An Iterative Inversion Method for a Perfectly Conducting Cylinder on Angular Spectral Domain

Author(s):  
Seon–Kyu Park ◽  
Cheon–Seok Park ◽  
Jung–Woong Ra
2019 ◽  
Vol 52 (9) ◽  
pp. 541-552 ◽  
Author(s):  
Xuewen Hou ◽  
Guanqun Su ◽  
Bing Lu ◽  
Xin Wang ◽  
Shengdong Nie

2019 ◽  
Vol 11 (10) ◽  
pp. 1950097 ◽  
Author(s):  
Zhi Liu ◽  
Yanli Sun ◽  
Jianwei Deng ◽  
Dongmei Zhao ◽  
Yue Mei ◽  
...  

This paper presents a comparative study of two typical inverse algorithms, i.e., direct and iterative inversion methods, to reconstruct the shear modulus distribution of linearly elastic solids. Both approaches are based on the finite element framework and compared utilizing both the simulated and experimental data. The reconstruction results demonstrate that both approaches are capable of identifying the nonhomogeneous shear modulus distribution of solids well. It can also be found that the direct inversion method is much faster than the iterative inversion method, whereas the iterative inversion method is capable of yielding better shear modulus ratio between the stiff inclusion and the soft background even with very high noise levels. Afterwards, a thorough comparison on the advantages and disadvantages of these two approaches has been performed. This comparative study provides useful information on the selection of the proper inverse scheme in estimating nonhomogeneous elastic property distribution of soft solids nondestructively.


Geophysics ◽  
2019 ◽  
Vol 84 (2) ◽  
pp. E89-E103 ◽  
Author(s):  
Yan Li ◽  
Taiyue Qi ◽  
Bo Lei ◽  
Zongyang Li ◽  
Wangping Qian

The correct interpretation of full-space transient electromagnetic data has always constituted a critical safety problem during tunnel excavation projects. Targeting the interpretation of water-filled caves under narrow tunnel conditions, we have developed an iterative inversion method based on 3D finite-difference time-domain (FDTD) forward calculations and a direction algorithm. In total, 125 groups of 3D FDTD forward calculation results are analyzed to identify the correlations between the response data and the geometric conditions of the cave. A direction algorithm is established based on the correlations, thereby increasing the iterative inversion convergence speed. Using the proposed iterative inversion method, the location and volume of the water-filled cave in front of the tunnel face are successfully inverted. Through an iterative program, the inversion results of simulations involving the detection of water-filled caves under tunnel conditions are accurately analyzed, and the relative error is less than 10%. The application of the iterative inversion method to the Mingyue Mountain Tunnel project suggests that this method is capable of interpreting the size of water-filled caves and it is valid for a narrow tunnel face with only a single available measurement point. The proposed iterative inversion method can be used alone or in combination with other detection techniques, thereby providing engineers with a better early warning system for detecting water-filled caves in tunnels.


2010 ◽  
Vol 113-116 ◽  
pp. 347-350
Author(s):  
Li Zhang ◽  
Bai Yao Ruan ◽  
Rong Zhong Jing ◽  
Fang Fang Yang

In the mountains area, we have to solve the problem that how to select appropriate method, accurately and effectively explore the burial condition and location of the deep mineral ore with complex terrain. Advanced and Convenient high-frequency magnetotelluric (HF-MT) sounding system Stratagem EH- 4 was applied to electromagnetic array profile survey in target mining area of northern Guangxi. Bostick and Rapid Relaxation Iterative inversion method were used to interpret the observational data, and it has been verified by the mine works that location of faults and orebodies marked by resulting images are tally with the real geological conditions, which provide resource base for the continued production of the mine. This measurement technique and interpretation method should be popularized and applied in mineral resources exploration, especially in mountains area.


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