The Newton method for solving a direct kinematic problem

被引：0

作者：

Goldin, SV ^{[1
]}

Chernyakov, VG ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Geophys, Novosibirsk 630090, Russia

来源：

GEOLOGIYA I GEOFIZIKA | 1998年 / 39卷 / 01期

关键词：

time field derivatives; two-point boundary problem; Newton method;

D O I：

暂无

中图分类号：

P [天文学、地球科学];

学科分类号：

07 ;

摘要：

The formulas for the second (two-point) compound derivative of the travel-time curve t "(x1x2) have been obtained for two-dimensional media with smooth interfaces of layers with constant velocity gradients. A calculation scheme is proposed For the three dimensional case. Analysis of the calculation complexity has been carried out, and two ways of solving a two-point boundary problem of ray tracing are compared: adjustment and variational methods, which both use the Newton method of determination of nonlinear-equation roots and of function minimization. It is shown that the adjustment method gives much more information and is more efficient as compared with the variational method.

引用

页码：103 / 114

页数：12