物探与化探
物探與化探
물탐여화탐
GEOPHYSICAL AND GEOCHEMICAL EXPLORATION
2014年
1期
145-150
,共6页
直流电阻率%自适应有限元法%地形改正%2.5维%后验误差估计
直流電阻率%自適應有限元法%地形改正%2.5維%後驗誤差估計
직류전조솔%자괄응유한원법%지형개정%2.5유%후험오차고계
DC resistivity%adaptive finite-element%topographic correction%2.5D%posteriori error estimation
采用易于模拟复杂地形起伏和倾斜界面的非结构三角单元剖分网格,并利用对偶加权后验误差估计指导网格自动细化过程,实现了2.5维直流电阻率法自适应有限元数值模拟。在实例模型分析中,分别计算了层状模型和垂直岩脉模型的直流电阻率响应,并与其解析解进行了比较。对比结果表明,该算法所得数值解精度很高,解的相对误差小于0.5%。最后,计算了起伏地形2.5维地电模型视电阻率异常,并利用比较法进行了地形改正。地形改正结果与水平地形时的结果对比表明,比较法可以较好地消除地形影响,突出局部地质体异常。
採用易于模擬複雜地形起伏和傾斜界麵的非結構三角單元剖分網格,併利用對偶加權後驗誤差估計指導網格自動細化過程,實現瞭2.5維直流電阻率法自適應有限元數值模擬。在實例模型分析中,分彆計算瞭層狀模型和垂直巖脈模型的直流電阻率響應,併與其解析解進行瞭比較。對比結果錶明,該算法所得數值解精度很高,解的相對誤差小于0.5%。最後,計算瞭起伏地形2.5維地電模型視電阻率異常,併利用比較法進行瞭地形改正。地形改正結果與水平地形時的結果對比錶明,比較法可以較好地消除地形影響,突齣跼部地質體異常。
채용역우모의복잡지형기복화경사계면적비결구삼각단원부분망격,병이용대우가권후험오차고계지도망격자동세화과정,실현료2.5유직류전조솔법자괄응유한원수치모의。재실례모형분석중,분별계산료층상모형화수직암맥모형적직류전조솔향응,병여기해석해진행료비교。대비결과표명,해산법소득수치해정도흔고,해적상대오차소우0.5%。최후,계산료기복지형2.5유지전모형시전조솔이상,병이용비교법진행료지형개정。지형개정결과여수평지형시적결과대비표명,비교법가이교호지소제지형영향,돌출국부지질체이상。
2.5D DC resistivity modeling was realized by adaptive finite-element numerical simulation algorithm. This algorithm uses un-structured triangular element that is easy to simulate complex topography and inclined interface to subdivide mesh, and utilizes dual weighted posteriori error estimation guide mesh refining process. In the instance model analysis, the authors calculated the DC resistivity response of the layered model and the vertical dike model, which were compared with their analytical solutions respectively. The results show that the numerical solution for this algorithm has high accuracy,and the relative error of the numerical solution is less than 5 percent. Finally, the authors calculated 2.5D geoelectric model apparent resistivity anomaly of undulate topography and corrected the undulate to-pography by using the comparative method. The contrast between topographic correction results and level terrain results show that the com-parative method is effective in eliminating the terrain effect and giving prominence to local geological anomalies.