Three-dimensional adaptive higher order finite element simulation for geo-electromagnetics—a marine CSEM example
Three-dimensional adaptive higher order finite element simulation for geo-electromagnetics—a marine CSEM example
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DOI：
10.1111/j.1365-246x.2011.05127.x
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发表时间：
2011-10
影响因子：
2.8
通讯作者：
C. Schwarzbach;Ralph-Uwe Börner;K. Spitzer
中科院分区：
文献类型：
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作者：
C. Schwarzbach;Ralph-Uwe Börner;K. Spitzer
摘要我们提出了一种新的三维矢量有限元程序，并通过模拟一个真实的海洋CSEM场景来验证它的优越性。非结构化四面体网格很容易包括任意海底水深测量，以便以接近现实的方式将自然环境映射到模型中。一次/二次场方法、自适应网格加密策略以及高次多项式有限元逼近提高了解的精度。一项收敛研究有力地表明，即使解不是全局光滑的，使用高阶有限元也是有益的。海洋CSEM情景还表明，海底地形给出了一个重要的反应，需要通过数值模拟来再现，以避免对测量结果的误解。
SUMMARY We present a new 3-D vector finite element code and demonstrate its strength by modelling a realistic marine CSEM scenario. Unstructured tetrahedral meshes easily allow for the inclusion of arbitrary seafloor bathymetry so that natural environments are mapped into the model in a close-to-reality way. A primary/secondary field approach, an adaptive mesh refinement strategy as well as a higher order polynomial finite element approximation improve the solution accuracy. A convergence study strongly indicates that the use of higher order finite elements is beneficial even if the solution is not globally smooth. The marine CSEM scenario also shows that seafloor topography gives an important response which needs to be reproduced by numerical modelling to avoid the misinterpretation of measurements.