Richards equation for the assessment of landslide hazards
In this work, we study the numerical simulation models for water ow in variably saturated (unsaturated) soils. These models are fundamental tools for the problems in soil related disciplines and water related risks analysis. In recent years, it is requisite to study the water resource management sy...
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Department of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan University
2025-01-01
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| Series: | Bibechana |
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| Online Access: | https://www.nepjol.info/index.php/BIBECHANA/article/view/65508 |
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| author | Ramesh Chandra Timsina |
| author_facet | Ramesh Chandra Timsina |
| author_sort | Ramesh Chandra Timsina |
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In this work, we study the numerical simulation models for water ow in variably saturated (unsaturated) soils. These models are fundamental tools for the problems in soil related disciplines and water related risks analysis. In recent years, it is requisite to study the water resource management system and soil water related disasters and agricultural with global environmental eect. Numerous simulation models are widely used for modeling of water ow in porous media especially in unsaturated soils, among them
Richards equation is the most important model. It is a highly nonlinear parabolic PDE with rare analytic solutions adopting particular cases occurring less accuracy. Therefore a novel and robust numerical approximation is essential for the simulation of the model. We introduce a numerical procedure by linearizing the model equation with the help of Kirchho integral transformation and discretize with dierent time stepping schemes. We interconnect the solution of the equation for the assessment of the landslide hazards. A hydrological model of innite slope stability is adopted to the solution of axi symmetrical form of Richards equation to nd the factor of safety, which helps to locate the potential landslide area in geological surface. Also, prediction of landslide can be made depending on the physical, geological, and topographical structure of the landscape.
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| format | Article |
| id | doaj-art-23a6f25c45db42babce08faed38abeae |
| institution | Kabale University |
| issn | 2091-0762 2382-5340 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Department of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan University |
| record_format | Article |
| series | Bibechana |
| spelling | doaj-art-23a6f25c45db42babce08faed38abeae2025-01-27T13:14:23ZengDepartment of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan UniversityBibechana2091-07622382-53402025-01-01221Richards equation for the assessment of landslide hazardsRamesh Chandra Timsina0Department of Mathematics, Patan Multiple Campus, Tribhuvan University, Kathmandu In this work, we study the numerical simulation models for water ow in variably saturated (unsaturated) soils. These models are fundamental tools for the problems in soil related disciplines and water related risks analysis. In recent years, it is requisite to study the water resource management system and soil water related disasters and agricultural with global environmental eect. Numerous simulation models are widely used for modeling of water ow in porous media especially in unsaturated soils, among them Richards equation is the most important model. It is a highly nonlinear parabolic PDE with rare analytic solutions adopting particular cases occurring less accuracy. Therefore a novel and robust numerical approximation is essential for the simulation of the model. We introduce a numerical procedure by linearizing the model equation with the help of Kirchho integral transformation and discretize with dierent time stepping schemes. We interconnect the solution of the equation for the assessment of the landslide hazards. A hydrological model of innite slope stability is adopted to the solution of axi symmetrical form of Richards equation to nd the factor of safety, which helps to locate the potential landslide area in geological surface. Also, prediction of landslide can be made depending on the physical, geological, and topographical structure of the landscape. https://www.nepjol.info/index.php/BIBECHANA/article/view/65508Richards equation Moisture content infinite sloe model Landslide hazards Factor of safety |
| spellingShingle | Ramesh Chandra Timsina Richards equation for the assessment of landslide hazards Bibechana Richards equation Moisture content infinite sloe model Landslide hazards Factor of safety |
| title | Richards equation for the assessment of landslide hazards |
| title_full | Richards equation for the assessment of landslide hazards |
| title_fullStr | Richards equation for the assessment of landslide hazards |
| title_full_unstemmed | Richards equation for the assessment of landslide hazards |
| title_short | Richards equation for the assessment of landslide hazards |
| title_sort | richards equation for the assessment of landslide hazards |
| topic | Richards equation Moisture content infinite sloe model Landslide hazards Factor of safety |
| url | https://www.nepjol.info/index.php/BIBECHANA/article/view/65508 |
| work_keys_str_mv | AT rameshchandratimsina richardsequationfortheassessmentoflandslidehazards |