It is shown in this note that the three methods, the orthonormalization method, the minor matrix method and the recursive reflection-transmission matrix method are closely related and solve the numerical instability i...It is shown in this note that the three methods, the orthonormalization method, the minor matrix method and the recursive reflection-transmission matrix method are closely related and solve the numerical instability in the original Thomson-Haskell propagator matrix method equally well. Another stable and efficient method based on the orthonormalization and the Langer block-diagonal decomposition is presented to calculate the response of a horizotttal stratified model to a plane, spectral wave. It is a numerically robust Thomson-Haskell matrix method for high frequencies, large layer thicknesses and horizontal slownesses. The technique is applied to calculate reflection-transmission coefficients, body wave receiver functions and Rayleigh wave dispersion.展开更多
Reliable subsurface time-lapse seismic monitoring is crucial for many geo-physical applications,such as enhanced geothermal system characterization,geologic carbon utilization and storage,and conventional and unconven...Reliable subsurface time-lapse seismic monitoring is crucial for many geo-physical applications,such as enhanced geothermal system characterization,geologic carbon utilization and storage,and conventional and unconventional oil/gas reservoir characterization,etc.We develop an elastic-wave sensitivity propagation method for optimal design of cost-effective time-lapse seismic surveys considering the fact that most of subsurface geologic layers and fractured reservoirs are anisotropic instead of isotropic.For anisotropic media,we define monitoring criteria using qP-and qS-wave sensitivity energies after decomposing qP-and qS-wave components from the total elastic-wave sensitivity wavefield using a hybrid time-and frequency-domain approach.Geophones should therefore be placed at locations with significant qP-and qS-wave sensitivity energies for cost-effective time-lapse seismic monitoring in an anisotropic geology setting.Our numerical modeling results for a modified anisotropic Hess model demonstrate that,compared with the isotropic case,subsurface anisotropy changes the spatial distributions of elastic-wave sensitivity energies.Consequently,it is necessary to consider subsurface anisotropies when designing the spatial distri-bution of geophones for cost-effective time-lapse seismic monitoring.This finding suggests that it is essential to use our new anisotropic elastic-wave sensitivity modeling method for optimal design of time-lapse seismic surveys to reliably monitor the changes in subsurface reservoirs,fracture zones or target monitoring regions.展开更多
基金supported by National Natural Science Foundation of China(Nos.40374009 and 40574024)
文摘It is shown in this note that the three methods, the orthonormalization method, the minor matrix method and the recursive reflection-transmission matrix method are closely related and solve the numerical instability in the original Thomson-Haskell propagator matrix method equally well. Another stable and efficient method based on the orthonormalization and the Langer block-diagonal decomposition is presented to calculate the response of a horizotttal stratified model to a plane, spectral wave. It is a numerically robust Thomson-Haskell matrix method for high frequencies, large layer thicknesses and horizontal slownesses. The technique is applied to calculate reflection-transmission coefficients, body wave receiver functions and Rayleigh wave dispersion.
文摘Reliable subsurface time-lapse seismic monitoring is crucial for many geo-physical applications,such as enhanced geothermal system characterization,geologic carbon utilization and storage,and conventional and unconventional oil/gas reservoir characterization,etc.We develop an elastic-wave sensitivity propagation method for optimal design of cost-effective time-lapse seismic surveys considering the fact that most of subsurface geologic layers and fractured reservoirs are anisotropic instead of isotropic.For anisotropic media,we define monitoring criteria using qP-and qS-wave sensitivity energies after decomposing qP-and qS-wave components from the total elastic-wave sensitivity wavefield using a hybrid time-and frequency-domain approach.Geophones should therefore be placed at locations with significant qP-and qS-wave sensitivity energies for cost-effective time-lapse seismic monitoring in an anisotropic geology setting.Our numerical modeling results for a modified anisotropic Hess model demonstrate that,compared with the isotropic case,subsurface anisotropy changes the spatial distributions of elastic-wave sensitivity energies.Consequently,it is necessary to consider subsurface anisotropies when designing the spatial distri-bution of geophones for cost-effective time-lapse seismic monitoring.This finding suggests that it is essential to use our new anisotropic elastic-wave sensitivity modeling method for optimal design of time-lapse seismic surveys to reliably monitor the changes in subsurface reservoirs,fracture zones or target monitoring regions.