Effect of Displacement Current on the Finite-Difference Modeling of Natural Source Electromagnetic Diffusion
Abstract
:1. Introduction
2. Materials and Methods
2.1. Basic Theory
2.2. Finite-Difference Discretization
3. Results
3.1. Simple 1D Models
3.2. 3D Flat Model
3.3. Models with Topography
3.3.1. Canyon Model
3.3.2. Steep Hill Model
4. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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f (Hz) | σ (S/m) | σ/ωε | σ (S/m) | σ/ωε |
---|---|---|---|---|
1 × 10−1 | 1 × 10−2 | 1.8 × 109 | 1 × 10−6 | 1.8 × 105 |
1 × 100 | 1 × 10−2 | 1.8 × 108 | 1 × 10−6 | 1.8 × 104 |
1 × 101 | 1 × 10−2 | 1.8 × 107 | 1 × 10−6 | 1.8 × 103 |
1 × 102 | 1 × 10−2 | 1.8 × 106 | 1 × 10−6 | 1.8 × 102 |
1 × 103 | 1 × 10−2 | 1.8 × 105 | 1 × 10−6 | 1.8 × 101 |
1 × 104 | 1 × 10−2 | 1.8 × 104 | 1 × 10−6 | 1.8 × 100 |
1 × 10−1 | 1 × 10−4 | 1.8 × 107 | 1 × 10−8 | 1.8 × 103 |
1 × 100 | 1 × 10−4 | 1.8 × 106 | 1 × 10−8 | 1.8 × 102 |
1 × 101 | 1 × 10−4 | 1.8 × 105 | 1 × 10−8 | 1.8 × 101 |
1 × 102 | 1 × 10−4 | 1.8 × 104 | 1 × 10−8 | 1.8 × 100 |
1 × 103 | 1 × 10−4 | 1.8 × 103 | 1 × 10−8 | 1.8 × 10-1 |
1 × 104 | 1 × 10−4 | 1.8 × 102 | 1 × 10−8 | 1.8 × 10-2 |
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Xue, Y.; Liu, J.; Liu, R.; Liu, Z.; Guo, R.; Cao, C. Effect of Displacement Current on the Finite-Difference Modeling of Natural Source Electromagnetic Diffusion. Appl. Sci. 2020, 10, 2744. https://doi.org/10.3390/app10082744
Xue Y, Liu J, Liu R, Liu Z, Guo R, Cao C. Effect of Displacement Current on the Finite-Difference Modeling of Natural Source Electromagnetic Diffusion. Applied Sciences. 2020; 10(8):2744. https://doi.org/10.3390/app10082744
Chicago/Turabian StyleXue, Yahui, Jianxin Liu, Rong Liu, Zhuo Liu, Rongwen Guo, and Chuanghua Cao. 2020. "Effect of Displacement Current on the Finite-Difference Modeling of Natural Source Electromagnetic Diffusion" Applied Sciences 10, no. 8: 2744. https://doi.org/10.3390/app10082744