Way to calculate travel times FOR finite-frequency seismic migration software monochromatic wave fields

摘要

1. method u0434u043bu00a0 u043eu043fu0440u0435u0434u0435u043bu0435u043du0438u00a0 time of seismic waves on the surface of the item to the at least one point calculations within a multitude of points available u0438u00a0 in geological environment, including u0441u0435u0431u00a0:;(a) an area assignment models, including the many points u0441u0435u0431u00a0 u0440u0430u0437u043cu0435u0449u0435u043du0438u00a0 in geological environment.;(b) the calculation of u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu0433u043e wave speed model u0434u043bu00a0 u043fu043eu043bu00a0 using at least one point calculations.;(c) the definition of open phase of seismic waves in at least one of the point of computing, the nearest to the at least one point calculations in the specified u0440u0430u0437u043cu0435u0449u0435u043du0438u00a0 by multiple points; and;(d) determination of the time of seismic waves to the at least one point calculations in the defined open phase and the u0432u044bu0447u0438u0441u043bu0435u043du043du043eu043cu0443 u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu043cu0443 u0432u043eu043bu043du043eu0432u043eu043cu0443 field u0434u043bu00a0 at least one point calculations.;2. method for 1, in which the point on the surface of u043fu0440u0435u0434u0441u0442u0430u0432u043bu00a0u0435u0442 one of: (i) and (ii) u043cu0435u0441u0442u043eu043fu043eu043bu043eu0436u0435u043du0438u00a0 u043cu0435u0441u0442u043eu043fu043eu043bu043eu0436u0435u043du0438u00a0 source receiver.;3. method for p.1, in which the calculation u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu0433u043e wave u043fu043eu043bu00a0 u0434u043bu00a0 at least one point calculations further includes u0441u0435u0431u00a0 definition u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu0433 on the u0440u0435u0448u0435u043du0438u00a0 u0434u043bu00a0 of at least one of: (i) the wave u0443u0440u0430u0432u043du0435u043du0438u00a0 elastic waves u0434u043bu00a0 runs in one direction, (ii) the wave u0443u0440u0430u0432u043du0435u043du0438u00a0 elastic waves u0434u043bu00a0 full mileage and, the(iii) the wave u0443u0440u0430u0432u043du0435u043du0438u00a0 acoustic waves u0434u043bu00a0 runs in one direction, and (iv) the wave u0443u0440u0430u0432u043du0435u043du0438u00a0 acoustic waves u0434u043bu00a0 total mileage.;4. method for calculation of wave 3, which u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu0433u043e u043fu043eu043bu00a0 further includes u0441u0435u0431u00a0 process u0440u0435u0448u0435u043du0438u00a0 u0434u043bu00a0 u043du0430u0445u043eu0436u0434u0435u043du0438u00a0 solutions for wave u0443u0440u0430u0432u043du0435u043du0438u00a0 at least one of: (i) the method of finite element, (ii) the method of finite u0440u0430u0437u043du043eu0441u0442u0435u0439, (iii) and (iv) u00a0u0432u043du043eu0433u043e method u043du0435u00a0u0432u043du043eu0433u043e method.;5. method for calculation of wave 3, which u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu0433u043e u043fu043eu043bu00a0 further includes the use of at least one function u0441u0435u0431u00a0 greene.;6. method for article 3, which additionally includes u0441u0435u0431u00a0 receive the amplitude coefficients of the migration on the basis of u0432u044bu0447u0438u0441u043bu0435u043du043du043eu0433u043e u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu0433u043e u0432u043eu043bu043du043eu0432u043e laplacian the u043fu043eu043bu00a0.;7. method for 1, in which at least one point to many points u0441u0435u0431u00a0 computation includes computing.;8. method for 1, in which at least one u0441u043eu0441u0435u0434u043du00a0u00a0 point computing includes u0441u0435u0431u00a0 many neighbouring points calculation.;9. method for 1, which further includes u0441u0435u0431u00a0 definition on the basis of at least one u0432u044bu0447u0438u0441u043bu0435u043du043du043eu0433u043e time of at least one of: (i) cards the mileage and (ii) the table of distance.;10. method for 1, in which at least one u0441u043eu0441u0435u0434u043du00a0u00a0 point computing includes u0441u0435u0431u00a0 many neighbouring points calculations, and the method further includes u0441u0435u0431u00a0 the definition of the phases of the neighbouring points calculations by u043eu0431u0440u0430u0437u043eu0432u0430u043du0438u00a0 weighted sum of the phases of the neighbouring points calculation.;11. method for 1, in which the definition of the open phase of at least one point computing includes u0441u0435u0431u00a0 