Groundwater Engineering Computation Methods Based on Forchheimer’s Equation

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Darcy was known as a very generous engineer. He is undoubtedly the father of the science of fluid flow in soils for his experiment on the flow of water through a sand column which was published in his book ‘Les fontaines publiques de la ville de Dijon in 1856, named after him as Darcy’s law. For the practical computation, this equation was developed by Dupuit & Thiem, and then it called Dupuit-Thiem equation. This equation was redeveloped by many researchers in many variations with different parameters especially for radial flow in pumping and recharging systems. Their basic pumping system equations for a confined and unconfined aquifer as well as for full penetration well with a fully perforated casing. In the practical implementation, this condition rarely occurs especially for thick aquifer; therefore many researchers developed a correction for those formulas from full penetration to be partial penetration wells. Partial penetration well is a well which its depth or tip of its casing does not reach an impermeable stratum beneath the aquifer. Despite the correction, those formulas still have difficulty in computing the design of pumping system due to its need for hydraulic gradient data which can only be defined by two real time data of piezometric head before and after pumping related to the horizontal distance of both points. So in this paper will be presented some inventions of computation methods for instance: recharge systems, the drawdown of pumping, pumping on the aquifer, water losses on the lake, permeability test, pumping test analysis and partial penetration well equation.

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Djoko Legono, Radianta Triatmaja, Prof. Priyosulistyo, Veerasak Likhitruangsilp, Lim Pang Zen, Teuku Faisal Fathani, Ali Awaludin, Intan Supraba, Imam Muthohar, Dr. Endita, Fikri Faris and Dr. Inggar Septhia Irawati

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23-33

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S. Sunjoto, "Groundwater Engineering Computation Methods Based on Forchheimer’s Equation", Applied Mechanics and Materials, Vol. 881, pp. 23-33, 2018

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May 2018

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[1] H. Darcy, Histoire des Fontaines Publiques de la Ville de Dijon, Dalmont, Paris, 1856.

[2] J. Dupuit, Estudes Thèoriqueset Pratiquessur le Mouvement des Eauxdans les Canaux Dècouvertset à Travers les Terrains Permèables (Second Edition ed.), Dunod, Paris. 1863.

[3] G. Thiem, Hydrologische Methoden, J.M. Gebhart, Leipzig, (1906).

[4] P. Forchheimer, Hydraulik, 3rd, B.G. Teubner, Leipzig, (1930).

[5] S. Sunjoto, Optimization of Recharge Wells as One Technique to Restrain Sea Water Intrusion (in Indonesia), Proc. Seminar PAU-IT-UGM, Yogyakarta, (1988).

[6] S. Sunjoto, The recharge trench as a sustainable supply system, Journal of Environmental Hydrology, 16(11) (2008) 1-11.

[7] C.V. Theis, The relation between the lowering of piezometric surface and the rate and duration of discharge of well-using groundwater storage, Trans. Amer. Geophysical Union, 16 (1935) 519-524.

DOI: https://doi.org/10.1029/tr016i002p00519

[8] H.H. Cooper Jr., C.E. Jacob, A generalized graphical method for evaluating formations constants and summarizing well-field history, Trans. Amer. Geophysical Union, 27 (1946) 526-534.

DOI: https://doi.org/10.1029/tr027i004p00526

[9] V.T. Chow, On the determination of transmissibility and storage coefficients from pumping test data, Trans. Amer. Geophysical Union, 33 (1952) 397-404.

DOI: https://doi.org/10.1029/tr033i003p00397

[10] R.E. Glover, Groundwater Movement: Monograph No 31, U.S. Bureau of Reclamation Engineering, Denver, (1966).

[11] G.P. Kruseman, N.A. De Ridder, Analysis and Evaluation of Pumping Test Data, International Institute for Land Reclamation and Improvement, Wageningen, (1970).

[12] D.K. Todd, Groundwater Hydrology, John Wiley & Sons Inc., New York, (1980).

[13] S.K. Singh, Simple method for confined aquifer parameter estimation, J.Irrig. Drain. Eng. 126(6) (2000) 404-407.

