阻尼加权最小二乘地震走时层析成象
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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．
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.
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.
引文
1宋林平．平方慢度射线追踪与非线性地震走时层析成象，成都理工学院学报，1994，21（1）：107～1132BregrnanNDetal．Crossholeseismictomography，Geophysics，54（2）：200～2153宋林平．非均匀介质中解析射线追踪，物化探计算技术，1993，15（3）：238～2444BerrymanJG．Fermat’sprincipleandnonlineartraveltlmetomography，PhysRevLett，1989，62（25）：2953～2956
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