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将交错网格高阶有限差分纵横波分离的方法与逆时偏移成像方法相结合，给出了基于裂缝诱导TTI双孔隙介质模型的纵波逆时偏移成像算法，并对二维水平层状模型的数据进行偏移成像. 结果表明，对于裂缝诱导TTI双孔隙介质模型，常规的基于各向同性背景孔隙岩石速度的偏移方法会导致成像结果出现过偏移现象. 为研究裂缝参数对过偏移程度的影响，利用Christoffel方程，对裂缝诱导TTI 双孔隙介质模型中的相速度公式进行了推导，并在此基础上，分析了裂缝角度和密度参数对介质纵波相速度及成像位置的影响. 结果表明，在二维情况下，裂缝极化角增大会减小成像速度与真实速度之间的误差，从而使得成像结果逐渐接近储层的真实位置；而裂缝密度的增大则使得速度误差增大，导致成像结果与真实模型的偏差越来越大.A new algorithm for P-wave reverse time migration (RTM) in a fracture-induced TTI double-porosity medium is proposed in this paper, by combining RTM with the method of P-and S-wave field separation in high-order staggered grid finitedifference scheme. Simulation results show that for the fracture-induced TTI double-porosity medium the conventional migration with a background velocity without fractures would cause the imaging position to be under the true interface. To study the influence of fracture parameters, the phase velocity formulae are derived from Christoffel equations, and the effects of fracture angles and density are analyzed. In the 2D case, the imaging position gets closer to the real interface along with increasing fracture dip angles, while a bigger fracture density can cause much more deviation.
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Keywords:
- fracture-induced TTI /
- fracture angle /
- fracture density /
- reserve time migration
[1] Brown R J S, Korringa J 1975 Geophysics 40 608
[2] Xu S 1998 International Journal of Solids and Structures 35 4685
[3] Cardona R 2002 SEG Annual Meeting
[4] Gurevich B 2003 Journal of Applied Geophysics 54 203
[5] Hudson J A 1980 Overall properties of a cracked solid (Cambridge University Press) 88 371
[6] Hudson J A 1981 Geophysical Journal of the Royal Astronomical Society 64 133
[7] Hudson J A, Liu E, Crampin S 1996 Geophysical Journal International 124 105
[8] Hudson J A, Pointer T, Liu E 2001 Geophysical Prospecting 49 509
[9] Thomsen L 1995 Geophysical Prospecting 43 805
[10] Schoenberg M, Douma J 1988 Geophysical Prospecting 36 571
[11] Schoenberg M, Sayers C M 1995 Geophysics 60 204
[12] Du Q Z Kong L Y, Han S C 2009 Chinese J. Geophys 52 1049 (in Chinese)[杜启振, 孔丽云, 韩世春 2009 地球物理学报 52 1049]
[13] Kong L Y, Wang Y B, Yang H Z 2012 Chinese J. Geophys 55 189 (in Chinese)[孔丽云, 王一博, 杨慧珠 2012 地球物理学报 55 189]
[14] Brajanovski M, Gurevich B, Schoenberg M 2005 Geophysical Journal International 163 372
[15] Liang K 2006 PhD Dissertation (Dongying: China University of Petroleum (EastChina)) (in Chinese) [梁锴 2006 博士学位论文 (东营: 中国石油大学(华东))]
[16] Li Z C, Zhang J H 2004 Seismic Data Processing (Dongying: University of petroleum press) (in Chinese) [李振春, 张军华 2004 地震数据处理方法(东营: 石油大学出版社)]
[17] Han L H 2011 Master Dissertation (Qingdao: Ocean University of China) (in Chinese) [韩令贺 2011 硕士学位论文(青岛: 中国海洋大学)]
[18] Qin T 2009 Master Dissertation (Dongying: China University of Petroleum (EastChina)) (in Chinese) [秦童 2009 硕士学位论文 (东营: 中国石油大学(华东))]
[19] Whitmore N D 1983 53rd Ann. Internat. Mtg., Soc. Explor. Geophys., Expanded Abstracts 382
[20] McMechan G A 1983 Geophysical Prospecting 31 413
[21] Baysal E, Kosloff D D, Sherwood J W C 1983 Geophysics 48 1514
[22] Loewenthal D, Mufti I 1983 Geophysics 48 627
[23] Chang W F, McMechan G A 1986 Geophysics 51 67
[24] Zhang B M, Dong M Y, Li C C, Teng J W, Zhang Z J 2000 Journal of Changchun University of Science and Technology 30 67 (in Chinese) [张秉铭, 董敏煜, 李承楚, 滕吉文, 张中杰 2000 长春科技大学学报 30 67]
