本文關(guān)鍵詞： 全空間 瞬變電磁法 三維有限差分 三維正演 三維反演　出處：《西南交通大學(xué)》2014年碩士論文　論文類型：學(xué)位論文

【摘要】：近年來,隨著國(guó)家對(duì)交通基礎(chǔ)設(shè)施的大力投入,眾多長(zhǎng)大隧道相繼修建。在這些長(zhǎng)大隧道的修建過程中出現(xiàn)了許多隧道施工安全事故,在這些事故中很多是由于地下水造成的,傳統(tǒng)的超前地質(zhì)預(yù)報(bào)方法由于受到自身特點(diǎn)的限制,對(duì)水的探測(cè)效果不佳,因此迫切需要找到一種探水方法。經(jīng)過工程實(shí)踐證明,瞬變電磁法可以比較精準(zhǔn)的探測(cè)出地下水。但是隧道全空間中應(yīng)用瞬變電磁法時(shí)是一個(gè)全空間的問題,隧道全空間中瞬變電磁法還缺乏系統(tǒng)的研究,尤其是與工程關(guān)系緊密的三維正、反演問題,論文正是在這種背景下展開研究的。 瞬變電磁三維正演、反演問題是時(shí)下研究的熱點(diǎn)問題。隧道全空間中的三維正、反演問題研究還處于探索階段。論文在研究半空間的基礎(chǔ)上,結(jié)合隧道全空間的特點(diǎn)推導(dǎo)了三維時(shí)域下的迭代差分方程,從數(shù)值計(jì)穩(wěn)定性方面考慮介紹了時(shí)域下的數(shù)值色散、數(shù)值穩(wěn)定性問題,并且得到數(shù)值穩(wěn)定條件。論文主要完成了以下幾個(gè)方面的工作： 1.邊界條件的處理時(shí),綜合考慮隧道全空間的特點(diǎn),引入了CPML邊界條件。該邊界條件能夠極好的模擬電磁問題中的邊界問題,減小了折射反射。 2.在研究三維正演問題時(shí),為了保證模型的合理性,研究了經(jīng)開挖隧道長(zhǎng)度取值問題；不同尺寸低阻體對(duì)電磁響應(yīng)的影響；不同低阻體的電磁響應(yīng)等。這些結(jié)論能夠?yàn)榻⒁粋�(gè)合理的模型提供參考。 3.在研究隧道全空間反演問題時(shí),針對(duì)三維反演計(jì)算量大、耗時(shí)長(zhǎng)的特點(diǎn),采用了改進(jìn)的特征反演法,有效的減少了計(jì)算時(shí)間,提高了效率。 4.提出了比較可行的反演路徑,使得反演在滿足一些限制條件的情況下能夠順利進(jìn)行,同時(shí)提出了反演時(shí)控制矩陣病態(tài)的相關(guān)辦法。
[Abstract]:In recent years, with the national investment in transportation infrastructure, many long tunnels have been built. In the process of construction of these long tunnels, there are many tunnel construction safety accidents. Many of these accidents are caused by underground water, and the traditional advanced geological prediction methods are limited by their own characteristics, so the detection effect of water is not good. Therefore, it is urgent to find a water detection method. Through engineering practice, it is proved that transient electromagnetic method can accurately detect groundwater. However, the application of transient electromagnetic method in the whole tunnel space is a full space problem. The transient electromagnetic method in the whole tunnel space is still lack of systematic research, especially the three-dimensional forward inversion problem which is closely related to engineering. Transient electromagnetic three-dimensional forward modeling, inversion problem is a hot issue in the current research. The research of three-dimensional forward inversion in the whole tunnel space is still in the exploration stage. This paper is based on the research of half-space. The iterative difference equations in 3D time domain are derived according to the characteristics of the whole tunnel space. The numerical dispersion and numerical stability in time domain are introduced from the point of view of numerical stability. And the numerical stability conditions are obtained. The main work of this paper is as follows: 1. When the boundary condition is processed, the CPML boundary condition is introduced considering the characteristics of the whole tunnel space. The boundary condition can simulate the boundary problem in the electromagnetic problem perfectly and reduce the refraction reflection. 2. In order to ensure the rationality of the model, the value of the length of the excavated tunnel is studied in order to ensure the rationality of the model. The influence of different sizes of low resistive bodies on the electromagnetic response; These conclusions can provide a reference for the establishment of a reasonable model. 3. In the study of the whole space inversion of tunnel, the improved feature inversion method is adopted in order to reduce the computation time and improve the efficiency because of the large amount of computation and the long time of 3D inversion. 4. A feasible inversion path is proposed, which enables the inversion to proceed smoothly under some restricted conditions. At the same time, the related methods of controlling the ill-condition of the matrix are put forward.
【學(xué)位授予單位】：西南交通大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2014
【分類號(hào)】：P631.325;U452.11

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