本文關鍵詞：基于擬線性積分方程法的三維電磁場數(shù)值模擬精度分析　出處：《吉林大學學報(地球科學版)》2017年04期 　論文類型：期刊論文

  更多相關文章： 擬線性近似 擬解析近似 局部擬線性近似 精度對比

【摘要】：應用于大規(guī)模三維數(shù)據(jù)反演的擬線性近似方法的計算精度和應用范圍至今仍是一個比較模糊的概念。本文首先實現(xiàn)了基于擬線性近似方法(對角擬線性近似、標量擬線性近似、擬解析近似和局部擬線性近似)的三維電磁場數(shù)值模擬,然后通過正演計算,對這些方法的計算精度進行了系統(tǒng)的對比研究。理論研究結果表明:對角擬線性近似方法精度最高,適用范圍最廣,對電性變化在3~4個數(shù)量級內(nèi)的地電模型都能給出精確的計算結果;擬解析近似方法計算精度只低于對角擬線性近似方法,它適用于異常電導率與背景電導率比值為2~3個數(shù)量級的地電模型;標量擬線性近似方法和局部擬線性近似方法的精度較低,只適用于異常電導率與背景電導率比值小于2個數(shù)量級的情況。
[Abstract]:The accuracy and application range of quasilinear approximation method for large scale 3D data inversion is still a relatively fuzzy concept. In this paper, the quasi-linear approximation based on quasilinear approximation (diagonal quasilinear approximation) is first implemented. Three dimensional electromagnetic field numerical simulation of scalar quasilinear approximation, quasi analytic approximation and local quasilinear approximation) is carried out, and then the forward calculation is carried out. The theoretical results show that the diagonal quasilinear approximation method has the highest accuracy and the widest range of application. The geoelectric model with electrical variation in the range of 3 ~ 4 orders of magnitude can be calculated accurately. The accuracy of the quasi-analytical approximation is only lower than that of the diagonal quasi-linear approximation. It is suitable for geoelectric models with the ratio of anomalous conductivity to background conductivity of 2 ~ 3 orders of magnitude. The precision of scalar quasilinear approximation method and local quasi-linear approximation method is low, which is only suitable for cases where the ratio of anomalous conductivity to background conductivity is less than two orders of magnitude.
【作者單位】： 吉林大學地球探測科學與技術學院;
【基金】：國家深部探測技術與實驗研究專項(SinoProbe-03-05) 國家重大科學儀器設備開發(fā)專項(2011YQ05006009)~~
【分類號】：P631.325
【正文快照】： 0引言積分方程法在計算總場時形成的矩陣是稠密矩陣,對于小規(guī)模三維數(shù)值模擬,積分方程法占據(jù)著精度高和速度快的優(yōu)勢;但隨著異常區(qū)域規(guī)模的增大,積分方程法對內(nèi)存的需求和計算時間都會急劇增加,限制了該方法在三維反演中的應用。為克服積分方程法這個缺點,很多學者將目光放在，

本文編號：1368957