Russian Federation
Estimation of groundwater recharge from rainfall is a key factor for determining groundwater resources in water development and management for supporting sustainable socio-economic development, especially for arid areas. The paper presents finite element modeling in the simulation of moisture transfer in unsaturated soils through the relationship between soil moisture, soil suction, unsaturated permeability and soil-moisture dispersivity. Those parameters required for soil moisture transfer are derived from the soil-water characteristic curve functions. Element sizes and time steps used in the modelling have been selected based on a detailed analysis of numerical simulation errors. The methodology had been applied to arid coastal plain area of Ninh Thuan province, Vietnam. Five subsurface soil types in the study area have been collected and analyzed, for saturated permeability, porosity, saturated soil water content, field moisture content, etc. Hourly rainfall data of the years 2014–2018 have been analyzed and grouped into different-duration rainfall events (1-hour, 2-hour, 3-hour and so on). The different rainfall durations and depths of rainfall events and temporal infiltration determined by the moisture transfer modelling have allowed determining the groundwater recharge from the rainfall data. The results show that during the rainy months from May to December 2014–2018, the groundwater recharge from the rainfall is very varying through the modeled soil profiles, from 0.280 m (silty clay) to 0.470 m (sandy silt), which is equivalent to 33.3%–55.2% of the rainfall depth during May–December. Lower infiltration in silty clay is due to low permeability and in the sand is due to low suction, and higher infiltration in silt and sandy silt is thanks to their higher moisture dispersivity. On average, in terms of annual rainfall and soil properties, the average infiltration during May–December is 0.380 m which is equivalent to 44.9% of the rainfall depth, which is about 289 x 106 m3 of rainwater infiltrated into the Quaternary aquifer over 760 km2 of the coastal plain of Ninh Thuan province. The results would be very useful for effective water resources development and management in a given specific hydrogeological condition for such a severe drought area where water is extremely essential.
tropical savannah climate, drought, moisture transfer, finite element (FE), higher-order element function
1. Bear, J., Computer-Mediated, Distance Learning Course on Modeling Groundwater Flow and Contaminant Transport, Topic D: Modeling Flow in the Unsaturated Zone, WebPage, 2000.
2. Beck, H. E., N. E. Zimmermann, T. R. McVicar, N. Vergopolan, A. Berg, and E. F. Wood, Present and Future Köppen-Geiger Climate Classification Maps at 1-km Resolution, Sci Data, 5, 18,021, doihttps://doi.org/10.1038/sdata.2018.214, 2018.
3. Brooks, R. H., and A. T. Corey, Hydraulic Properties of the Porous Medium, Colorado State University (Fort Collins), Hydrology Paper, Nr., 3, 1964.
4. Brutsaert, W., Probability Laws for Pore-Size Distributions, Soil Science, 101(2), 85-92, 1966.
5. Carrera-Hernández, J. J., B. D. Smerdon, and C. A. Mendoza, Estimating Groundwater Recharge Through Unsaturated Flow Modelling: Sensitivity to Boundary Conditions and Vertical Discretization, Journal of Hydrology, 452-453, 90-101, 2012.
6. DARD, The Effect of the Pedologic Features of Agricultural Soils on the Quality of Ninh Thuan Grape, Ninh Thuan Department of Agriculture and Rural Development, 2017.
7. Fredlund, D. G., and A. Xing, Equations for the SoilWater Characteristic Curve, Canadian Geotechnical Journal, 31(3), 521-532, 1994.
8. Fredlund, D. G., A. Xing, and S. Huang, Predicting the Permeability Function for Unsaturated Soils Using the Soil-Water Characteristic Curve, Canadian Geotechnical Journal, 31, 533-546, 1994.
9. Fredlund, D. G., S. Daichao, and Z. Jidong, Estimation of soil suction from the soil-water characteristic curve, Canadian Geotechnical Journal, 48, 186-198, 2011.
10. Gardner, W. R., Water Movement Below the Root Zone, in Proc 8th Int Congr Soil Sci, RompresFilatelia, Bucharest, 1964.
11. van Genuchten, M. T., A Closed-form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils, Soil Science Society of America Journal, 44(5), 892-898, doihttps://doi.org/10.2136/sssaj1980.03615995004400050002x, 1980.
12. Geo-Slope, Seepage Modeling with SEEP/W, an Engineering Methodology, 2015.
13. Gilding, B. H., Qualitative Mathematical Analysis of the Richards Equation, Transport in Porous Media, 6, 651- 666, 1991.
14. Green, W. H., and G. Ampt, Study on Soil Physics-1 the Flow of Air and Water Through Soils, The Journal of Agricultural Science, 4(1), 1-24, doihttps://doi.org/10.1017/S0021859600001441, 1911.
15. Hai, T. T., Study and Assessment of Modern Geo-Tectonics of Vietnam Central Region and its Role in Natural Hazards for Predicting and Preventing Hazards in the Context of Climate Change, National Target Program KHCN-BDKH/11-15, 2015.
16. Hoang, N. V., On the Economics of Underground Dike to Protect Groundwater Salinization into Groundwater Abstraction Facilities in the Coastal Areas, Vietnam Journal of Agriculture and Rural Development, pp. 54-55, 2005.
