
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