物探化探计算技术
物探化探計算技術
물탐화탐계산기술
COMPUTING TECHNIQUES FOR GEOPHYSICAL AND GEOCHEMICAL EXPLORATION
2014年
5期
521-528
,共8页
大地电磁%起伏地形%任意四边形网格%有限单元法
大地電磁%起伏地形%任意四邊形網格%有限單元法
대지전자%기복지형%임의사변형망격%유한단원법
MT%topography%arbitrary quadratic element%FEM
为了模拟实际的起伏地形,在前人研究的基础上,单元网格设计为任意四边形网格,单元内的场值双线性变化,采用了高斯数值积分法计算单元系数矩阵,并给出二维大地电场的辅助场表达式。通过模型算例表明,模拟结果与解析解的均方误差在1%以内,地形模型与前人的模拟结果相吻合。分析对比了两个不同坡度模型对视电阻率和相位的影响。采用任意四边形网格剖分法,降低了编程难度,可以方便地适应野外地形的起伏变化。
為瞭模擬實際的起伏地形,在前人研究的基礎上,單元網格設計為任意四邊形網格,單元內的場值雙線性變化,採用瞭高斯數值積分法計算單元繫數矩陣,併給齣二維大地電場的輔助場錶達式。通過模型算例錶明,模擬結果與解析解的均方誤差在1%以內,地形模型與前人的模擬結果相吻閤。分析對比瞭兩箇不同坡度模型對視電阻率和相位的影響。採用任意四邊形網格剖分法,降低瞭編程難度,可以方便地適應野外地形的起伏變化。
위료모의실제적기복지형,재전인연구적기출상,단원망격설계위임의사변형망격,단원내적장치쌍선성변화,채용료고사수치적분법계산단원계수구진,병급출이유대지전장적보조장표체식。통과모형산례표명,모의결과여해석해적균방오차재1%이내,지형모형여전인적모의결과상문합。분석대비료량개불동파도모형대시전조솔화상위적영향。채용임의사변형망격부분법,강저료편정난도,가이방편지괄응야외지형적기복변화。
In order to easily model topography in field work,on the basis of predecessors'achievements,the arbitrary quad-rilateral element grid was used in the finite element method (FEM),and the electromagnetic field of models were designed to bilinear variation within each quadrilateral element in our numeric modeling.We deduced the specific formula to calculate the u-nit coefficient matrix by Gaussian numerical integral and the expression of the auxiliary field when using arbitrary quadratic ele-ment.Model calculation shows that the mean square error between the simulation results with the analytical solution is less than 1 percent,and the results of terrain model is consistent with the one of other scholar's.Through modeling of two ramp terrain modes with different pitch,comparing and analyzing the effect of the apparent resistivity and the phase.Due to the use of arbitrary quadrilateral element grid,the difficulty of programing was reduced,forward modeling can be more easily adapt to the topography variation.