Micro-seismic forward modeling in visco-elastic TTI media based on rotated staggered grid finite-difference method
Yao Zhenan1,2, Sun Chengyu1,2, Xie junfa3, Tang Jie1,2
1. School of Geosciences, China University of Petroleum(East China), Qingdao, Shandong 266580, China;
2. Laboratory for Marine Mineral Resources, Qingdao National Laboratory for Marine Science and Technology, Qingdao, Shandong 266071, China;
3. Northwest Branch, Research Institute of Petroleum Exploration & Development, PetroChina, Lanzhou, Gansu 730020, China
Abstract:Based on visco-elastic anisotropic first-order velocity-stress wave equations presented by Carcione,micro-seismic wave fields,records,and illumination maps are acquired by the rotated staggered grid finite-difference forward modeling.With seismic moment tensor decomposition,the force source is turned into velocity source and then loaded on the rotated staggered grids for ISO,DC and CLVD three kinds of basis sources.Micro-seismic wave field characteristics are analyzed at the same time and the following observation are obtained:1The relative strength between qP-wave and qSV-wave,and the qP-wave first-motion focal mechanism solutions are only restricted to focal mechanism; this can be used to investigate different focal mechanism and inverse fracture parameters.2qP-wave arrival time is only subjected to reservoir property,so qP-wave event curvature can be set as prior information for reservoir prediction.3Both focal mechanisms and medium types will affect the micro-seismic event radiation pattern and there are many differences among different cases.So different prior information should be considered for energy orientation optimization in the geometry design process.
Baig A and Urbancic T.Microseismic moment ten-sors:a path to understanding frac growth.The Leading Edge,2010,29(3):320-324.
[2]
Carcione J M.Wave propagation in anisotropic linear viscoelastic media:theory and simulated wavefields.Geophysical Journal International,1990,101(3):739-750.
[3]
Aki K and Richards P G.Quantitatives Seismology(2nd Edition).University Science Books,Sausalito,California,USA,2002.
[4]
Maxwell S C. Microseismic:Growth born from success.The Leading Edge,2010,29(3):338-343.
Yin Chen,He Zhenhua,Li Yalin et al.Research and application of the relative magnitude technique based on microseismic.Chinese Journal of Geophysics,2015,58(6):2210-2220.
[6]
Saenger E H,Gold N,Shapiro S A.Modeling the propagation of elastic waves using a modified finite-difference grid.Wave Motion,2000,31(1):77-92.
[7]
Saenger E H,Bohlen T.Finite-difference modeling of viscoelastic and anisotropic wave propagation using the rotated staggered.Geophysics,2004,69(2):583-591.
Tang Jie,Fang Bing,Lan Yang et al.Focal mechanism of micro-seismic induced by hydrofracture and its signal propagation charcateristics.OGP,2015,50(4):643-649.
[9]
Vavry?uk V.Focal mechanisms in anisotropic media.Geophysical Journal International,2005,161(2):334-346.
[10]
Graves R W.Simulating seismic wave propagation in 3D elastic media using staggered-grid finite differences.Bulletin of the Seismological Society of America,1996,86(4):1091-1106.
[11]
Li Huijian,Wang Runqiu and Cao Siyuan.Microseismic forward modeling based on different focal mechanisms used by the seismic moment tensor and elastic wave equation.Journal of Geophysics and Engineering,2015,12(2):155-166.
Zhang Luxin,Fu Liyun,Pei Zhenglin.Finite difference modeling of Biot's poroelastic equations with unsplit convolutional PML and rotated staggered grid. Chinese Journal of Geophysics,2010,53(10):2470-2483.
[13]
Carcione J M,Kosloff D and Kosloff R.Wave propagation simulation in a linear viscoacoustic medium. Geophysical Journal International,1988,93(2):393-401.
Yang Xinchao,Zhu Haibo,Cui Shuguo et al.Application of P-wave first-motion focal mechanism solutions in microseismic monitoring for hydraulic fracturing.GPP,2015,54(1):43-50.