Kinematic migration for determination of velocity model of the medium while solving practical problems of seismic exploration
Keywords:seismic exploration, reflected and refracted waves, kinematic migration, velocity model, temporal field, finite-differential continuation, eikonal equation
Seismic migration allows solving different problems of seismic exploration and depending on the properties of the wave field which take part during the processing is subdivided into two types: kinematic and dynamic. Kinematic migration allows to determine seismic velocities and interfaces in geological medium for further implementation of dynamic migration can be enabled while solving different problems of seismic exploration where fast information on a priori parameters of velocity model of the study medium is needed. Kinematic migration for both fields of refracted and reflected waves is based on the continuation of temporal field which is implemented by finite-differential solution of eikonal equation. The values of temporal field are determined by distinct scheme which has quadratic degree of approximation and conditional stability that is proved during the studies. In this case the algorithm of kinematic migration of the field of refracted waves envisages two reverse continuations of temporal fields observed from two opposite sources while algorithm of kinematic migration of the field of reflected waves includes both direct continuation of temporal field from dotted source and reverse continuation from seismic receivers. Particularly urgent problem in this direction is the study of feasibility of finite-differential kinematic migration in case of determination of velocity model of multiple-structured geological medium while processing seismic data observed in different range of distances from the source. Possibilities of application of elaborated finite-differential kinematic migration for solving practical problems of seismic exploration have been considered in the paper. Effectiveness of elaborated techniques is demonstrated by model and real examples.
Verpakhovskaya, A. O. (2014). Kinematic migration of the field of refracted waves while the image of environment is being formed according to DSS data. Geofizicheskiy zhurnal, 36(6), 153―164. https://doi.org/10.24028/gzh.0203-3100.v36i6.2014.111054 (in Russian).
Verpakhovskaya, A. O., & Shimansky, V. Yu. (2005). Investigation of a zone of low velocities by processing point soundings using the numerical method of time fields. Geofizicheskiy zhurnal, 27(5), 895―901 (in Russian).
Godunov, S. K., & Ryabenkiy, V. S. (1977). Difference Schemes. Moscow: Nauka (in Russian).
Grad, M., Guterh, A., Keller, R., Omelchenko, V. D., Starostenko, V. I., Stifenson, R. A., … Tolkunov, A. P. (2006). Work by the method of deep seismic sounding by profile DOBRE. In A. F. Morozova, N. F. Mezhelovsky, & N. I. Pavlenkova (Eds.), The structure and dynamics of the lithosphere of Eastern Europe (pp. 321―327). Moscow: GEOKART, GEOS (in Russian).
Kravtsov, Yu. A., & Orlov, Yu. I. (1980). Geometric optics of inhomogeneous media. Moscow: Nauka (in Russian).
Pilipenko, V. N. (1979). The numerical method of time fields for the construction of seismic boundaries. In Inverse kinematic problems of explosive seismology (pp. 124―181). Moscow: Nauka (in Russian).
Pilipenko, E. V., Verpakhovskaya, A. O., & Kekukh, D. A. (2009). Interpretation of 3D seismic exploration data applying finite-difference kinematic migration. Geofizicheskiy zhurnal, 31(1), 16―27 (in Russian).
Pilipenko, E. V., Verpakhovskaya, A. O., & Pilipenko, V. N. (2016). Finite-Difference Migration as One of the Methods to Obtain Information on Seismic Boundaries and Seismic Velocities in the Geological Environment: XV International Conference «Geoinformatics: Theoretical and Applied Aspects», Kiev, May 10―12, 2016 (pp. 1―4) (in Russian).
Pilipenko, V. N., Verpakhovskaya, A. O., Starostenko, V. I., & Pavlenkova, N. I. (2010). Finite-difference migration of the field of refracted waves in studies of the deep structure of the Earth’s crust and upper mantle based on the DSS data (on the example of the DOBRE profile). Fizika Zemli, (11), 36―48 (in Russian).
Riznichenko, Yu. V. (1945). Application of the method of time fields in practice. Applied Geophysics (Is. 1). Moscow: Gospomtekhizdat (in Russian).
Samarskiy, A. A., & Gulin, A. V. (1973). Stability of difference schemes. Moscow: Nauka (in Russian).
DOBREfraction’99 Working Group, Grad M., Gryn D., Guterch A., Janik T., Keller R., Lang R., Lyngsie S. B., Omelchenko V., Starostenko V. I., Stephenson R. A., Stovba S. M., Thybo H., Tolkunov A. (2003). «DOBREfraction’99», velocity model of the crust and upper mantle beneath the Donbas Foldbelt (East Ukraine). Tectonophysics, 371(1-4), 81―110. https://doi.org/10.1016/S0040-1951(03)00211-7.
Fowler, P. J. (1994).Finite-difference solution of the 3-D eikonal equation in spherical coordinates. SEG Annual Meeting Expended Abstracts, 1394―1397. https://doi.org/10.1190/1.1822792.
Saenger, E. H., & Bohlen, T. (2004). Finite-difference modelling of viscoelastic and anisotropic wave propagation using the rotated staggered grid. Geophysics, 69(2), 583―591. https://doi.org/10.1190/1.1707078.
Seisa, H. H. (2010). Migration and interpretation of first arrival inflection points due to lateral variations. Near Surface Geophysics, 8(1), 55―63. doi: 10.3997/1873-0604.2009051.
Starostenko, V., Janik, T., Lysynchuk, D., Sroda, P., Czuba, W., Kolomyets, K., … Tolkunov A. (2013). Mesozoic (?) lithosphere-scale buckling of the East European Craton in southern Ukraine: DOBRE-4 deep seismic profile. Geophysical Journal International, 195(2), 740―766. https://doi.org/10.1093/gji/ggt292.
Van Trier, J., & Symes, W. (1991). Upwind finite-difference calculation of traveltimes. Geophysics, 56(6), 812―821. https://doi.org/10.1190/1.1443099.
Verpakhovska, O., Pylypenko, V., Pylypenko, O. (2012). Application of finite-difference refraction migration to study of the Earth crust structure: 12th International Multidisciplinary Scientific GeoConference, June 17―23, 2012. Conference Proceedings (Vol. 2, pp. 545―554).
Vidale, J. E. (1990). Finite-difference calculations of traveltimes in three dimensions. Geophysics, 55(5), 521―526. https://doi.org/10.1190/ 1.1442863.
Wang, B., & Pann, K. (1995). Comparison of velocity sensitivity of kinematic migration in common-shot and common-offset domains. SEG Technical Program Expanded Abstracts (pp. 1193―1196).
Zhou, H., Li, L., Bjorklund, T., & Thornton, M. A. (2010). Comparative analysis of deformable layer tomography and cell tomography along the LARSE lines in southern California. Geophysical Journal International, 180(3), 1200―1222. https://doi.org/10.1111/j.1365-246X.2009.04472.x.
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