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Traveltime parameters in a tilted elliptical anisotropic medium ‡
Author(s) -
Golikov Pavel,
Stovas Alexey
Publication year - 2012
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.2011.01003.x
Subject(s) - isotropy , inversion (geology) , anisotropy , transverse plane , transverse isotropy , a priori and a posteriori , homogeneous , geology , normal moveout , physics , reflection (computer programming) , optics , geometry , mathematical analysis , seismology , mathematics , statistical physics , philosophy , programming language , structural engineering , engineering , epistemology , computer science , tectonics
ABSTRACT In this paper, we derive analytical expressions for one‐way and two‐way kinematical parameters in elliptical tilted transverse isotropy media. We show that the homogeneous elliptical tilted transverse isotropy models result in hyperbolic moveout with a reflection point sideslip x 0 , which can be considered as an additional traveltime parameter for one‐way wave propagation. For homogeneous elliptical tilted transverse isotropy models we show that the inversion of one‐way traveltime parameters suffers from the ambiguity for large tilts. It is shown that the accuracy of the inversion is sensitive to the error in x 0 . We also derive and invert the traveltime parameters for a vertically heterogeneous elliptical tilted transverse isotropy model with a tilt gradually changing with depth. The a priori knowledge of parameter δ is very important for inversion. The wrong choise of this parameter results in significant errors in inverted model parameters.