Numerical method for the simultaneous determination of the hydraulic properties of unsaturated porous media |
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| Institution: | 1. NASA Langley Research Center, United States;2. National Institute of Aerospace, United States;1. Aquanty Inc., 564 Weber St. N, Unit 2. Waterloo, Ontario, N2L 5C6, Canada;2. Department of Geography and Environmental Management, University of Waterloo, 200 University Ave W. Waterloo, Ontario, N2L 3G1, Canada;3. Department of Earth and Environmental Sciences, University of Waterloo, 200 University Ave W. Waterloo, Ontario, N2L 3G1, Canada;1. College of Power and Energy Engineering, Harbin Engineering University, Harbin, 150001, China;2. Sino-French Institute of Nuclear Engineering and Technology, Sun Yat-Sen University, Zhuhai, 519082, China;1. State Key Laboratory of Frozen Soil Engineering, Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou 730000, China;2. University of Chinese Academy of Sciences, Beijing 100049, China;3. School of Civil Engineering, Qinghai University, Xining 810016, China |
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| Abstract: | This paper presents a numerical algorithm for solving the inverse coefficient problem for nonlinear parabolic equations. This problem arises in simultaneous determination of the hydraulic properties of unsaturated porous media from a simple outflow experiment. The novel feature of the method is that it is not based on output least squares. In this method, the unknown functions are represented as polygons (continuous and piecewise linear functions) every new linear pieces that are determined in each time step by using information based only on previous time intervals. The results of some numerical experiments are displayed. |
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