17. Hoang, N. V., T. N. Thanh, N. D. Roi, T. D. Huy, and T. T. Tung, The Potential of Desalination of Brackish Groundwater Aquifer Thanks to Salt-Intrusion Prevention River Gates in the Red River Delta, Vietnam, pp. 2747-2771, doihttps://doi.org/10.1007/s10668-017-0014x, 2018.
18. Horton, R. E., Analysis of Runoff Plat Experiments With Varying Infiltration Capacity, Eos, Transactions American Geophysical Union, 20(4), 693-711, doihttps://doi.org/10.1029/TR020i004p00693, 1939.
19. Huyakorn, P. S., and G. F. Pinder, Computational Method in Subsurface Flow, Elsevier, Academic Press Inc., doihttps://doi.org/10.1016/c2012-0-01564-5, 473 pages, 1983.
20. Jacobs, Water Efficiency Improvement in Drought Affected Provinces in the Central Coast and Central Highlands of Vietnam, Tech. rep., 2017.
21. Kinzelbach, W., W. Aeschbach, C. Alberich, I. B. Goni, U. Beyerle, P. Brunner, W.-H. Chiang, J. Rueedi, and K. Zoellmann, A Survey of Methods for Groundwater Recharge in Arid and Semi-Arid Regions. Early Warning and Assessment Report Series, UNEP/DEWA/RS.022, United Nations Environment Programme, Nairobi, Kenya, 2002.
22. Kunze, R. J., G. Uehara, and K. Graham, Factors Important in the Calculation of Hydraulic Conductivity, Soil Science Society of America Journal, 32(6), 760-765, doihttps://doi.org/10.2136/sssaj1968.03615995003200060020x, 1968.
23. Leong, E. C., and H. Rahardjo, Permeability Functions for Unsaturated Soils, Journal of Geotechnical and Geoenvironmental Engineering, 123(12), 1118-1126, doihttps://doi.org/10.1061/(ASCE)1090-0241(1997)123:12(1118), 1997.
24. Loan, T. T., Strategic Environmental Assessment for the Reviewing and Amending the Up to the Year of 2025 and 2030 - Vision Agricultural and Rural Planning of the Southern Central Region of Vietnam in the Context of Climate Change, National Institute of Agricultural Planning and Projection - MARD, 2018.
25. McKee, C. R., and A. C. Bumb, The Importance of Unsaturated Flow Parameters in Designing a Monitoring System for Hazardous Wastes and Environmental Emergencies, in Proceedings of the Hazardous Materials Control Research Institute, National Conference, pp. 50-58, 1984.
26. McKee, C. R., and A. C. Bumb, Flow-Testing Coalbed Methane Production Wells in The Presence of Water and Gas, SPE formation Evaluation, 2(04), 599-608, 1987.
27. MONRE, QCVN09-MT:2015/BTNMT: National Technical Regulation on Groundwater Quality, Tech. rep., Ministry of Natural Resources and Environment, 2015.
28. Nie, W.-B., Y.-B. Li, L.-J. Fei, and X.-Y. Ma, Approximate Explicit Solution to the Green-Ampt Infiltration Model for Estimating Wetting Front Depth, Water, 9(8), doihttps://doi.org/10.3390/w9080609, 2017.
29. Philip, J. R., The Theory of Infiltration. 4. Sorptivity and Algebraic Infiltration Equations, Soil Science, 84, 257- 264, 1957.
30. Philip, J. R., Theory of Infiltration, pp. 215-296, Elsevier, doihttps://doi.org/10.1016/B978-1-4831-9936-8.50010-6, 1969.
31. Polubarinova-Kochina, P. Y., Theory of Groundwater Movement, Moscow, U.S.S.R.: Nauka. (In Russian), 1977.
32. Richards, L. A., Capillary Conduction of Liquids Through Porous Mediums, Physics, 1(5), 318-333, doihttps://doi.org/10.1063/1.1745010, 1931.
33. Sam, L., and N. D. Vuong, The Selection to Research Formula of Drought Index and Applying to Calculate Droughty Frequency in Ninh Thuan Province, in Proceedings of 2008 Southern Vietnam Water Resources Academy Scientific and Technology Works, 2008.
34. Son, H. T., Study of Water Resources of the Desertification Area of Ninh Thuan Province in The Context of Climate Change and Proposal of Adaptive Measures, Ph.D. thesis, Vietnam Academy of Science and Technology, 2016.
35. Tarboton, D. G., Rainfall-Runoff Processes, Utah State University, 2003.
36. Tu, N. T., et al., Hydrogeological Mapping at 1:50000 Scale of Ninh Thuan and Binh Thuan Province, Tech. rep., Division for Water Resources Planning and Investigation for the Central Region of Vietnam, 2016.
37. UNEP, World Atlas of Desertification, 2nd ed., p. 182, London, UNEP, 1997.
38. VNCSCNDP&C, Report on Drought, Salinization and Prevention Measures for UN Meeting, Vietnam Central Steering Committee for Natural Disaster Prevention and Control, 2016.
39. Zienkiewics, O. C., and K. Morgan, Finite Elements and Approximation, 283-289 pp., John Willey & Sons.