本文選題：連續(xù)變化 + 大地電磁��； 參考：《湖南大學(xué)學(xué)報(bào)(自然科學(xué)版)》2017年08期

【摘要】：針對地下空間目標(biāo)體多為電性參數(shù)連續(xù)變化且分布形態(tài)復(fù)雜等特點(diǎn),結(jié)合無網(wǎng)格法物性參數(shù)加載方便、計(jì)算精度較高、自適應(yīng)分析便利等優(yōu)勢,基于徑向基函數(shù)構(gòu)造了連續(xù)導(dǎo)電模型下的形函數(shù),推導(dǎo)了等價(jià)線性方程組,進(jìn)行了電導(dǎo)率連續(xù)變化的二維大地電磁數(shù)值模擬,給出了形狀參數(shù)最優(yōu)值.通過電導(dǎo)率連續(xù)變化的水平層狀模型驗(yàn)證了算法的正確性,計(jì)算結(jié)果均方根相對誤差不超過0.36%,精度優(yōu)于有限元法.討論了電導(dǎo)率連續(xù)變化的水平模型與均勻分塊模型的電磁響應(yīng)差異,對連續(xù)變化的地塹模型和不同傾斜角度下油藏注水模型進(jìn)行了數(shù)值模擬.研究表明:連續(xù)變化模型和均勻分塊模型差異明顯,在實(shí)際反演解釋中采用連續(xù)變化模型有利于提高反演的精度;TM模式的觀測方式對于異常體的傾斜分布具有更好的分辨能力;無網(wǎng)格法避免了復(fù)雜的模型輸入和網(wǎng)格的生成,更適合計(jì)算電性參數(shù)連續(xù)變化和復(fù)雜分布的異常體響應(yīng),將成為復(fù)雜電性和分布形態(tài)下電磁探測高精度數(shù)值模擬新方法.
[Abstract]:In view of the characteristics that the objects in underground space are continuously changing in electrical parameters and the distribution forms are complex, combined with the advantages of the meshless method, such as convenient loading of physical property parameters, high calculation accuracy and convenient adaptive analysis, etc. Based on the radial basis function, the shape function under the continuous conduction model is constructed, the equivalent linear equation system is derived, the two-dimensional magnetotelluric numerical simulation of the continuous change of conductivity is carried out, and the optimum value of the shape parameter is given. The correctness of the algorithm is verified by the horizontal layered model with continuous variation of conductivity. The relative error of RMS is less than 0.36 and the accuracy is better than that of the finite element method. The difference of electromagnetic response between horizontal model and uniform block model of continuous conductivity variation is discussed. The continuous variation of graben model and reservoir water injection model with different inclined angles are numerically simulated. The results show that there are significant differences between the continuous variation model and the uniform block model, and the use of the continuous variation model in the actual inversion interpretation is helpful to improve the accuracy of inversion and the observation method of TM model has better resolution ability for the tilt distribution of abnormal bodies. The meshless method avoids complicated model input and mesh generation, and is more suitable for calculating the continuous variation of electrical parameters and the abnormal volume response of complex distribution. It will become a new method for high precision numerical simulation of electromagnetic detection under complex electrical properties and distribution patterns.
【作者單位】： 吉林大學(xué)儀器科學(xué)與電氣工程學(xué)院;地球信息探測儀器教育部重點(diǎn)實(shí)驗(yàn)室;
【基金】：國家自然科學(xué)基金資助項(xiàng)目(41674109) 國家重大科研裝備研制資助項(xiàng)目(ZDYZ2012-1-05)~~
【分類號】：P631.325

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