Modeling of Transient Flow in Unsaturated Geomaterials for Rainfall-Induced Landslides Using a Novel Spacetime Collocation Method
The modeling of transient flow in unsaturated soils for rainfall-induced landslides using a novel spacetime collocation method is presented. A numerical solution obtained in the spacetime coordinate system is approximated by superpositioning Trefftz basis functions satisfying the linearized Richards...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Geofluids |
| Online Access: | http://dx.doi.org/10.1155/2018/7892789 |
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| author | Cheng-Yu Ku Chih-Yu Liu Yan Su Jing-En Xiao |
| author_facet | Cheng-Yu Ku Chih-Yu Liu Yan Su Jing-En Xiao |
| author_sort | Cheng-Yu Ku |
| collection | DOAJ |
| description | The modeling of transient flow in unsaturated soils for rainfall-induced landslides using a novel spacetime collocation method is presented. A numerical solution obtained in the spacetime coordinate system is approximated by superpositioning Trefftz basis functions satisfying the linearized Richards equation for collocation points on the spacetime domain boundary. The Gardner exponential model is adopted to derive the linearized Richards equation to describe the soil-water characteristic curve in unsaturated soils. To deal with the rainfall-induced landslides, the infinite slope stability analysis coupled with the proposed meshless method with the consideration of the fluctuation of time-dependent matric suction is developed. The proposed method is validated for several test problems. Application examples of transient modeling of flow for rainfall-induced landslides in homogenous unsaturated soils are also conducted. Numerical results demonstrate that the proposed method is highly accurate to deal with transient flow in unsaturated soils for rainfall-induced landslides. In addition, it is found that the numerical method using the Richards equation with the Gardner model may provide a promising solution for different soil textures. |
| format | Article |
| id | doaj-art-957a1eea135b40ca850a8345d4ef6924 |
| institution | OA Journals |
| issn | 1468-8115 1468-8123 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Geofluids |
| spelling | doaj-art-957a1eea135b40ca850a8345d4ef69242025-08-20T02:10:05ZengWileyGeofluids1468-81151468-81232018-01-01201810.1155/2018/78927897892789Modeling of Transient Flow in Unsaturated Geomaterials for Rainfall-Induced Landslides Using a Novel Spacetime Collocation MethodCheng-Yu Ku0Chih-Yu Liu1Yan Su2Jing-En Xiao3Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung 20224, TaiwanDepartment of Harbor and River Engineering, National Taiwan Ocean University, Keelung 20224, TaiwanDepartment of Water Resource and Harbor Engineering, College of Civil Engineering, Fuzhou University, Fuzhou, ChinaDepartment of Harbor and River Engineering, National Taiwan Ocean University, Keelung 20224, TaiwanThe modeling of transient flow in unsaturated soils for rainfall-induced landslides using a novel spacetime collocation method is presented. A numerical solution obtained in the spacetime coordinate system is approximated by superpositioning Trefftz basis functions satisfying the linearized Richards equation for collocation points on the spacetime domain boundary. The Gardner exponential model is adopted to derive the linearized Richards equation to describe the soil-water characteristic curve in unsaturated soils. To deal with the rainfall-induced landslides, the infinite slope stability analysis coupled with the proposed meshless method with the consideration of the fluctuation of time-dependent matric suction is developed. The proposed method is validated for several test problems. Application examples of transient modeling of flow for rainfall-induced landslides in homogenous unsaturated soils are also conducted. Numerical results demonstrate that the proposed method is highly accurate to deal with transient flow in unsaturated soils for rainfall-induced landslides. In addition, it is found that the numerical method using the Richards equation with the Gardner model may provide a promising solution for different soil textures.http://dx.doi.org/10.1155/2018/7892789 |
| spellingShingle | Cheng-Yu Ku Chih-Yu Liu Yan Su Jing-En Xiao Modeling of Transient Flow in Unsaturated Geomaterials for Rainfall-Induced Landslides Using a Novel Spacetime Collocation Method Geofluids |
| title | Modeling of Transient Flow in Unsaturated Geomaterials for Rainfall-Induced Landslides Using a Novel Spacetime Collocation Method |
| title_full | Modeling of Transient Flow in Unsaturated Geomaterials for Rainfall-Induced Landslides Using a Novel Spacetime Collocation Method |
| title_fullStr | Modeling of Transient Flow in Unsaturated Geomaterials for Rainfall-Induced Landslides Using a Novel Spacetime Collocation Method |
| title_full_unstemmed | Modeling of Transient Flow in Unsaturated Geomaterials for Rainfall-Induced Landslides Using a Novel Spacetime Collocation Method |
| title_short | Modeling of Transient Flow in Unsaturated Geomaterials for Rainfall-Induced Landslides Using a Novel Spacetime Collocation Method |
| title_sort | modeling of transient flow in unsaturated geomaterials for rainfall induced landslides using a novel spacetime collocation method |
| url | http://dx.doi.org/10.1155/2018/7892789 |
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