limitation of open phase, at least one is ci calculations within a certain phase u0434u043bu00a0 at least one neighbouring point calculations.;12. method for 1, in which the definition of time further includes u0441u0435u0431u00a0 calculation u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu0433u043e wave u043fu043eu043bu00a0 on multidimensional surfaces.;13. method for 1, in which the definition of time further includes u0441u0435u0431u00a0 calculation u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu0433u043e wave u043fu043eu043bu00a0 on multidimensional surfaces that u0440u0430u00a0 u043fu0440u0435u0434u0441u0442u0430u0432u043bu00a0u0435u0442 a u0434u0432u0430u0434u0446u0430u0442u0438u0433u0440u0430u043du043du0438u043a.;14. method for p.1, in which the definition of the time of seismic waves to the at least one point calculations further includes u0441u0435u0431u00a0, at least one of: (i) anal isa local gradient time, (ii) analysis of the local gradient u043du0435u0440u0430u0437u0432u0435u0440u043du0443u0442u043eu0439 phase, (iii) u043eu043fu0440u0435u0434u0435u043bu0435u043du0438u00a0 the highest amplitude of at least one neighbouring the calculations(iv) the definition of the least open phase of at least one of the point of computing, (v) a flat wave u0434u043bu00a0 of at least one other point you u0447u0438u0441u043bu0435u043du0438u0439, (vi) the weighted plane wave u0434u043bu00a0 at least one neighbouring point calculations, and (vii) the calculation of weighted wave impulse u0433u044eu0439u0433u0435u043du0441u0430 on u0441u043du043eu0432u0430u043du0438u0438 at least one neighbouring point calculations.;15. method u0434u043bu00a0 u043eu043fu0440u0435u0434u0435u043bu0435u043du0438u00a0 maps of seismic waves from u0434u043bu00a0 running item on a surface and at least one point calculations within the many points u0440u0430u0437u043cu0435u0449u0435u043du0438u00a0 in geological environment, including u0441u0435u0431u00a0:;(a) an area assignment models, including the many points u0441u0435u0431u00a0 u0440u0430u0437u043cu0435u0449u0435u043du0438u00a0 in geological environment.;(b) the calculation of u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu0433u043e wave speed model u0434u043bu00a0 u043fu043eu043bu00a0 using at least one point calculations.;(c) the definition of open phase of seismic waves in at least one of the point of computing, the nearest to the at least one point calculations in the specified u0440u0430u0437u043cu0435u0449u0435u043du0438u00a0 by multiple points;;(d) determination of the time of seismic waves to the at least one point calculations in the defined open phase and the u0432u044bu0447u0438u0441u043bu0435u043du043du043eu043cu0443 u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu043cu0443 u0432u043eu043bu043du043eu0432u043eu043cu0443 field u0434u043bu00a0 at least one point calculations.;(e) the values of the distance in the form of a map.;16. method for p.15, which the point on the surface of u043fu0440u0435u0434u0441u0442u0430u0432u043bu00a0u0435u0442 one of: (i) and (ii) u043cu0435u0441u0442u043eu043fu043eu043bu043eu0436u0435u043du0438u00a0 u043cu0435u0441u0442u043eu043fu043eu043bu043eu0436u0435u043du0438u00a0 source receiver.;17. method for p.15, wherein at least one point to many points u0441u0435u0431u00a0 computation includes computing.;18. method for p.15, wherein at least one u0441u043eu0441u0435u0434u043du00a0u00a0 point computing includes u0441u0435u0431u00a0 many neighbouring points calculation.;19. method for p.15, wherein at least one u0441u043eu0441u0435u0434u043du00a0u00a0 point computing includes u0441u0435u0431u00a0 many neighbouring points calculations, and the method further includes u0441u0435u0431u00a0 the definition of the phases of the neighbouring points calculations by u0444u043eu0440u043cu0438u0440u043eu0432u0430u043du0438u00a0 weighted sum of the phases of the neighbouring points calculation.;20. method for determination of open phase, p.15, in which at least one point computing includes u0441u0435u0431u00a0 limitation of open phase, at least one u0447u043au0438 calculations within a certain phase u0434u043bu00a0 at least one neighbouring point calculations.;21. method for u043eu043fu0440u0435u0434u0435u043bu00a0u0435u043cu043eu0435 p.15, which u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu0435 wave field u0432u044bu0447u0438u0441u043bu00a0u044eu0442, u0438u0441u043fu043eu043bu044cu0437u0443u00a0 at least one function green.;22. method for p.15, which additionally includes u0441u0435u0431u00a0 receive the