Abstract
Aquifers may have alluvium deposits, weathered layers, fractured zones, and karstic formations separately or in mixture forms. Such geological configurations do not allow classical aquifer test applicability, due to a set of underlying assumptions that are not usually valid in nature. In practice, the Jacob straight line method is the most commonly used approach for aquifer parameter determinations. Constant transmissivity and storativity estimations depend on large time-drawdown plots on semilogarithmic paper as a straight line. A common mistake is that the appearance of a general trend as a straight line on semilogarithmic paper is taken as guaranteed for the application of Jacob method. Since Jacob straight line is the large time extension of Theis type curve, there is only one straight line on the semilogarithmic paper that can represent Jacob method, which is based on the assumption that the aquifer is porous and homogeneous. In such a case, the Jacob method slope should equal to 2.3, which shows its validity. Otherwise, a modification of Jacob method is suggested in this paper. The basis of the methodology is a dimensionless type straight line approach for the aquifer parameter assessment. Its application is presented for aquifer test data from Oude Korendjik porous medium aquifer data. The application results indicate that the classical Jacob straight line method might not be valid without a preliminary check. The dimensionless reevaluation of existing data helps to check the validity. The necessary formulations for the modification of the classical straight line method are derived, which reduce to classical Jacob method for a specific set of parameters.
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References
Cooper HH Jr, Jacob CE (1946) A generalized graphical method for evaluating formation constants and summarizing well-field history. Eos Trans AGU 27(4):526–534
De Glee GJ (1930) Over Grondwaterstroomingen bij wateronttrekking door middel van Putten, T. Waltman, Jr., Delft
Hantush MS (1956) Analysis of data from pumping tests in leaky aquifers. Trans Amer Geophys Union 37:702–714
Hantush MS (1959) Non-steady flow to flowing wells in leaky aquifers. J Geophys Res 64:1043
Kruseman GP, de Ridder NA (1992) Analysis and evaluation of pumping test data. International Institute for Land Reclamation and Improvement/ILRI, Wageningen, p 377
Li PY, Qian H (2012) Global curve-fitting for determining the hydrogeological parameters of leaky confined aquifers by transient flow pumping test. Arab J Geosci. doi:10.1007/s12517-012-0567-9
Meier PM, Carrera J, Sanchez-Vila X (1998) An evaluation of Jacob’s method for the interpretation of pumping tests in heterogeneous formations. Water Resour Res 34(5):1011–1025
Red Sea Mining Company, (RSMC) (1986) Hydrogeological investigations Makkah Project, Compiled Report, Zamzam Well and Wadi Ibrahim
Sanchez-Vila X, Meier PM, Carrera J (1999) Pumping test in heterogeneous aquifers: an analytical study of what can be obtained from their interpretation using Jacob’s method. Water Resour Res 35(4):943–952
Şen Z (1986) Dimensionless straight type lines for aquifer test. J Hydraul Eng ASCE 116(9):1145–1156
Şen Z (1988) Dimensionless time drawdown plots of late aquifer test data. Ground Water 26(5):615–618
Şen Z (1989) Non-linear flow towards wells. J Hydraul Eng ASCE 125(12):193–209
Şen Z (1990) Non-linear radial flow in confined aquifers toward large diameter wells. Water Resour Res 26(5):1103–1109
Şen Z (1995) Applied hydrogeology for scientists and engineers. CRC Press, Inc., Florida, p 444
Şen Z (2012) Straightline method generalization for aquifer parameter estimations. J Irrig Drain Eng 138(12):1082–1087. doi:10.1061/(ASCE)IR.1943-4774.0000521
Theis CV (1935) The relationship between the lowering of the piezometric surface and the rate and duration of discharge of a well using groundwater storage. Trans Amer Geophys Union 16:519
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Şen, Z. Dimensionless straight line fitting method for hydrogeological parameter determination. Arab J Geosci 7, 819–825 (2014). https://doi.org/10.1007/s12517-012-0783-3
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DOI: https://doi.org/10.1007/s12517-012-0783-3