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3 H型层状模型矢量有限元解与解析解对比

Table 3 Comparison of vector finite element solution and analytical solution of H-type layered 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 99.4944 100 0.505638 44.9825 45.00002 0.03894 8000 99.5156 99.99967 0.484074 44.9807 45.00007 0.00043 5000 99.564 100.0036 0.439562 44.9729 44.9985 0.000569 2000 99.1812 99.72298 0.543282 45.0089 45.02392 0.000334 1000 100.138 100.1248 0.01314 44.3103 44.43167 0.002732 500 108.223 107.9785 0.22646 44.9127 44.67756 0.00526 200 112.433 113.6883 1.104134 51.6513 51.46143 0.00369 100 94.4807 95.60484 1.175822 59.265 59.07526 0.00321 50 63.587 64.76429 1.817807 63.9834 63.85949 0.00194 10 28.0673 28.37355 1.079333 45.849 46.13936 0.006293 5 32.2082 32.33247 0.384363 32.3095 32.54673 0.007289 2 55.1794 55.21716 0.06839 21.4561 21.55953 0.004797 1 89.6415 89.67347 0.035652 18.7262 18.78408 0.003081 0.5 143.375 143.3732 0.00122 19.0537 19.09105 0.001956 0.1 348.002 347.851 0.04341 25.4995 25.50588 0.00025 0.05 457.716 457.5438 0.03763 29.036 29.03635 1.19E-05 0.01 692.088 691.9579 0.0188 36.1384 36.13554 7.9E-05 0.005 769.11 769.008 0.01327 38.3803 38.37769 6.8E-05 0.001 888.395 888.3428 0.00588 41.8079 41.80643 3.5E-05 0.0005 919.642 919.6043 0.0041 42.7015 42.70037 2.7E-05 0.0001 963.197 963.179 0.00187 43.9466 43.94614 1.1E-05