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On studying flow through a fracture using self-potential anomaly: application to shallow aquifer recharge at Vilarelho da Raia, northern Portugal

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Abstract

We demonstrate a strategy of investigating recharge potential of a shallow aquifer in a hard rock terrain through flow in a fractured zone using self-potential (SP) anomaly and other ancillary (published) data related to the area of investigation. Our study area is Vilarelho da Raia, northern Portugal which possesses a shallow aquifer within a granitic terrain. We explain the phenomenon responsible for generating SP anomaly due to groundwater flow through a fractured conduit associating a fault. We propose delineating parameters associated with such structure from SP profile across it using a thin 2D conducting sheet model buried below subsurface. We propose a data based robust interpretation using derivative analysis of SP anomaly. We demonstrate that for sufficiently smooth SP anomaly across a 2D buried sheet model the first and the second order vertical derivatives of SP anomaly are the only necessary tools in delineating model parameters using characteristic features of derivatives curves and a set of closed form formulas. We propose using Savitzky–Golay derivative filter to get robust estimate of the first and second order horizontal derivatives. The first and second order vertical derivatives are obtained using Hilbert transform and Laplaces harmonic equation respectively. We applied the proposed technique on SP anomaly profile across a fault at Vilarelho da Raia in estimating parameters of a sheet model which represents the fault plane. We used the estimated parameters and the ancillary data taken from published literature to delineate hydrogeological parameters related to recharging of an aquifer within a granitic terrain.

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References

  • Aires-Barros L, Marques JM, Graa RC (1995) Elemental and isotopic geochemistry in the hydrothermal area of Chaves/Vila Pouca de Agiar (northern Portugal). Environ Geol 25:232–238

    Article  Google Scholar 

  • Al-Saigh NH, Mohammed ZS, Dahham MS (1994) Detection of water leakage from dams by self-potential method. Eng Geol 37:115–121

    Article  Google Scholar 

  • Asfahani J, Tlas M (2005) A constrained nonlinear inversion approach to quantitative interpretation of self-potential anomalies caused by cylinders spheres and sheet-like structures. Pure Appl Geophys 162:609–624

    Article  Google Scholar 

  • Biswas A, Sharma SP (2014) Optimization of self-potential interpretation of 2-d inclined sheet-type structures based on very fast simulated annealing and analysis of ambiguity. J Appl Geophys 105:245–247

    Article  Google Scholar 

  • Butler DK, Llopis JL (1990) Detection of water leakage from dams by self-potential method. In: Ward SH (ed) Geotechnical and environmental geophysics: environmental and groundwater, vol II. Society of Exploration Geophysicists, Tulsa, pp 153–174

    Google Scholar 

  • Caine JS, Evans JP, Forster CB (1996) Fault zone architecture and permeability structure. Geology 24:1025–1028

    Article  Google Scholar 

  • Corry CE, DeMoully GT, Gerety MT (1983) Field procedure manual for self-potential surveys. Zonge Engineering and Research Organization, Tucson

    Google Scholar 

  • Corwin RF, Hoover DB (1979) The self-potential method in geothermal exploration. Geophysics 44(2):226–245

    Article  Google Scholar 

  • Detay M (1997) Water wells: implementation, maintenance and restoration. Wiley, London

    Google Scholar 

  • Ellis DV, Singer JM (2007) Well logging for earth scientists. Springer, Dordrecht

    Book  Google Scholar 

  • Fagerlund F, Heinson G (2002) Detecting subsurface groundwater flow in fractured rock using self-potential (SP) methods. Environ Geol 43:782–794

    Article  Google Scholar 

  • Faulkner DR, Jackson CAL, Lunn RJ, Schlische RW, Shipton ZK, Wibberley CAJ, Withjack MO (2010) A review of recent developments concerning the structure, mechanics and fluid flow properties of fault zones. J Struct Geol 32:1557–1575

    Article  Google Scholar 

  • Franke W (1989) Variscan plate tectonics in central europe current ideas and open questions. Tectonophysics 169(4):221–228

    Article  Google Scholar 

  • Gorry PA (1990) General least squares smoothing and differentiation by the convolution (Savitzky–Golay) method. Anal Chem 62:570–573

    Article  Google Scholar 

  • Groetsch CW (1991) Differentiation of approximately specified functions. Am Math Mon 98:847–850

