Estimation of Aquifer Transmissivity Using Dar Zarrouk Parameters Derived from Surface Resistivity Measurements: A Case History from Parts of Enugu Town (Nigeria)

Ahamefula U. Utom, Benard I. Odoh, Anthony U. Okoro

Department of Geological Sciences, Nnamdi Azikiwe University, Awka, Nigeria.

DOI: 10.4236/jwarp.2012.412115                

Abstract

Many investigation techniques are commonly employed with the aim of estimating the spatial distribution of transmissivity. Unfortunately, the conventional methods for the determination of hydraulic parameters such as pumping tests, permeameter measurements and grain size analysis are invasive and relatively expensive. A geoelectric investigation involving vertical electrical sounding was carried in parts of Enugu town, Enugu state, Nigeria. The survey was aimed at extrapolating the result of pumping tests over an area. Using the Dar Zarrouk parameter, a β constant of 0.32 was found to translate resistivity to transmissivity with clay content as the primary factor controlling the hydraulic conductivity. Results of the study show a strong correlation between aquifer transmissivity and longitudinal conductance (R² = 0.82). Estimation of aquifer transmissivity values based on the results of the resistivity measurements also made it possible to demarcate area with good groundwater potential in parts of Enugu town, Nigeria.

Keywords

Resistivity; Transmissivity; Dar Zarrouk Parameters; Longitudinal Conductance; Pumping Tests

