3-D DC resistivity modelling with arbitrary long electrode sources using finite element method on unstructured grids
3-D DC resistivity modelling with arbitrary long electrode sources using finite element method on unstructured grids
复制标题
在非结构化网格上使用有限元方法对任意长电极源进行 3D 直流电阻率建模
DOI：
10.1093/gji/ggx356
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发表时间：
2017-11
影响因子：
2.8
通讯作者：
Xiaoping Wu
中科院分区：
文献类型：
--
作者：
Jun Yang;Yuanying Liu;Xiaoping Wu
在非结构化四面体网格上，采用有限元方法建立了长电极源的三维电阻率模型。在我们的模型中，电极的半径和电阻率被忽略，电极可以看作是一个有限长度的线源。导出了沿电极方向确定电流密度的近似方程，用于非均质介质中的电流密度校正。可以模拟非均质导电介质中任意长电极源激发的电场。仿真中采用了全电位法和二次电位法。推导了导电半空间中任意长电极源的解析电势，并将其用于数值模拟的精度分析。基于半空间模型的解析解，提出了长电极源测量阵列的视电阻率。将点电极和长电极源激发的电场对电阻率异常的响应与地面和钻孔模拟进行了比较，结果表明，长电极源阵列对异常的响应比点电极源阵列更敏感。模拟了以生产井为长电极源的油田水力压裂延时监测，结果表明，长电极源阵列的井眼电位数据可以帮助评估裂缝带的位置。
We present a 3-D electrical resistivity modelling with long electrode sources using finite element method on unstructured tetrahedral grids. The radius and resistivity of the electrode is neglected and the electrode can be regarded as a line source with finite length in our modelling. An approximated equation for determining the current density along the electrode is derived for current density correction in heterogeneous media. Electrical fields excited by arbitrary long electrode sources in heterogeneous conductive media can be simulated. Both total- and secondary-potential methods are implemented in the simulation. The analytic electrical potentials of an arbitrary long electrode source in a conductive half-space is derived and used for accuracy analysis in the numerical simulations. The apparent resistivities for survey arrays with long electrode sources are proposed based on the analytic solution of the half-space model. The responses of electrical fields excited by point electrode and long electrode sources to resistivity anomalies are compared with ground and borehole simulations, which shows that the arrays with long electrode sources are more sensitive to the anomalies than those with point electrode sources. A time-lapsed monitoring for hydraulic fracturing in oil field using the production wells as long electrode sources is also simulated, which indicates that the borehole potential data of the long electrode source array can help assess the location of the fracture zone.
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影响因子：
2.8
作者：
K. Spitzer
通讯作者：
K. Spitzer
影响因子：
2
作者：
T. Zhu
通讯作者：
T. Zhu
影响因子：
2.8
作者：
Yuguo Li;K. Spitzer
通讯作者：
Yuguo Li;K. Spitzer
影响因子：
3.3
作者：
D. Rucker;Meng H. Loke;M. T. Levitt;G. Noonan
通讯作者：
D. Rucker;Meng H. Loke;M. T. Levitt;G. Noonan
影响因子：
1
作者：
Cordell D. Johnson;P. Swarzenski;C. Richardson;Christopher G. Smith;K. Kroeger;P. Ganguli
通讯作者：
Cordell D. Johnson;P. Swarzenski;C. Richardson;Christopher G. Smith;K. Kroeger;P. Ganguli