amplitude coefficients of the migration on the basis of u0432u044bu0447u0438u0441u043bu0435u043du043du043eu0433u043e u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu0433u043e u0432u043eu043bu043du043eu0432u043e laplacian the u043fu043eu043bu00a0.;23. method for determination of u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu0433u043e p.15, in which the wave u043fu043eu043bu00a0 further includes u0441u0435u0431u00a0 calculation of wave u043fu043eu043bu00a0 on multidimensional surfaces.;24. method for determination of u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu0433u043e p.15, in which the wave u043fu043eu043bu00a0 further includes u0441u0435u0431u00a0 calculation of wave u043fu043eu043bu00a0 on multidimensional surfaces that u0440u0430u00a0 u043fu0440u0435u0434u0441u0442u0430u0432u043bu00a0u0435u0442 a u0434u0432u0430u0434u0446u0430u0442u0438u0433u0440u0430u043du043du0438u043a.;25. method for p.15, in which the definition of u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu0433u043e wave u043fu043eu043bu00a0 further includes u0441u0435u0431u00a0 u0440u0435u0448u0435u043du0438u00a0 u0434u043bu00a0 calculation of at least one of: (i) the wave u0443u0440u0430u0432u043du0435u043du0438u00a0 elastic waves u0434u043bu00a0 runs in one direction, (ii) the wave u0443u0440u0430u0432u043du0435u043du0438u00a0 elastic waves u0434u043bu00a0 total mileage.(iii) the wave u0443u0440u0430u0432u043du0435u043du0438u00a0 acoustic waves u0434u043bu00a0 runs in one direction, and (iv) the wave u0443u0440u0430u0432u043du0435u043du0438u00a0 acoustic waves u0434u043bu00a0 total mileage.;26. method for determination of u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu0433u043e p.15, in which the wave u043fu043eu043bu00a0 further includes u0441u0435u0431u00a0 process u0440u0435u0448u0435u043du0438u00a0 u0434u043bu00a0 u043du0430u0445u043eu0436u0434u0435u043du0438u00a0 solutions u0443u0440u0430u0432u043du0435u043du0438u00a0 wave at least one of: (i) the method of finite u0440u0430u0437u043du043eu0441u0442u0435u0439, (ii) the method of finite element method u00a0u0432u043du043eu0433u043e, (iii), (iv) and (v) u043du0435u00a0u0432u043du043eu0433u043e method u043fu0440u0435u043eu0431u0440u0430u0437u043eu0432u0430u043du0438u00a0 fourier method.;27. method for p.15, in which the definition of the time of seismic waves to the at least one point calculations further includes u0441u0435u0431u00a0, at least one of: (i) anal isa local gradient time, (ii) analysis of the local gradient u043du0435u0440u0430u0437u0432u0435u0440u043du0443u0442u043eu0439 phase, (iii) u043eu043fu0440u0435u0434u0435u043bu0435u043du0438u00a0 the highest amplitude of at least one neighbouring the calculations(iv) the definition of the least open phase of at least one of the point of computing, (v) a flat wave u0434u043bu00a0 of at least one other point you u0447u0438u0441u043bu0435u043du0438u0439, (vi) the weighted plane wave u0434u043bu00a0 at least one neighbouring point calculations, and (vii) the calculation of weighted wave impulse u0433u044eu0439u0433u0435u043du0441u0430 on u0441u043du043eu0432u0430u043du0438u0438 at least one neighbouring point calculations.;28. method u0434u043bu00a0 u043eu043fu0440u0435u0434u0435u043bu0435u043du0438u00a0 time of seismic waves on the surface of the item to the at least one point calculations within a multitude of points available u0438u00a0 in geological environment, including u0441u0435u0431u00a0:;(a) an area assignment models, including the many points u0441u0435u0431u00a0 u0440u0430u0437u043cu0435u0449u0435u043du0438u00a0 in geological environment.;(b) the calculation of the wave u043fu043eu043bu00a0 u0434u043bu00a0 of at least one selected frequencies using the fast model u0434u043bu00a0 at least one point calculations.;(c) the definition of open phase of seismic waves in at least one of the point of computing, the nearest to the at least one point calculations in the specified u0440u0430u0437u043cu0435u0449u0435u043du0438u00a0 by multiple points; and;(d) determination of the time of seismic waves to the at least one point calculations in the defined open phase and the u0432u044bu0447u0438u0441u043bu0435u043du043du043eu043cu0443 u0432u043eu043bu043du043eu0432u043eu043cu0443 field u0434u043bu00a0 at least one point calculations.;29. method for p.28, which the point on the surface of u043fu0440u0435u0434u0441u0442u0430u0432u043bu00a0u0435u0442 one of: (i) u043cu0435u0441u0442u043eu043fu043eu043bu043eu0436u0435u043du0438u00a0 source, and (ii) u043cu0435u0441u0442u043eu043fu043eu043bu043eu0436u0435u043du0438u00a0 receiver.;30. method for p.28, in which the calculation of the wave u043fu043eu043bu00a0 u0434u043bu00a0 at least one point calculations further includes a u0441u0435u0431u00a0 u0440u0435u0448u0435u043du0438u00a0 u043fu043eu043bu00a0 to wave at me re the one selected frequency u0434u043bu00a0 of at least one of: (i) the wave u0443u0440u0430u0432u043du0435u043du0438u00a0 elastic waves u0434u043bu00a0 runs in one direction, (ii) the wave u0443u0440u0430u0432u043du0435u043du0438u00a0 elastic waves d u043bu00a0 total mileage.