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	W. K. Kosinki and W. E. Kelly, “Geoelectric Soundings for Predicting Aquifer Properties,” Ground Water, Vol.19, No. 2, 1981, pp. 163-171. doi:10.1111/j.1745-6584.1981.tb03455.x
[2]	J. F. Ayers, “Conjunctive Use of Geophysical and Geological Methods in the Study of Alluvial Aquifer,” Ground Water, Vol. 27, No. 5, 1989, pp. 625-632. doi:10.1111/j.1745-6584.1989.tb00475.x
[3]	D. J. Allen, L. J. Brewerton, L. M. Coleby, B. R. Gibb, M. A. Lewis, M. A. MacDonald, S. J. Wagstaff and A. T. Williams, “The Physical Properties of Major Aquifers in England and Wales,” British Geological Survey Technical Report WD/97/34, 1997.
[4]	F. G. Mendosa, S. T. Steenhuis, W. M. Todd and J. Y. Parlange, “Estimating Basin-Wide Hydraulic Parameters of a Semi-Arid and Mountainous Watershed by Recession-Flow Analysis,” Journal of Hydrology, Vol. 279, No. 1, 2003, pp. 57-69. doi:10.1016/S0022-1694(03)00174-4
[5]	S. Niwas, B. Tezkan and M. Israil, “Aquifer Hydraulic Conductivity Estimation from Surface Geoelectrical Measurements for Krauthausen Test Site, Germany,” Hydrogeology Journal, Vol. 19, No. 2, 2011, pp. 307-315. doi:10.1007/s10040-010-0689-7
[6]	A. M. MacDonald, J. Burleigh and W. G. Burgess, “Estimating Transmissivity from Surface Resistivity Soundings: An Example from the Thames Gravels,” Quarterly Journal of Engineering Geology, Vol. 32, 1999, pp. 199- 205. doi:10.1144/GSL.QJEG.1999.032.P2.09
[7]	A. Olayinka and R. Barker, “Borehole Siting in Crystalline Basement Areas of Nigeria with a Microproces- sor-Controlled Resistivity Traversing System,” Ground Water, Vol. 28, No. 2, 1990, pp. 178-183. doi:10.1111/j.1745-6584.1990.tb02244.x
[8]	J. D. McNeil, “Use of Electromagnetic Methods for Groundwater Studies,” In: S. H. Ward, Ed., Investigations in Geophysics No. 5 (Geotechnical and Environmental Geophysics, SEG Vol. II: Environmental Geophysics and Groundwater), Society of Exploration Geophysicists, Tulsa, 1990, pp. 191-218.
[9]	R. M. Carruthers and I. F. Smith, “The Use of Ground Electrical Survey Methods for Siting Water Supply Boreholes in Shallow Crystalline Basement Terrains,” In: E. P. Wright and W. D. Burgess, Eds., The Hydrogeology of Crystalline Basement Aquifers in Africa, Geological Society, Special Publication, London, Vol. 66, 1992, pp. 203-220.
[10]	M. P. Davies and R. G. Campanella, “Piezocone Technology: Downhole Geophysics for the Geoenvironmental Characterization of Soil,” Proceedings of the SAGEEP Conference, Orlando, 26-29 April 1995.
[11]	T. Dahlin, “2D Resistivity Surveying for Environmental and Engineering Applications,” First Break, Vol. 14, No. 7, 1996, pp. 275-283.
[12]	D. S. Parasnis, “Principles of Applied Geophysics,” Chapman and Hall, London, 1997.
[13]	I. A. Beresnev, C. E. Hruby and C. A. Davies, “The Use of Multielectrode Resistivity Imaging in Gravel Prospecting,” Journal of Applied Geophysics, Vol. 49, No. 4, 2002, pp. 245-254. doi:10.1016/S0926-9851(02)00147-7
[14]	A. Vchery and B. Hobbs, “Resistivity Imaging to Deter-Mine Clay Cover and Permeable Units at an Ex-Industrial Site,” Near Surface Geophysics, Vol. 1, No. 1, 2003, pp. 21-30.
[15]	A. Godio and M. Naldi, “Two-Dimensional Electrical Imaging for Detection of Hydrocarbon Contaminants,” Near Surface Geophysics, Vol. 1, No. 3, 2003, pp. 131-137.
[16]	D. W. Urish, “The Practical Application of Surface Electrical Resistivity to Detection of Groundwater Pollution,” Ground Water, Vol. 21, 1983, pp. 144-152. doi:10.1111/j.1745-6584.1983.tb00711.x
[17]	M. A. Meju, “Geoelectrical Investigations of Old/Abandoned, Covered Landfill Sites in Urban Areas: Model Development with a Genetic Diagnosis Approach,” Journal of Applied Geophysics, Vol. 44, 2000, pp. 115-150. doi:10.1016/S0926-9851(00)00011-2
[18]	S. Niwas, P. K. Gupta and O. A. L. de Lima, “Nonlinear Electrical Response of Saturated Shaley Sand Reservoir and Its Asymptotic Approximations,” Geophysics, Vol. 71, No. 3, 2006, pp. 129-133. doi:10.1190/1.2196031
[19]	P.M. Soupios, M. Kouli, F. Vallianatos, A. Vafidis and G. Stavroulakis, “Estimation of Aquifer Hydraulic Parameters from Surficial Geophysical Methods: A Case Study of Keritis Basin in Chania (Crete-Greece),” Journal of Hydrology, Vol. 338, 2007, pp. 122-131. doi:10.1016/j.jhydrol.2007.02.028
[20]	A. A. R. Zohdy, G. P. Eaton and D. R. Mabey, “Application of Surface Geophysics to Ground-Water Investigation,” Techniques of Water Resources Investigation, US Geological Survey, 1974.
