Two-point paraxial traveltimes in an inhomogeneous anisotropic medium

0381448 - GFÚ 2013 RIV GB eng J - Článek v odborném periodiku
Červený, V. - Iversen, E. - Pšenčík, Ivan
Two-point paraxial traveltimes in an inhomogeneous anisotropic medium.
Geophysical Journal International. Roč. 189, č. 3 (2012), s. 1597-1610. ISSN 0956-540X. E-ISSN 1365-246X
Grant CEP: GA ČR(CZ) GAP210/11/0117
Výzkumný záměr: CEZ:AV0Z30120515
Klíčová slova: body waves * seismic anisotropy * theoretical seismology * wave propagation
Kód oboru RIV: DC - Seismologie, vulkanologie a struktura Země
Impakt faktor: 2.853, rok: 2012

We derive formulae for the approximate computation of two-point paraxial traveltimes (traveltimes between two points) for points arbitrarily chosen in a paraxial vicinity of a reference ray computed in a smoothly varying inhomogeneous anisotropic medium containing structural interfaces. The formulae have a form of the Taylor expansion in Cartesian coordinates of the two-point paraxial traveltime or its square to the quadratic terms. The coefficients of the expansion depend on quantities obtained by ray tracing in Cartesian coordinates and by dynamic ray tracing in ray-centred coordinates. Alternatively, the dynamic ray tracing can be performed in Cartesian coordinates. The advantages of the approach based on dynamic ray tracing in raycentred coordinates are its efficiency and elimination of possible complications that may arise from the redundant fundamental solutions of dynamic ray tracing in Cartesian coordinates (the ray-tangent and non-eikonal solutions).
Trvalý link: http://hdl.handle.net/11104/0211914