Second-order and higher-order perturbations of travel time in isotropic and anisotropic media

被引：0
|
作者：
Klimes, L [1 ]
机构：
[1] Charles Univ Prague, Dept Geophys, Prague, Czech Republic
来源：
STUDIA GEOPHYSICA ET GEODAETICA | 2002年 / 46卷 / 02期
关键词：
ray theory; travel time (action function); Hamilton-Jacobi equation; paraxial approximation; perturbation methods; inhomogeneous media; seismic anisotropy;
D O I：
暂无
中图分类号：
P3 [地球物理学]; P59 [地球化学];
学科分类号：
0708 ; 070902 ;
摘要：
The partial derivatives of travel time with respect to model parameters are referred to as perturbations. Explicit equations for the second-order and higher-order perturbations of travel time in both isotropic and anisotropic media are derived. The perturbations of travel time and its spatial derivatives can be calculated by simple numerical quadratures along rays.
引用
收藏
页码：213 / 248
页数：36
相关论文
共 50 条
  • [1] Second-Order and Higher-Order Perturbations of Travel Time in Isotropic and Anisotropic Media
    Luděk Klimeš
    Studia Geophysica et Geodaetica, 2002, 46 (2) : 213 - 248
  • [2] Transformation relations for second-order derivatives of travel time in anisotropic media
    Cerveny, Vlastislav
    Klimes, Ludek
    STUDIA GEOPHYSICA ET GEODAETICA, 2010, 54 (02) : 257 - 267
  • [3] Transformation relations for second-order derivatives of travel time in anisotropic media
    Vlastislav Červený
    Luděk Klimeš
    Studia Geophysica et Geodaetica, 2010, 54 : 257 - 267
  • [4] Statistical moments of travel times at second order in isotropic and anisotropic random media
    Iooss, B
    Blanc-Benon, P
    Lhuillier, C
    WAVES IN RANDOM MEDIA, 2000, 10 (03): : 381 - 394
  • [5] Second- and higher-order perturbations of a spherical spacetime
    Brizuela, David
    Martin-Garcia, Jose M.
    Mena Marugan, Guillermo A.
    PHYSICAL REVIEW D, 2006, 74 (04):
  • [6] ORDER REDUCTION, PROJECTABILITY AND CONSTRAINTS OF SECOND-ORDER FIELD THEORIES AND HIGHER-ORDER MECHANICS
    Gaset, Jordi
    Roman-Roy, Narcis
    REPORTS ON MATHEMATICAL PHYSICS, 2016, 78 (03) : 327 - 337
  • [7] HIGHER-ORDER EIGENPAIR PERTURBATIONS
    ELDRED, MS
    LERNER, PB
    ANDERSON, WJ
    AIAA JOURNAL, 1992, 30 (07) : 1870 - 1876
  • [8] Higher-order fundamental solutions of second-order wave equations on a curved spacetime
    Laas, T
    Mankin, R
    Tammelo, R
    CLASSICAL AND QUANTUM GRAVITY, 1998, 15 (06) : 1595 - 1605
  • [9] Higher-order gradient post-processings for second-order elliptic problems
    Loula, AFD
    Rochinha, FA
    Murad, MA
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1995, 128 (3-4) : 361 - 381
  • [10] A Class of Second-Order Cone Eigenvalue Complementarity Problems for Higher-Order Tensors
    Hou J.-J.
    Ling C.
    He H.-J.
    He, Hong-Jin (hehjmath@hdu.edu.cn), 1600, Springer Science and Business Media Deutschland GmbH (05): : 45 - 64
12345