K-space dispersion error compensators for the fractional spatial derivatives based constant-Q viscoelastic wave equation modeling
Tài liệu tham khảo
McDonal, 1958, Attenuation of shear and compressional waves in Pierre shale, Geophysics, 23, 421, 10.1190/1.1438489
Liu, 1976, Velocity dispersion due to anelasticity; implications for seismology and mantle composition, Geophys. J. Int., 47, 41, 10.1111/j.1365-246X.1976.tb01261.x
Kjartansson, 1979, Constant Q-wave propagation and attenuation, J. Geophys. Res., Solid Earth, 84, 4737, 10.1029/JB084iB09p04737
Day, 1984, Numerical simulation of attenuated wavefields using a Padé approximant method, Geophys. J. Int., 78, 105, 10.1111/j.1365-246X.1984.tb06474.x
Emmerich, 1987, Incorporation of attenuation into time-domain computations of seismic wave fields, Geophysics, 52, 1252, 10.1190/1.1442386
Carcione, 2009, Theory and modeling of constant-Q P- and S-waves using fractional time derivatives, Geophysics, 74, T1, 10.1190/1.3008548
Zhu, 2014, Theory and modelling of constant-Q P- and S-waves using fractional spatial derivatives, Geophys. J. Int., 196, 1787, 10.1093/gji/ggt483
Chen, 2016, Two efficient modeling schemes for fractional Laplacian viscoacoustic wave equation, Geophysics, 81, T233, 10.1190/geo2015-0660.1
Yang, 2018, A time-domain complex-valued wave equation for modelling visco-acoustic wave propagation, Geophys. J. Int., 215, 1064, 10.1093/gji/ggy323
Xing, 2019, Modeling frequency-independent Q viscoacoustic wave propagation in heterogeneous media, J. Geophys. Res., Solid Earth, 124, 11568, 10.1029/2019JB017985
Xing, 2021, A viscoelastic model for seismic attenuation using fractal mechanical networks, Geophys. J. Int., 224, 1658, 10.1093/gji/ggaa549
Zhang, 2021, Viscoelastic wave simulation with high temporal accuracy using frequency-dependent complex velocity, Surv. Geophys., 42, 97, 10.1007/s10712-020-09607-3
Liu, 2021, An analytic signal-based accurate time-domain viscoacoustic wave equation from the constant-Q theory, Geophysics, 86, T117, 10.1190/geo2020-0154.1
Mu, 2021, Modeling viscoacoustic wave propagation using a new spatial variable-order fractional Laplacian wave equation, Geophysics, 86, T487, 10.1190/geo2020-0610.1
Carcione, 1988, Wave propagation simulation in a linear viscoelastic medium, Geophys. J. Int., 95, 597, 10.1111/j.1365-246X.1988.tb06706.x
Blanch, 1995, Modeling of a constant Q: methodology and algorithm for an efficient and optimally inexpensive viscoelastic technique, Geophysics, 60, 176, 10.1190/1.1443744
Hestholm, 2002, Composite memory variable velocity-stress viscoelastic modelling, Geophys. J. Int., 148, 153, 10.1046/j.1365-246x.2002.01559.x
Moczo, 2005, On the rheological models used for time-domain methods of seismic wave propagation, Geophys. Res. Lett., 32, 10.1029/2004GL021598
Zhu, 2013, Approximating constant-Q seismic propagation in the time domain, Geophys. Prospect., 61, 931, 10.1111/1365-2478.12044
Bland, 1960
Podlubny, 1998
Carcione, 2010, A generalization of the Fourier pseudospectral method, Geophysics, 75, A53, 10.1190/1.3509472
Zhu, 2014, Modeling acoustic wave propagation in heterogeneous attenuating media using decoupled fractional Laplacians, Geophysics, 79, T105, 10.1190/geo2013-0245.1
Zhao, 2018, A stable approach for Q-compensated viscoelastic reverse time migration using excitation amplitude imaging condition, Geophysics, 83, S459, 10.1190/geo2018-0222.1
Wang, 2019, Q-compensated viscoelastic reverse time migration using mode-dependent adaptive stabilization scheme, Geophysics, 84, S301, 10.1190/geo2018-0423.1