[21]	W. E. Medeiros and O. A. L. de Lima, “A Geoelectrical Investigation for Groundwater in Crystalline Terrains of Central Bahia, Brazil,” Ground Water, Vol. 28, 1991, pp. 518-523. doi:10.1111/j.1745-6584.1990.tb01707.x
[22]	C. Akaolisa, “Aquifer Transmissivity and Basement Structure Determination Using Resistivity Sounding at Jos, Plateau State Nigeria,” Environmental Monitoring and Assessment, Vol. 114, No. 1-3, 006, pp. 27-34.
[23]	R. Sinha, M. Israil and D. C. Singhal, “A Hydrogeo-Physical Model of the Relationship between Geoelectric and Hydraulic Parameters of Anisotropic Aquifers,” Hydrogeology Journal, Vol. 17, 2009, pp. 495-503. doi:10.1007/s10040-008-0424-9
[24]	A. T. Tizro, K. S. Voudouris, M. Salchzade, H. Mashayekhi, “Hydrogeological Framework and Estimation of Aquifer Hydraulic Parameter Using Geoelectrical Data: A Case Study from West Iran,” Hydrogeology Journal, Vol. 18, No. 4, 2010, pp. 917-929. doi:10.1007/s10040-010-0580-6
[25]	S. Niwas and O. A. L. de Lima, “Aquifer Parameter Estimation from Surface Resistivity Data,” Ground Water, Vol. 41, No. 1, 2011, pp. 94-99. doi:10.1111/j.1745-6584.2003.tb02572.x
[26]	R. Dhakate and V. S. Singh, “Estimation of Hydraulic Parameters from Surface Geophysical Methods, Kaliapani Ultramafic Complex, Orissa, India,” Journal of Environmental Hydrology, Vol. 13, No. 12, 2005, Paper 12.
[27]	P. C. Heigold, R. H. Gilkeson, K. Cartwright and P. C. Reed, “Aquifer Transmissivity from Surficial Electrical Methods,” Ground Water, Vol. 17, No. 4, 1979, pp. 338-345. doi:10.1111/j.1745-6584.1979.tb03326.x
[28]	W. E. Kelly and R. K. Frohlich, “Relations between Aquifer Electrical and Hydraulic Properties,” Ground Water, Vol. 23, No. 2, 1985, pp. 182-189. doi:10.1111/j.1745-6584.1985.tb02791.x
[29]	R. Frohlich and W. E. Kelly, “The Relation between Transmissivity and Transverse Resistance in a Complicated Aquifer of Glacial Outwash Deposits,” J. Hydrology, Vol. 79, 1985, pp. 215-219.
[30]	O. Mazac, M. Cislerova, W. E. Kelly, I. Landa, D. Venhodova, “Determination of Hydraulic Conductivities by Surface Geoelectric Methods,” In: S. H. Ward, Ed., Investigations in Geophysics No. 5 (Geotechnical and Environmental Geophysics, SEG Vol. II: Environmental Geophysics and Groundwater), Society of Exploration Geophysicists, Tulsa, 1990, pp. 125-132.
[31]	S. Niwas and D. C. Singhal, “Estimation of Aquifer Transmissivity from Dar-Zarrouk Parameters in Porous Media,” Journal of Hydrology, Vol. 50, 1981, pp. 393-399. doi:10.1016/0022-1694(81)90082-2
[32]	S. Niwas and D. C. Singhal, “Aquifer Transmissivity of Porous Media from Resistivity Data,” Journal of Hydrology, Vol. 82, No. 1-2, 1985, pp. 143-153.
[33]	W. E. Kelly and P. F. Reiter, “Influence of Anisotropy on Relation between Electrical and Hydraulic Properties,” Journal of Hydrology, Vol. 74, 1984, pp. 311-321. doi:10.1016/0022-1694(84)90021-0
[34]	R. Maillet, “The Fundamental Equations of Electrical Prospecting,” Geophysics, Vol. 12, No. 4, 1947, pp. 529-556. doi:10.1190/1.1437342
[35]	D. Huntley, “Relations between Permeability and Electrical Resistivity in Granular Aquifers,” Ground Water, Vol. 24, No. 4, 1986, pp. 466-474. doi:10.1111/j.1745-6584.1986.tb01025.x
[36]	G. E. Archie, “The Electrical Resistivity Log as an Aid in Determining Some Reservoir Characteristics,” Transactions of the American Institute of Mining and Metallurgical Engineers, Vol. 146, No. 1, 1942, pp. 56-62.
[37]	A. U. Utom, “Prediction of Shallow Aquifer Parameters and Water Quality in Okpara Coal Mine and Environs using Geoelectrical Sounding,” M.Sc. Thesis, Nnamdi Azikiwe University, Awka, 2012, 106 p.
[38]	G. I. Nwankwor, B. C. Egboka and I. P. Orajaka, “Groundwater Occurrence and Flow Pattern in the Enugu Coalmine Area, Anambra State, Nigeria,” Hydrological Sciences Journal, Vol. 33, 1988, pp. 465-482. doi:10.1080/02626668809491275
[39]	R. A. Freeze and J. A. Cherry, “Ground Water,” Prentice Hall, Inc, New York, 1979.
[40]	P. A. Domenico and F. W. Schwartz, “Physical and Chemical Hydrogeology,” Wiley Press, New York, 1990.
[41]	L. O. Sanni, “Cassava Post Harvest Needs Assessment Survey in Nigeria,” IITA, 2007.
[42]	P. E. B. Inyang, “Climate Regions,” In: G. E. K. Ofomata, Ed., Nigerian in Maps, Eastern States, Ethiope Publishing House, Benin, 1975, pp. 27-29.
[43]	C. Bobachev, “IPI2Win: A Windows Software for an Automatic Interpretation of Resistivity Sounding Data,” PhD Thesis, Moscow State University, Russia, 2002.
[44]	P. D. C. Mbonu, J. C. Ebeniro, C. O. Ofoegbu and A. S. Ekine, “Geoelectric Sounding for the Determination of Aquifer Characteristics in Parts of the Umahia Area of Nigeria,” Geophysics, Vol. 56, Vol. 2, 1991, pp. 284-291.