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
529-534
,共6页
段长生%王绪本%吕玉增%李长伟%黄修保
段長生%王緒本%呂玉增%李長偉%黃脩保
단장생%왕서본%려옥증%리장위%황수보
边界单元法%地形改正%立体角%球面三角形
邊界單元法%地形改正%立體角%毬麵三角形
변계단원법%지형개정%입체각%구면삼각형
boundary element method%topographic correction%solid angle%spherical triangle
电法观测易受到地形的影响,给资料解释造成困难。这里对数值计算中地面网格节点的立体角(ω)公式进行了严格地推导,利用边界单元法对三维直流电场的地形影响进行了计算并编写了程序。90°角域山脊地形算例表明,解析解与数值解的电位及视电阻率相对误差小于5%,验证了算法及程序的正确性。实例计算了3D山谷地形2D观测剖面的地形效应,当旁侧剖面与主剖面距离大于24 m时,地形效应最大值小于5%。
電法觀測易受到地形的影響,給資料解釋造成睏難。這裏對數值計算中地麵網格節點的立體角(ω)公式進行瞭嚴格地推導,利用邊界單元法對三維直流電場的地形影響進行瞭計算併編寫瞭程序。90°角域山脊地形算例錶明,解析解與數值解的電位及視電阻率相對誤差小于5%,驗證瞭算法及程序的正確性。實例計算瞭3D山穀地形2D觀測剖麵的地形效應,噹徬側剖麵與主剖麵距離大于24 m時,地形效應最大值小于5%。
전법관측역수도지형적영향,급자료해석조성곤난。저리대수치계산중지면망격절점적입체각(ω)공식진행료엄격지추도,이용변계단원법대삼유직류전장적지형영향진행료계산병편사료정서。90°각역산척지형산례표명,해석해여수치해적전위급시전조솔상대오차소우5%,험증료산법급정서적정학성。실례계산료3D산곡지형2D관측부면적지형효응,당방측부면여주부면거리대우24 m시,지형효응최대치소우5%。
It is difficult to interpret DC electrical prospecting data which were easily Influenced by the terrain.In this pa-per,the solid angle of the ground grid nodes for the numerical calculation of formula were rigorously deduced,3D topography effect of the DC electric field were calculated by the boundary element method using fortran Language.The results of ridge ter-rain of 900 angular domain show the relative error of potential and apparent resistivity are less than 5 percent and verify the cor-rectness of the algorithm and program.3D topography effect were analyzed in valley terrain by 2D sections.In the design mode,when the lateral distance from the cross section to the main cross-section greater than 24m,the maximum value of the topographic effect less than 5% .