[14] S. Sunjoto, Drawdown Minimizing to Restrain Sea Water Intrusion in Urban Coastal Area, 8th South East Consortium Technical University Cooperation (SEATUC) Symposium, Ibnu Sina Institut for Fundamental Science Studies, UTM, Johor Bahru, (2014).

[15] S. Sunjoto, New Equation of Partial Penetration Wells: submitted to E-proceeding of the 37th IAHR World Congress, Kuala Lumpur, (2017).

[16] S. Sunjoto, Recharge Wells as Drainage System to Increase Groundwater Storage, Proc. on the 13th IAHR-APD Congress, Advance in Hydraulics Water Engineering, Singapore, (2002).

DOI: https://doi.org/10.1142/9789812776969_0092

[17] S. Sunjoto, Dewatering and its Impact to Groundwater Storage, Proc. on International Symposium and Workshop Current Problem in Groundwater Management and Related Water Resources Issues, Bali, (2007).

[18] A.B. Luthfiana, Determination of In Situ Soils Permeability based on Shape Factor Development, Constant Discharge Procedure (in Indonesia), Bachelor Thesis, Universitas Gadjah Mada, Yogyakarta, (2015).

[19] T.H. Hanna, Foundation Instrumentation, Trans Tech Publications, Ohio, (1985).

[20] S. Sunjoto, Uncertainty of Lugeon Unit Value Related to the Influence of Drill Diameters and Aquifer Layers, E-proceeding of the 36th IAHR World Congress, The Hague, (2015).

[21] G.A.R. Kexia, S. Sunjoto , H. Hendrayana, Pumping Test Analysis Using Cooper-Jacob Method and Sunjoto Method (in Indonesia), PIT-HATHI XXXIII, Semarang, (2016).

[22] S.B. Hooghoudt, Algemene beschouwing van het probleem van de detail ont watering en de infiltratie door middel van parallel loopende drains, greppels, slooten en kanalen. Verslagen van Landbouwkundige Onderzoekingen. 46 (1940) 515-707.

[23] D. Kirkham, Lectures on Agricultural Drainage, Institute of Land and Reclamation, College of Agriculture, Alexandria University, Alexandria, (1961).

[24] G. Dagan, Spacing drain by an approximate method, Proc. ASCE, Journ. Irrig. And Drain. Div. 90(1) (1964) 41-56.

[25] L.F. Ernst, Groundwater flow in the saturated zone and its calculation when parallel horizontal open conduits are present, Versl. Landb. Ond. 67(15) (1962) 189.

DOI: https://doi.org/10.1097/00010694-196304000-00034

[26] S. Sunjoto, Simplified Drain Spacing Methods to Reduce Groundwater Table, E-proceeding of the 36th IAHR World Congress, The Hague, (2015).

[27] M. Porchet, Hydrodinamique des puits. Ann. Du Genie Rural fasc.6, (1931).

[28] A.F. Samsioe, Zeitschrift fur angewandte mathematik und mechanik, 11 (1931) 124-135.

[29] M. Muskat, Potential distribution in large cylindrical discs with partially penetrating electrodes. Physics. 3 (1932) 329-366.

[30] J. Kozeny, Theorie und Berechnung der Brunnen, Wasserkraft Wasserwirtschaft, Muenchen, (1933).

[31] W.H. Li, P. Bock, D. Benton, A new formula for flow into partially penetrating wells in aquifers, Trans. Amer. Geophysical Union. 35 (1954) 806-811.

DOI: https://doi.org/10.1029/tr035i005p00805

[32] G.V. Bogomolov, A.I. Silin-Bektchourine, Hydrogéoloie Specialisée, Moscow, 1955. Traduction par: E. Jayet, G. Castany, Annales du Sevice d'Information Géologique, Adulte – Recherche, Paris, (1959).

[33] M.S. Hantush, Aquifer tests on partially penetrating wells, Amer. Soc. Civil. Engr. Trans. 127(I) (1962) 284-308.

[34] G. Castany, Traité Pratique des Eaux Souterraines, Deuxième Ḗdition, Dunod, Paris, (1967).