Academic Journal

Transformation of spatial and perturbation derivatives of travel time at a curved interface between two arbitrary media

التفاصيل البيبلوغرافية
العنوان: Transformation of spatial and perturbation derivatives of travel time at a curved interface between two arbitrary media
المؤلفون: Klimeš, Luděk
المصدر: Studia Geophysica et Geodaetica ; volume 60, issue 3, page 451-470 ; ISSN 0039-3169 1573-1626
بيانات النشر: Springer Science and Business Media LLC
سنة النشر: 2016
الوصف: We consider the partial derivatives of travel time with respect to both spatial coordinates and perturbation parameters. These derivatives are very important in studying wave propagation and have already found various applications in smooth media without interfaces. In order to extend the applications to media composed of layers and blocks, we derive the explicit equations for transforming these travel–time derivatives of arbitrary orders at a general smooth curved interface between two arbitrary media. The equations are applicable to both real–valued and complex–valued travel time. The equations are expressed in terms of a general Hamiltonian function and are applicable to the transformation of travel–time derivatives in both isotropic and anisotropic media. The interface is specified by an implicit equation. No local coordinates are needed for the transformation.
نوع الوثيقة: article in journal/newspaper
اللغة: English
DOI: 10.1007/s11200-015-0479-8
DOI: 10.1007/s11200-015-0479-8.pdf
DOI: 10.1007/s11200-015-0479-8/fulltext.html
الاتاحة: http://dx.doi.org/10.1007/s11200-015-0479-8
https://link.springer.com/content/pdf/10.1007/s11200-015-0479-8.pdf
https://link.springer.com/article/10.1007/s11200-015-0479-8/fulltext.html
http://link.springer.com/content/pdf/10.1007/s11200-015-0479-8
Rights: https://creativecommons.org/licenses/by/4.0/ ; https://creativecommons.org/licenses/by/4.0/
رقم الانضمام: edsbas.8DE23B3E
قاعدة البيانات: BASE
الوصف
DOI:10.1007/s11200-015-0479-8