    Article  Google Scholar 

  • Guichet X, Jouniaux L, Pozzi JP (2003) Streaming potential of a sand column in partial saturation conditions. J Geophys Res 108(B13):2141. https://doi.org/10.1029/2001JB001517

    Google Scholar 

  • Ishido T (2004) Electrokinetic mechanism for the w-shaped self-potential profile on volcanoes. Geophys Res Lett 31:L15616. https://doi.org/10.1029/2004GL020409

    Article  Google Scholar 

  • Ishido T, Mizutani H (1981) Experimental and theoretical basis of electrokinetic phenomena in rock–water systems and its applications to geophysics. J Geophys Res 86(B3):1763–1775

    Article  Google Scholar 

  • Johansson S (1997) Seepage monitoring embankment dams. Ph.D. thesis, Royal Institute of Technology, Stockholm

  • Jorgensen DG (1989) Using geophysical logs to estimate porosity, water resistivity, and intrinsic permeability. U.S.G.S water-supply paper 2321, U.S. Geological Survey

  • Jouniaux L, Ishido T (2012) Electrokinetics in earth sciences: a tutorial. Int J Geophys 2012:1–16 10.115/2012/286107

    Google Scholar 

  • Jouniaux L, Bernard ML, Zamora M, Pozzi JP (2000) Streaming potential in volcanic rocks from mount Pelee. J Geophys Res 105(B4):8391–8401

    Article  Google Scholar 

  • Kim YS, Peacock DCP, Sanderson DJ (2004) Fault damage zones. J Struct Geol 26:503–517

    Article  Google Scholar 

  • Kitagawa Y, Yasuaki Y, Katsuhiko I (2001) Zeta potentials of clay minerals estimated by an electrokinetic sonic amplitude method and relation to their dispersibility. Clay Sci 11:329–336

    Google Scholar 

  • Lautensach H, Mayer E (1961) Iberische meseta und iberische masse. Zeitschrift fur Geomorphologie 5(3):161–180

    Google Scholar 

  • Lorentz PB (1969) Surface conductance and electrokinetic properties of kaolinite beds. Clays Clay Miner 17:223–231

    Article  Google Scholar 

  • Lyklema J (1995) Fundamentals of interface and colloid science: solid–liquid interface, vol II. Academic Press, New York

    Google Scholar 

  • Mainali G, Nordlund E, Knutsson S, Thunehed H (2015) Tailings dams monitoring in Swedish mines using self-potential and electrical resistivity methods. Electron J Geotech Eng 20(13):5859–5875

    Google Scholar 

  • Marques JM, Monteiro Santos FA, Graa RC, Castro R, Aires-Barros L, Mendes-Victor LA (2001) A geochemical and geophysical approach to derive a conceptual circulation model of \(\text{ CO }_{2}\)-rich mineral waters: a case study of vilarelho da raia (ne Portugal). Hydrogeol J 9:584–596

    Article  Google Scholar 

  • Marques JM, Matias MJ, Basto MJ, Carreira PM, Aires-Barros L, Goff FE (2010) Hydrothermal alteration of hercynian granites, its significance to the evolution of geothermal systems in granitic rocks. Geothermics 39:152–160

    Article  Google Scholar 

  • Marques JM, Carreira PM, Goff F, Eggenkamp HGM, Antunes da Silva M (2012) Input of \(^{87} {{\rm Sr}} / ^{86} {{\rm Sr}}\) ratios and Sr geochemical geochemical signatures to update knowledge on thermal and mineral water flow paths in fractured rocks (N-Portugal). Appl Geochem 27:1471–1481

    Article  Google Scholar 

  • Mauri G, Williams-Jones G, Saracco G (2010) Depth determination of shallow hydrothermal systems by self-potential and multi-scale wavelet tomography. J Volcanol Geotherm Res 191:233–244

    Article  Google Scholar 

  • Minsley BJ, Sogade J, Vichabian Y, Morgan FD (2005) 3D self potential inversion for monitoring DNAPL contaminant distributions. In: Abstract of Spring Meeting Meeting, San Francisco, December 5–9, American Geophysical Union, Washington DC, p NS44A–02

  • Monteiro Santos FA (2010) Inversion of self-potential of idealised bodies’ anomalies using particle swarm optimisation. Comput Geosci 36:1185–1190

