计算物理 ›› 1995, Vol. 12 ›› Issue (4): 499-504.

• 论文 • 上一篇    下一篇

阻尼加权最小二乘地震走时层析成象

宋林平   

  1. 四川联合大学水利工程系, 成都 610065
  • 收稿日期:1994-04-14 修回日期:1995-02-24 出版日期:1995-12-25 发布日期:1995-12-25
  • 基金资助:
    国家自然科学基金;中国长江三峡工程开发总公司联合资助

DAMPED AND WEIGHTED LEAST-SQUARE SOLUTION FOR SEISMIC TRAVELTIME TOMOGRAPHY

Song Linping   

  1. Dept of Hydraulic Eng, Sichuan Union University 610065
  • Received:1994-04-14 Revised:1995-02-24 Online:1995-12-25 Published:1995-12-25

摘要: 重建地下速度分布是一个非线性问题。采用平方慢度分布函数来快速、有效完成地震射线追踪。以一阶B样条将模型参数化,保证了线性化问题中系数矩阵的非负性。考虑射线几何分布的先验信息,给出一个阻尼加权最小二乘算法,并进行了数值计算。

关键词: 层析成象, 最小二乘解

Abstract: The reconstruction of seismic wave-speed distribution is nonlinear. Seismic ray path is calculated by using a model of the square of slowness. A parameterization of the model based on first order B-splines provides nonnegative matrix of the linear systems. In order to improve the solution stability, a damped, and weighted least-square procedure is proposed for considering the priori information of ray distribution. It gives numerical modelling examples as well.

Key words: tomography, least-square solution

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