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Stochastic groundwater modeling of a sedimentary aquifer: evaluation of the impacts of abstraction scenarios under conditions of reduced recharge

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Abstract

A transient finite difference groundwater flow model has been calibrated for the Nasia sub-catchment of the White Volta Basin. This model has been validated through a stochastic parameter randomization process and used to evaluate the impacts of groundwater abstraction scenarios on resource sustainability in the basin. A total of 1500 equally likely model realizations of the same terrain based on 1500 equally likely combinations of the data of the key aquifer input parameters were calibrated and used for the scenario analysis. This was done to evaluate model non-uniqueness arising from uncertainties in the key aquifer parameters especially hydraulic conductivity and recharge by comparing the realizations and statistically determining the degree to which they differ from each other. Parameter standard deviations, computed from the calibrated data of the key parameters of hydraulic conductivity and recharge, were used as a yardstick for evaluating model non-uniqueness. All model realizations suggest horizontal hydraulic conductivity estimates in the range of 0.03–78.4 m/day, although over 70 % of the area has values in the range of 0.03–14 m/day. Low standard deviations of the horizontal hydraulic conductivity estimates from the 1500 solutions suggest that this range adequately reflects the properties of the material in the terrain. Lateral groundwater inflows and outflows appear to constitute significant components of the groundwater budgets in the terrain, although estimated direct vertical recharge from precipitation amounts to about 7 % of annual precipitation. High potential for groundwater development has been suggested in the simulations, corroborating earlier estimates of groundwater recharge. Simulation of groundwater abstraction scenarios suggests that the domain can sustain abstraction rates of up to 200 % of the current estimated abstraction rates of 12,960 m3/day under the current recharge rates. Decreasing groundwater recharge by 10 % over a 20-year period will not significantly alter the results of this abstraction scenario. However, increasing abstraction rates by 300 % over the period with decreasing recharge by 10 % will lead to drastic drawdowns in the hydraulic head over the entire terrain by up to 6 m and could cause reversals of flow in most parts of the terrain.

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References

  • Acar Ӧ et al (2013) A stochastic model for estimation groundwater and contaminant discharges from fractured rock passive flux meter measurements. Water Resour Res 49:1–15

    Article  Google Scholar 

  • Addai OM et al (2015) Groundwater recharge processes in the Nasia sub-catchment of the White Volta Basin: analysis of porewater characteristics in the unsaturated zone. J Afr Earth Sci. doi:10.1016/j.jafrearsci.2015.04.006

    Google Scholar 

  • Adu SV (1995) Soils of the Nasia river basin northern region of Ghana. Soil research Institute (Council for Scientific and Industrial Research), Academy Post Office, Kwadaso-Kumasi, Ghana

    Google Scholar 

  • Aquaveo (2014) GMS 10.0 tutorial: MODFLOW—stochastic modeling, parameter randomization. Aquaveo, Provo, Utah

    Google Scholar 

  • Amisigo BA et al (2015) Modeling impact of climate change on water resources and agriculture demand in the Volta Basin and other basin systems in Ghana. Sustainability 7:6957–6975

    Article  Google Scholar 

  • Anderson MP, Woessner WW (1992) Applied groundwater modeling. Academic Press, San Diego, CA, USA

    Google Scholar 

  • Anderson MP, Woessner WW (2002) Applied groundwater modeling. Academic Press, San Diego, CA, USA

    Google Scholar 

  • Attandoh N et al (2013) Conceptualization of the hydrogeological system of some sedimentary aquifers in Savelugu–Nanton and surrounding areas, Northern Ghana. Hydrol Process 27:1664–1676. doi:10.1002/hyp.9308

    Article  Google Scholar 

  • Awotwi A et al (2015) Predicting hydrological response to climate change in the White Volta Catchment, West Africa. Earth Sci Clim Chang 6:1–7

    Google Scholar 

  • Baalousha H, Kӧngeter J (2006) Stochastic modelling and risk analysis of groundwater pollution using FORM coupled with automatic differentiation. Adv Water Resour 29:1815–1832

    Article  Google Scholar 

  • Boronina A et al (2003) Groundwater resources in the Kouris catchment (Cyprus): data analysis and numerical modeling. J Hydrol 271:130–149

    Article  Google Scholar 

  • Bozhko, N.A., (1973). Upper Precambrian intracratonic folded zones and a cover of basins. In: Katz J, Vysotsky IV, Khain VE (eds) Geology and mineral resources of Africa “Nedra,” 227–276 (in Russian)

  • Brammer H (1967) Soils of the Accra Plains. Soil Research Institute. C.S. I. R. Memoir No. 3, Ghana

