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应用地球物理  2018, Vol. 15 Issue (1): 35-45    DOI: 10.1007/s11770-018-0666-9
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基于混合PML的频域有限元声反射测井正演模拟
王兵1,张阔2,陶果3,刘鹤1,张晓亮4
1. 油气资源与探测国家重点实验室,中国石油大学(北京),北京 102249
2. 中国电子信息产业发展研究院,北京赛迪出版传媒有限公司,北京 100048
3. 地球科学学院,Khalifa University,阿布扎比 2533
4. 中国石油集团西部钻探工程有限公司测井公司,新疆克拉玛依 834000
Acoustic reflection well logging modeling using the frequency-domain finite-element method with a hybrid PML
Wang Bing1, Kuo Zhang2, Guo Tao3, He Liu1, and Zhang Xiao-Liang4
1. State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, China.
2. China Center for Information Industry Development, Beijing CCID Publishing & Media Co., Ltd., Beijing 100048, China.
3. Department of Petroleum Geoscience, Khalifa University, Abu Dhabi, United Arab Emirates 2533.
4. Well Logging Company, Western Drilling Engineering Corporation, CNPC, Karamay, Xinjiang 834000, China.
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摘要 频域有限元方法用于声反射声波测井正演模拟具有模拟精度高、计算速度快、模型可以任意设置、不受斜井影响等优点。采用混合PML全吸收边界条件,可以更好的压制极端模型下的数值不稳定现象,设置一个网格的吸收边界即可以对界面反射进行有效的衰减,极大的提高了有限元方法的计算速度和动态范围,适用于声反射测井正演模拟。通过与理论模拟结果的对比,验证了混合PML频域有限元方法的有效性。对电缆、随钻测井条件下井外为分界面的声反射测井问题进行了正演模拟。模拟结果表明:井外分界面倾角为0时,P-S和S-P反射波到时一致,到时差异随着倾角的增大而增大;当井外裂缝存在时,反射波后续存在较为明显的反射信号,可作为分辨井外分界面和大型裂缝带的证据;主波长和模型尺度的差异,致使较为复杂的随钻声反射测井数据相比电缆声反射测井分辨率更好、质量更高。
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关键词频域有限元方法   复拉伸坐标系   混合PML吸收边界   电缆声反射测井   随钻声反射测井     
Abstract: In this paper, we propose a hybrid PML (H-PML) combining the normal absorption factor of convolutional PML (C-PML) with tangential absorption factor of Mutiaxial PML (M-PML). The H-PML boundary conditions can better suppress the numerical instability in some extreme models. and the computational speed of finite-element method and the dynamic range are greatly increased using this HPML. We use the finite-element method with a hybrid PML to model the acoustic reflection of the interface when wireline and well logging while drilling (LWD), in a formation with a reflector outside the borehole. The simulation results suggests that the PS- and SP- reflected waves arrive at the same time when the inclination between the well and the outer interface is zero, and the difference in arrival times increases with increasing dip angle. When there are fractures outside the well, the reflection signal is clearer in the subsequent reflection waves and may be used to identify the fractured zone. The difference between the dominant wavelength and the model scale shows that LWD reflection logging data are of higher resolution and quality than wireline acoustic reflection logging.
Key wordsFrequency domain   finite-element method   hybrid PML boundary   wireline well logging   logging while drilling   
收稿日期: 2017-11-17;
基金资助:

本研究由中国国家自然科学基金资助项目(编号:41204094)和中国石油大学(北京)科研基金项目(编号:2462015YQ0506)资助。

引用本文:   
. 基于混合PML的频域有限元声反射测井正演模拟[J]. 应用地球物理, 2018, 15(1): 35-45.
. Acoustic reflection well logging modeling using the frequency-domain finite-element method with a hybrid PML[J]. APPLIED GEOPHYSICS, 2018, 15(1): 35-45.
 
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