Abstract
The SMPR (Soil Moisture and Potential Recharge) model is developed to simulate soil moisture content and potential recharge under semi-arid conditions. In SMPR model, infiltration and soil moisture redistribution follow two successive stages. In stage (I), precipitation infiltrates and is distributed into the soil profile utilizing the soil moisture accounting fashion and in stage (II), moisture is redistributed using simplified Richards’ equation (neglecting matric-potential gradient). Liquid and vapor evaporation from bare soil are estimated based on Dual-Crop methodology [Ke and optimized Kcb (0.17)]. Two commonly applied unsaturated hydraulic conductivity functions [K(θ)] of B-C (Brooks and Corey) and V-G (van-Genuchten); and an Empirical Exponential (E-E) equation are locally calibrated and used for potential recharge estimation (as main simulation objective). Model performance (calibration/validation) is based on reasonable estimation of potential recharge and acceptable simulation of soil moisture, considering local lysimeter data. According to results, B-C, V-G an E-E equations produced acceptable simulation of soil moisture content (NRMSE < 30%), however, potential recharge was underestimated/overestimated, using K(θ) by B-C/V-G. The best estimation of potential recharge (based on absolute annual recharge error, ∆Q < 10%) was achieved by the SMPR model with K(θ) of E-E. Results of the relative simple SMPR model [K(θ) by E-E equation] compared favorably with HYDRUS-1D sophisticated model [using locally calibrated V-G equation of K(θ)].The proposed SMPR model requiring minimal data, can be used in regions with limited data.
Similar content being viewed by others
References
Allen R, Pereira LS, Raes D, Smith M (1998) Crop evapotranspiration-guidelines for computing crop water requirements-FAO irrigation and drainage paper 56. FAO, Rome
Anderson MP, Woessner WW, Hunt RJ (2015) Applied groundwater modeling: simulation of flow and advective transport. Academic press
Banimahd SA, Zand-Parsa S (2013) Simulation of evaporation, coupled liquid water, water vapor and heat transport through the soil medium. Agric Water Manag 130:168–177
Banimahd SA, Khalili D, Kamgar-Haghighi AA, Zand-Parsa S (2014) Evaluation of groundwater potential recharge models considering estimated bare soil evaporation, in a semi-arid foothill region. Hydrol Sci J 61(1):162–172
Banimahd SA, Khalili D, Kamgar-Haghighi AA, Zand-Parsa S (2015) Evapotranspiration model selection for estimation of actual evaporation from bare soil, as required in annual potential groundwater recharge studies of a semi-arid foothill region. Arch Agron Soil Sci 61(10):1455–1472
Beven KJ (2011) Rainfall-runoff modelling: the primer. Wiley
Bresler E, Russo D, Miller RD (1978) Rapid estimate of unsaturated hydraulic conductivity function. Soil Sci Soc Am J 42(1):170–172
Brooks RH, Corey AT (1964) Hydraulic properties of porous media. Colorado State University. 27 p
Carsel RF, Parrish RS (1988) Developing joint probability distributions of soil water retention characteristics. Water Resour Res 24:755–769
Cooper JD (2016) Soil water measurement: a practical handbook. Wiley
Herbst M, Fialkiewicz W, Chen T, Putz T, Thiery D, Mouvet C, Vachaud G, Vereecken H (2005) Intercomparison of flow and transport models applied to vertical drainage in cropped lysimeters. Vadose Zone J 4:240–254
Hillel D (1998) Environmental soil physics. Academic Press, London, 771 p
Jamieson PD, Porter JD, Wilson DR (1991) A test of computer simulation model ARC-WHEAT1 on wheat crops grown in New Zealand. Field Crop Res 27:337–350
Kendy E, Gérard-Marchant P, Walter MT, Zhang Y, Liu C, Steenhuis TS (2003) A soil-water-balance approach to quantify groundwater recharge from irrigated cropland in the North China Plain. Hydrol Process 17(10):2011–2031
Kuo WL, Steenhuis TS, McCulloch CE, Mohler CL, Weinstein DA, DeGloria SD, Swaney DP (1999) Effect of grid size on runoff and soil moisture for a variable source area hydrology model. Water Resour Res 35(11):3419–3428
Kuraz M, Mayer P, Pech P (2014) Solving the nonlinear Richards equation model with adaptive domain decomposition. J Comput Appl Math 270:2–11
Lerner DN, Issar AS, Simmers I (1990) Groundwater recharge. A guide to understanding and estimating natural recharge, international contributions to hydrogeology. Verlag Heinz Heise. 345 p
Loveday J (1974) Methods for Analysis of Irrigated Soils. Technical Communication 54, Commonwealth Bureau of Soils, Harpenden
Mahbod M, Zand-Parsa S (2010) Prediction of soil hydraulic parameters by inverse method using genetic algorithm optimization under field conditions. Arch Agron Soil Sci 56(1):13–28
Mathias SA, Skaggs TH, Quinn SA, Egan SN, Finch LE, Oldham CD (2015) A soil moisture accounting‐procedure with a Richards’ equation‐based soil texture‐dependent parameterization. Water Resour Res 51(1):506–523
Mualem Y (1976) A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour Res 12(3):513–522
Pollacco JAP, Ugald JAS, Angulo-Jaramillo R, Braud I, Saugier B (2008) A Linking Test to reduce the number of hydraulic parameters necessary to simulate groundwater recharge in unsaturated soils. Adv Water Resour 31:355–369
Rawls WJ, Brakensiek DL, Saxton KE (1982) Estimation of soil water properties. Trans ASAE 25(5):1316–1320
Russo D, Bresler E (1980) Scaling soil hydraulic properties of a heterogeneous field soil. Soil Sci Am J 44(4):681–684
Saito H, Simunek J, Mohanty BP (2006) Numerical analysis of coupled water, vapor, and heat transport in the vadose zone. Vadose Zone J 5:784–800
Sanford W (2002) Recharge and groundwater models: an overview. Hydrogeol J 10(1):110–120
Simunek J, van Genuchten MT, Sejna M (2005) The HYDRUS-1D software package for simulating the one-dimensional movement of water, heat, and multiple solutes in variably-saturated media. Univ Calif-Riverside Res Rep 3:1–240
Theodossiou N (2016) Assessing the impacts of climate change on the sustainability of groundwater aquifers. Application in Moudania Aquifer in N. Greece. Environ Process 3(4):1045–1061
van Genuchten MT (1980) A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J 44(5):892–898
Wechsler SP (2007) Uncertainties associated with digital elevation models for hydrologic applications: a review. Hydrol Earth Syst Sci 11(4):1481–1500
Willmott CJ (1981) On the validation of models. Phys Geogr 2:184–194
Zand-Parsa S, Majnooni-Herris A, Sepaskhah AR, Nazemosadat MJ (2011) Modification of angstrom model for estimation of global solar radiation in an Intermountain Region of Southern Iran. Energy Environ 22(7):911–924
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Banimahd, S.A., Khalili, D., Zand-Parsa, S. et al. Development of a Simulation Model for Estimation of Potential Recharge in a Semi-arid Foothill Region. Water Resour Manage 31, 1535–1556 (2017). https://doi.org/10.1007/s11269-017-1593-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11269-017-1593-x