Traveltime parameters in tilted transversely isotropic media

作者: Pavel Golikov , Alexey Stovas

DOI: 10.1190/GEO2011-0457.1

关键词: Model parametersTransverse isotropyOffset (computer science)Approximate equationMathematical analysisExact differential equationGeologyEconometricsHomogeneousTaylor seriesAnisotropy

摘要: ABSTRACTTraveltime parameters define the coefficients of Taylor series for traveltime or squared as a function offset. These provide an efficient tool analyzing effect medium short- and long-offset reflection moveouts. We derive exact equations one-way two-way in homogeneous transversely isotropic with tilted symmetry axis (TTI). It is shown that most TTI differ from parameters, we observe strong dependence all on tilt. The are extended to vertically heterogeneous medium, weak-anisotropy weak-anellipticity approximations considered. also apply approximate invert into model different acquisition setups. Using approximation, our tests show ...

参考文章(28)
Tariq Alkhalifah, Ilya Tsvankin, Velocity analysis for transversely isotropic media Geophysics. ,vol. 60, pp. 1550- 1566 ,(1995) , 10.1190/1.1443888
Pavel Golikov, Alexey Stovas, Traveltime parameters in a tilted elliptical anisotropic medium Geophysical Prospecting. ,vol. 60, pp. 433- 443 ,(2012) , 10.1111/J.1365-2478.2011.01003.X
Abdulfattah Al‐Dajani, Tariq Alkhalifah, Reflection moveout inversion for horizontal transverse isotropy: Accuracy, limitation, and acquisition Geophysics. ,vol. 65, pp. 222- 231 ,(2000) , 10.1190/1.1444713
Tariq Alkhalifah, The offset-midpoint traveltime pyramid in transversely isotropic media Geophysics. ,vol. 65, pp. 1316- 1325 ,(2000) , 10.1190/1.1444823
Andres Pech, Ilya Tsvankin, Vladimir Grechka, Quartic moveout coefficient: 3D description and application to tilted TI media Geophysics. ,vol. 68, pp. 1600- 1610 ,(2003) , 10.1190/1.1620634
A. Stovas, T. Alkhalifah, The TTI Slowness Surface Approximation Seg Technical Program Expanded Abstracts. ,(2011) , 10.1190/1.3627651
Vladimir Grechka, Andres Pech, Ilya Tsvankin, Multicomponent stacking-velocity tomography for transversely isotropic media Geophysics. ,vol. 67, pp. 1564- 1574 ,(2002) , 10.1190/1.1512802