Wang, 2018, A constant fractional-order viscoelastic wave equation and its numerical simulation scheme, Geophysics, 83, T39, 10.1190/geo2016-0609.1
Wang, 2022, Propagating seismic waves in VTI attenuating media using fractional viscoelastic wave equation, J. Geophys. Res., Solid Earth, 127, 10.1029/2021JB023280
Zhang, 2022, Modified viscoelastic wavefield simulations in the time domain using the new fractional Laplacians, J. Geophys. Eng., 19, 346, 10.1093/jge/gxac022
Fomel, 2013, Seismic wave extrapolation using lowrank symbol approximation, Geophys. Prospect., 61, 526, 10.1111/j.1365-2478.2012.01064.x
Bojarski, 1982, The k-space formulation of the scattering problem in the time domain, J. Acoust. Soc. Am., 72, 570, 10.1121/1.388038
Bojarski, 1985, The k-space formulation of the scattering problem in the time domain: an improved single propagator formulation, J. Acoust. Soc. Am., 77, 826, 10.1121/1.392051
Mast, 2001, A k-space method for large-scale models of wave propagation in tissue, IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 48, 341, 10.1109/58.911717
Tabei, 2002, A k-space method for coupled first-order acoustic propagation equations, J. Acoust. Soc. Am., 111, 53, 10.1121/1.1421344
Cox, 2007, k-space propagation models for acoustically heterogeneous media: application to biomedical photoacoustics, J. Acoust. Soc. Am., 121, 3453, 10.1121/1.2717409
Fang, 2014, Lowrank seismic-wave extrapolation on a staggered grid, Geophysics, 79, T157, 10.1190/geo2013-0290.1
Song, 2013, Lowrank finite-differences and lowrank Fourier finite-differences for seismic wave extrapolation in the acoustic approximation, Geophys. J. Int., 193, 960, 10.1093/gji/ggt017
Wang, 2020, Fractional Laplacians viscoacoustic wavefield modeling with k-space-based time-stepping error compensating scheme, Geophysics, 85, T1, 10.1190/geo2019-0151.1
Firouzi, 2012, A first-order k-space model for elastic wave propagation in heterogeneous media, J. Acoust. Soc. Am., 132, 1271, 10.1121/1.4730897
Firouzi, 2017, A k-space pseudospectral method for elastic wave propagation in heterogeneous anisotropic media, IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 64, 749, 10.1109/TUFFC.2017.2653063
Gong, 2018, Pseudo-analytical finite-difference elastic-wave extrapolation based on the k-space method, Geophysics, 83, T1, 10.1190/geo2017-0088.1
Du, 2020, A staggered-grid lowrank finite-difference method for elastic wave extrapolation, Ann. Geophys., 63, 329, 10.4401/ag-8197
Zhou, 2022, Novel first-order k-space formulations for wave propagation by asymmetrical factorization of space-wavenumber domain wave propagators, Geophysics, 87, T417, 10.1190/geo2021-0582.1
Koene, 2017, Eliminating time dispersion from seismic wave modeling, Geophys. J. Int., 213, 169, 10.1093/gji/ggx563
Carcione, 2007
Zhang, 2009, One-step extrapolation method for reverse time migration, Geophysics, 74, A29, 10.1190/1.3123476
Özdenvar, 1996, Causes and reduction of numerical artefacts in pseudo-spectral wavefield extrapolation, Geophys. J. Int., 126, 819, 10.1111/j.1365-246X.1996.tb04705.x
Castagna, 1993
Higdon, 1991, Absorbing boundary conditions for elastic waves, Geophysics, 56, 231, 10.1190/1.1443035
Collino, 2001, Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media, Geophysics, 66, 294, 10.1190/1.1444908
Komatitsch, 2007, An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation, Geophysics, 72, SM155, 10.1190/1.2757586
Liu, 2012, A hybrid absorbing boundary condition for elastic staggered-grid modelling, Geophys. Prospect., 60, 1114, 10.1111/j.1365-2478.2011.01051.x
Strang, 2021