基于矢量有限元的大地电磁快速三维正演研究

顾观文, 武晔, 石砚斌

Research on fast three-dimensional forward algorithm of magnetotelluric sounding based on vector finite element

GU Guan-Wen, WU Ye, SHI Yan-Bin

表1 均匀半空间模型矢量有限元解与解析解对比

Table 1 Comparison of vector finite element solution and analytical solution of uniform half space model

频点 /Hz 视电阻率(ρxy,ρyx)/(Ω·m) 相位φ/(°) 矢量有限元解 解析解 误差/% 矢量有限元解 解析解 误差/% 10000 99.4934 100 0.5066 44.9824 45 0.039111 8000 99.5168 100 0.4832 44.9800 45 0.044444 5000 99.5580 100 0.442 44.9782 45 0.048444 2000 99.6149 100 0.3851 44.9802 45 0.044 1000 99.6266 100 0.3734 44.9895 45 0.023333 500 99.7002 100 0.2998 44.9601 45 0.088667 200 99.8467 100 0.1533 45.0661 45 0.14689 100 99.4868 100 0.5132 45.1051 45 0.23356 50 99.2563 100 0.7437 45.0452 45 0.10044 10 99.4329 100 0.5671 44.9565 45 0.096667 5 99.5295 100 0.4705 44.9596 45 0.089778 2 99.6083 100 0.3917 44.9717 45 0.062889 1 99.6484 100 0.3516 44.9776 45 0.049778 0.5 99.6599 100 0.3401 44.9970 45 0.006667 0.1 99.7267 100 0.2733 44.9301 45 0.155333 0.05 99.9013 100 0.0987 44.9393 45 0.134889 0.01 100.0090 100 0.009 44.9873 45 0.028222 0.005 100.0070 100 0.007 44.9949 45 0.011333 0.001 100.0010 100 0.001 44.9995 45 0.001111 0.0005 100.0000 100 0 44.9998 45 0.000444 0.0001 100.0000 100 0 45.0000 45 0