(iii) the wave u0443u0440u0430u0432u043du0435u043du0438u00a0 acoustic waves u0434u043bu00a0 runs in one direction, and (iv) the wave u0443u0440u0430u0432u043du0435u043du0438u00a0 acoustic waves u0434u043bu00a0 total mileage.;31. method for calculating u043cu043eu043du043eu0445u0440u043eu043cu0430u0442u0438u0447u0435u0441u043au043eu0433u043e p.30 in which wave u043fu043eu043bu00a0 further includes u0441u0435u0431u00a0 process u0440u0435u0448u0435u043du0438u00a0 u0434u043bu00a0 u043du0430u0445u043eu0436u0434u0435u043du0438u00a0 solutions u0443u0440u0430u0432u043du0435u043du0438u00a0 p wave on at least one of: (i) the method of finite element, (ii) the method of finite u0440u0430u0437u043du043eu0441u0442u0435u0439, (iii) and (iv) u00a0u0432u043du043eu0433u043e method u043du0435u00a0u0432u043du043eu0433u043e method.;32. method for calculating the wave u043fu043eu043bu00a0 p.30 in which further includes the use of at least one function u0441u0435u0431u00a0 green u0434u043bu00a0 at least one pass u043du043du043eu0439 frequencies.;33. method for p.30, which additionally includes u0441u0435u0431u00a0 receive the amplitude coefficients of migration based on wave u043fu043eu043bu00a0 u0432u044bu0447u0438u0441u043bu0435u043du043du043eu0433u043e laplacian.;34. method for p.28, wherein at least one point to many points u0441u0435u0431u00a0 computation includes computing.;35. method for p.28, wherein at least one u0441u043eu0441u0435u0434u043du00a0u00a0 point computing includes u0441u0435u0431u00a0 many neighbouring points calculation.;36. method for p.28, which additionally includes u0441u0435u0431u00a0 definition on the basis of at least one u0432u044bu0447u0438u0441u043bu0435u043du043du043eu0433u043e time of at least one of: (i) cards the mileage and (ii) the table of distance.;37. method for p.28, wherein at least one u0441u043eu0441u0435u0434u043du00a0u00a0 point computing includes u0441u0435u0431u00a0 many neighbouring points calculations, and the method further includes u0441u0435u0431u00a0 the definition of the phases of the neighbouring points calculations by u043eu0431u0440u0430u0437u043eu0432u0430u043du0438u00a0 weighted sum of the phases of the neighbouring points calculation.;38. method for determination of open phase, p.28, in which at least one point computing includes u0441u0435u0431u00a0 limitation of open phase, at least one u0447u043au0438 calculations within a certain phase u0434u043bu00a0 at least one neighbouring point calculations.;39. method for 1, in which the definition of time further includes u0441u0435u0431u00a0 wave u043fu043eu043bu00a0 u0434u043bu00a0 calculation of at least one of the selected frequency in u043cu043du043eu0433u043eu0433 ranna surface.;40. method for 1, in which the definition of time further includes u0441u0435u0431u00a0 wave u043fu043eu043bu00a0 u0434u043bu00a0 calculation of at least one of the selected frequency in u043cu043du043eu0433u043eu0433 ranna surface u043au043eu0442u043eu0440u0430u00a0 u043fu0440u0435u0434u0441u0442u0430u0432u043bu00a0u0435u0442 a u0434u0432u0430u0434u0446u0430u0442u0438u0433u0440u0430u043du043du0438u043a.;41. method for p.15, in which the definition of the time of seismic waves to the at least one point calculations further includes u0441u0435u0431u00a0, at least one of: (i) anal isa local gradient time, (ii) analysis of the local gradient u043du0435u0440u0430u0437u0432u0435u0440u043du0443u0442u043eu0439 phase, (iii) u043eu043fu0440u0435u0434u0435u043bu0435u043du0438u00a0 the highest amplitude of at least one neighbouring the calculations(iv) the definition of the least open phase of at least one of the point of computing, (v) a flat wave u0434u043bu00a0 of at least one other point you u0447u0438u0441u043bu0435u043du0438u0439, (vi) the weighted plane wave u0434u043bu00a0 at least one neighbouring point calculations, and (vii) the calculation of weighted wave impulse u0433u044eu0439u0433u0435u043du0441u0430 on u0441u043du043eu0432u0430u043du0438u0438 at least one neighbouring point calculations.