    Google Scholar 

  • Dapaah-Siakwan S, Gyau-Boakye P (2000) Hydrological framework and borehole yields in Ghana. Hydrogeol J 8:405–416

    Article  Google Scholar 

  • Dickson, K.A., and Benneh, G., 1995. A new geography of Ghana. Revised Edition, 2nd Edition. Longman Group UK Ltd. p. 17–29

  • Ghana Statistical Services GSS (2012) 2010 population and housing census: summary report of the final results. Ghana Statistical Services, Accra, Ghana

    Google Scholar 

  • Harbaugh, A.W., et al. (2000) MODFLOW-2000, the U.S. Geological Survey modular ground-water model, Open File Rep. 00-92. U.S. Geol. Surv

  • Hu L et al (2011) Simulation of groundwater flow within observation boreholes for confined aquifers. J Hydrol 398:101–108

    Article  Google Scholar 

  • Khan S et al (2008) Hydrogeologic assessment of escalating groundwater exploitation in the Indus Basin, Pakistan. Hydrogeol J 16:1635–1654

    Article  Google Scholar 

  • Kranjac-Berisavljevic G (1999) Recent climatic trends in northern interior savannah zone of Ghana; implication for agricultural production. A paper presented at the International Conference on Integrated Drought Management, 20–22 September 1999, Pretoria South Africa

  • Kunstmann H, Jung G (2005) Impacts of regional climate change on water availability in the Volta basin of West Africa. Regional Hydrological Impacts of Climatic Variability’ Proceedings of symposium S6 held during the Seventh IAHS Scientific Assembly IAHS Publ 295:1–11

    Google Scholar 

  • Lambert PM (1995) Numerical simulation of ground-water flow in basin-fill material in Salt Lake Valley, Utah. Utah Department of Natural Resources Technical Publication 110-B, 58 p

  • Li S-G et al (2003) A computationally practical method for stochastic groundwater modelling. Adv Water Resour 26:1137–1148

    Article  Google Scholar 

  • Qi W et al (2016) Quantifying dynamic sensitivity of optimization algorithm parameters to improve hydrological model calibration. J Hydrol 533:213–223

    Article  Google Scholar 

  • Sreekanth J et al (2016) Pareto-based efficient stochastic simulation-optimization for robust and reliable groundwater management. J Hydrol 533:180–190

    Article  Google Scholar 

  • Tonkin M, Doherty J (2009) Calibration-constrained Monte Carlo analysis of highly parameterized models using subspace techniques. Water Resour Res 45(12)

  • Wondzell et al (2009) Evaluation of alternative groundwater flow models for simulating hyporheic exchange in a small mountain stream. J Hydrol 364:142–151

    Article  Google Scholar 

  • Yidana SM (2011) Groundwater flow modeling and particle tracking for chemical transport in the southern Voltaian, aquifers, Ghana. J Environ Earth Sci 63(4):709–721. doi:10.1007/s12665-010-0740-y

    Article  Google Scholar 

  • Yidana SM et al. (2010) Wetlands in Northern Salt Lake Valley, Salt Lake County, Utah—an evaluation of the threats posed by ground-water development and drought. A Report on investigation 268, Utah Geological Survey, Salt Lake City Utah

  • Yidana SM, Koffie E (2014) The groundwater recharge regime of some slightly metamorphosed Neoproterozoic sedimentary rocks: an application of natural environmental tracers. Hydrol Process. doi:10.1002/hyp.9859

    Google Scholar 

  • Yidana SM et al (2014) Simulation of groundwater flow in a crystalline rock aquifer system in Southern Ghana—an evaluation of the effects of increased groundwater abstraction on the aquifers using a transient groundwater flow model. Hydrol Process 28:1084–1094

    Article  Google Scholar 

  • Yidana, SM et al (2015).Estimation of evapotranspiration losses in the vadose zone using stable isotopes and chloride mass balance method. Environ. Earth Sci 75(3):1–18

  • Zhang Q et al (2004) Numerical investigation of seawater intrusion at the Gooburrum, Bundaberg, Queensland, Australia. Hydrogeol J 12:674–687

    Article  Google Scholar 

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Correspondence to Sandow Mark Yidana.

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Yidana, S.M., Addai, M.O., Asiedu, D.K. et al. Stochastic groundwater modeling of a sedimentary aquifer: evaluation of the impacts of abstraction scenarios under conditions of reduced recharge. Arab J Geosci 9, 684 (2016). https://doi.org/10.1007/s12517-016-2718-x

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  • DOI: https://doi.org/10.1007/s12517-016-2718-x

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