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Modeling of seismic wave propagation in areas with irregular topography is an important topic in the feld of seismic exploration. As a popular numerical method for seismic modeling, the fnite diference method is nontrivial to consider the irregular free surface. There have been extensive studies on the time-domain fnite diference simulations with irregular topography; however, the frequency-domain fnite diference simulation considering irregular topography is relatively less studied. The average-derivative approach is an optimal numerical simulation scheme in the frequency domain, which can produce accurate modeling results at a relatively low computational cost. Nevertheless, this approach can only deal with the modeling problems with a fat free surface. To address this issue, we design a new frequency-domain fnite diference scheme by introducing the polygonal representation of topography into the average-derivative method. The irregular topog raphy is represented by line segments with various slopes. An extension of the conventional average-derivative diference operator in the local rotated coordinate system is used for formulating the spatial derivatives aligned with the topographic line segments. As a result, new average-derivative diference schemes are obtained for irregular topography. In this way, the average-derivative optimal method is generalized to the model with irregular topography. Numerical examples show the efectiveness of the presented method.
Wydawca
Czasopismo
Rocznik
Tom
Strony
1387--1409
Opis fizyczny
Bibliogr. 23 poz.
Twórcy
autor
- Key Laboratory of Petroleum Resources Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
- Innovation Academy for Earth Science, Chinese Academy of Sciences, Beijing 100029, China
- University of Chinese Academy of Sciences, Beijing 100049, China
autor
- Key Laboratory of Petroleum Resources Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
- Innovation Academy for Earth Science, Chinese Academy of Sciences, Beijing 100029, China
- University of Chinese Academy of Sciences, Beijing 100049, China
autor
- Key Laboratory of Petroleum Resources Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
- Innovation Academy for Earth Science, Chinese Academy of Sciences, Beijing 100029, China
Bibliografia
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- 3. Brossier R, Virieux J, Operto S (2008) Parsimonious finite-volume frequency-domain method for 2-D P-SV-wave modeling. Geophys J Int 175:541–559
- 4. Chen JB, Cao J (2016) Modeling of frequency-domain elastic-wave equation with an average-derivative optimal method. Geophysics 81:339–356
- 5. Hayashi K, Burns DR, Toksöz MN (2001) Discontinuous-grid finite-difference seismic modeling including surface topography. Bull Seismol Soc Am 91:1750–1764
- 6. Hestholm S, Ruud B (1994) 2D finite-difference elastic wave modelling including surface topography. Geophys Prospect 42:371–390
- 7. Hestholm S, Ruud B (1998) 3-D finite-difference elastic wave modeling including surface topography. Geophysics 63:613–622
- 8. Hestholm S, Ruud B (2002) 3D free-boundary conditions for coordinate-transform finite-difference seismic modelling. Geophys Prospect 50:463–474
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- 10. Jang U, Min DJ, Choi Y, Shin C (2008) Frequency-domain elastic waveform inversion with irregular surface topography. In: 78th annual international meeting, SEG, expanded abstracts, pp 2031–2035
- 11. Jih RS, McLaughlin KL, Der ZA (1988) Free-boundary conditions of arbitrary polygonal topography in a two-dimensional explicit elastic finite-difference scheme. Geophysics 53:1045–1055
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- 14. Lan H, Zhang Z (2011) Three-dimensional wave-field simulation in heterogeneous transversely isotropic medium with irregular free surface. Bull Seismol Soc Am 101:1354–1370
- 15. Ohminato T, Chouet BA (1997) A free-surface boundary condition for including 3D topography in the finite-difference method. Bull Seismol Soc Am 87:494–515
- 16. Operto S, Virieux J, Amestoy P, L’Excellent JY, Giraud L (2007) 3D finite-difference frequency-domain modeling of visco-acoustic wave propagation using a massively parallel direct solver: a feasibility study. Geophysics 72:195–211
- 17. Pratt RG (1990) Frequency-domain elastic wave modeling by finite differences: a tool for crosshole seismic imaging. Geophysics 55:626–632
- 18. Robertsson JOA (1996) A numerical free-surface condition for elastic/viscoelastic finite difference modeling in the presence of topography. Geophysics 61:1921–1934
- 19. Ruud B, Hestholm S (2001) 2D surface topography boundary conditions in seismic wave modelling. Geophys Prospect 49:445–460
- 20. Tessmer E, Kosloff D (1994) 3-D elastic modeling with surface topography by a Chebychev spectral method. Geophysics 59:464–473
- 21. Tessmer E, Kosloff D, Behle A (1992) Elastic wave propagation simulation in the presence of surface topography. Geophys J Int 108:621–632
- 22. Wang Y, Zhou H, Chen HM, Sheng SB, Yuan SY (2015) Acoustic reverse time migration and perfectly matched layer in boundary-conforming grids by elliptic method. J Appl Geophys 122:53–61
- 23. Zhang W, Zhang Z, Chen X (2012) Three-dimensional elastic wave numerical modelling in the presence of surface topography by a collocated-grid finite-difference method on curvilinear grids. Geophys J Int 190:358–378
Typ dokumentu
Bibliografia
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