[25] Zhang H X, Ning S N 2002 J. CUMT 31 371 (in Chinese) [张会星, 宁书年 2002 中国矿业大学学报 31 371]
[26] Du Q Z Qin T 2009 Chinese J. Geophys 52 801 (in Chinese)[杜启振秦童 2009 地球物理学报 52 801]
[27] Kong L Y, Wang Y B, Yang H Z 2013 Acta Phys. Sin. 62 139101 (in Chinese)[孔丽云, 王一博, 杨慧珠 2013 物理学报 62 139101]
[28] Chen K Y, Wu Q L, Yang W, Li L L, Fan X C 2010 Geophysical m& Geochemical Exploration 34 103 (in Chinese)[陈可洋, 吴清岭, 杨微, 李来林, 范兴才 2010 物探与化探 34 103]
[29] Wang X M 2011 Master Dissertation (Dongying: China University of Petroleum (EastChina)) (in Chinese) [王雪梅 2011 硕士学位论文 (东营: 中国石油大学(华东))]
[30] Liang B, Zhu Z M Cheng J C 2006 Chin. Phys. 15 412
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[1] Brown R J S, Korringa J 1975 Geophysics 40 608
[2] Xu S 1998 International Journal of Solids and Structures 35 4685
[3] Cardona R 2002 SEG Annual Meeting
[4] Gurevich B 2003 Journal of Applied Geophysics 54 203
[5] Hudson J A 1980 Overall properties of a cracked solid (Cambridge University Press) 88 371
[6] Hudson J A 1981 Geophysical Journal of the Royal Astronomical Society 64 133
[7] Hudson J A, Liu E, Crampin S 1996 Geophysical Journal International 124 105
[8] Hudson J A, Pointer T, Liu E 2001 Geophysical Prospecting 49 509
[9] Thomsen L 1995 Geophysical Prospecting 43 805
[10] Schoenberg M, Douma J 1988 Geophysical Prospecting 36 571
[11] Schoenberg M, Sayers C M 1995 Geophysics 60 204
[12] Du Q Z Kong L Y, Han S C 2009 Chinese J. Geophys 52 1049 (in Chinese)[杜启振, 孔丽云, 韩世春 2009 地球物理学报 52 1049]
[13] Kong L Y, Wang Y B, Yang H Z 2012 Chinese J. Geophys 55 189 (in Chinese)[孔丽云, 王一博, 杨慧珠 2012 地球物理学报 55 189]
[14] Brajanovski M, Gurevich B, Schoenberg M 2005 Geophysical Journal International 163 372
[15] Liang K 2006 PhD Dissertation (Dongying: China University of Petroleum (EastChina)) (in Chinese) [梁锴 2006 博士学位论文 (东营: 中国石油大学(华东))]
[16] Li Z C, Zhang J H 2004 Seismic Data Processing (Dongying: University of petroleum press) (in Chinese) [李振春, 张军华 2004 地震数据处理方法(东营: 石油大学出版社)]
[17] Han L H 2011 Master Dissertation (Qingdao: Ocean University of China) (in Chinese) [韩令贺 2011 硕士学位论文(青岛: 中国海洋大学)]
[18] Qin T 2009 Master Dissertation (Dongying: China University of Petroleum (EastChina)) (in Chinese) [秦童 2009 硕士学位论文 (东营: 中国石油大学(华东))]
[19] Whitmore N D 1983 53rd Ann. Internat. Mtg., Soc. Explor. Geophys., Expanded Abstracts 382
[20] McMechan G A 1983 Geophysical Prospecting 31 413
[21] Baysal E, Kosloff D D, Sherwood J W C 1983 Geophysics 48 1514
[22] Loewenthal D, Mufti I 1983 Geophysics 48 627
[23] Chang W F, McMechan G A 1986 Geophysics 51 67
[24] Zhang B M, Dong M Y, Li C C, Teng J W, Zhang Z J 2000 Journal of Changchun University of Science and Technology 30 67 (in Chinese) [张秉铭, 董敏煜, 李承楚, 滕吉文, 张中杰 2000 长春科技大学学报 30 67]
[25] Zhang H X, Ning S N 2002 J. CUMT 31 371 (in Chinese) [张会星, 宁书年 2002 中国矿业大学学报 31 371]
[26] Du Q Z Qin T 2009 Chinese J. Geophys 52 801 (in Chinese)[杜启振秦童 2009 地球物理学报 52 801]
[27] Kong L Y, Wang Y B, Yang H Z 2013 Acta Phys. Sin. 62 139101 (in Chinese)[孔丽云, 王一博, 杨慧珠 2013 物理学报 62 139101]
[28] Chen K Y, Wu Q L, Yang W, Li L L, Fan X C 2010 Geophysical m& Geochemical Exploration 34 103 (in Chinese)[陈可洋, 吴清岭, 杨微, 李来林, 范兴才 2010 物探与化探 34 103]
[29] Wang X M 2011 Master Dissertation (Dongying: China University of Petroleum (EastChina)) (in Chinese) [王雪梅 2011 硕士学位论文 (东营: 中国石油大学(华东))]
[30] Liang B, Zhu Z M Cheng J C 2006 Chin. Phys. 15 412
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