    Article  Google Scholar 

  • Monteiro Santos FA, Almeida EP, Castro R, Nolasco R, Mendes-Victor LA (2002) A hydrogeological investigation using EM34 and SP surveys. Earth Planets Space 54:655–662

    Article  Google Scholar 

  • Murthy IVR, Sudhakar KS, Rao PR (2005) A new method of interpreting self-potential anomalies of two-dimensional inclined sheets. Comput Geosci 31:661–665

    Article  Google Scholar 

  • Murty BVS, Haricharan P (1985) Quantitative interpretation of self potential anomalies due to two dimensional sheet like bodies. Geophysics 50:1127–1135

    Article  Google Scholar 

  • Naudet V, Revil A, Bottero JY, Bégassat P (2003) A comparison of self-potential tomography with electrical resistivity tomography for the detection of abandoned mineshafts. Geophys Res Lett 30:2091–2094

    Article  Google Scholar 

  • Odling NE, Harris SD, Vaszi AZ, Knipe RJ (2005) Properties of fault damage zones in silicoclastic rocks: a modeling approach. Geol Soc Lond Spl Publ 249:43–59

    Article  Google Scholar 

  • Onsager L (1931) Reciprocal relations in irreversible processes. I. Phys Rev 37:405–426

    Article  Google Scholar 

  • Orfanidis SJ (1996) Introduction to signal processing. Prentice-Hall, Englewood Cliffs

    Google Scholar 

  • Overbeek J (1952) Electrochemistry of the double layer. In: Kruyt HR (ed) Colloid science. Irreversible systems, vol I. Elsevier, New York, pp 115–193

    Google Scholar 

  • Perry JW, Corry CE, Madden TR (1996) Monitoring leakage from underground storage tanks using spontaneous polarization (SP) method. Extended abstract of SEG annual meeting, Denver, November 10–15. Society of Exploration Geophysicists, Tulsa, pp 932–935

  • Rao AD, Ram Babu HV (1983) Quantitative interpretation of self potential anomalies due to two dimensional sheet like bodies. Geophysics 48:1659–1664

    Article  Google Scholar 

  • Rao AD, Ram Babu HV, Sivakumar SGD (1982) A Fourier transform method for the interpretation of self potential anomalies due to two dimensional inclined sheet of finite depth extent. Pure Appl Geophys 120:365–374

    Article  Google Scholar 

  • Rao SJ, Rao PR, Murthy IVR (1992) Automatic inversion of self-potential anomalies of sheet-like bodies. Comput Geosci 19:61–73

    Google Scholar 

  • Roy IG (2015) On computing first and second order derivative spectra. J Comput Phys 295:307–321

    Article  Google Scholar 

  • Roy IG (2017) Interpreting potential field anomaly of an isolated source of regular geometry revisited. Geophysics 82(5):IM41–IM48

    Article  Google Scholar 

  • Rozycki A, RFJ M, Cuadra A (2006) Detection and evaluation of horizontal fractures in earth dams using the self-potential method. Eng Geol 82:145–153

    Article  Google Scholar 

  • Sala M (1984) The Iberian Masif. In: Embleton C (ed) Geomorphology of Europe. Palgrave, London, pp 294–322

    Chapter  Google Scholar 

  • Schafer RW (2011) What is a Savitzky–Golay filter. IEEE Signal Process Mag 28:111–117

    Article  Google Scholar 

  • Schulmann K, Martínez Catlán JR, Lardeaux JM, Oggiano Janoušek G V (2014) The variscan orogeny: extent, timescale and formation of the European crust. Spl Publ Geol Soc Lond 405:1–6

    Article  Google Scholar 

  • Vichabian Y, Morgan FD (2002) Self potentials in cave detection. Lead Edge 21:866–871

    Article  Google Scholar 

  • Wilkinson PB, Chambers JE, Meldrum PI, Ogilvy RD, Mellor CJ, Caunt S (2005) A comparison of self-potential tomography with electrical resistivity tomography for the detection of abandoned mineshafts. J Environ Eng Geophys 10:381–389

    Article  Google Scholar 

  • Zeidouni M (2012) Analytical model of leakage through fault to overlying formations. Water Resour Res 48:W00N02. https://doi.org/10.1029/2012WR012582

    Article  Google Scholar 

Download references

Acknowledgements

The author gratefully acknowledges the anonymous reviewer for his insightful reviewing and the Editor-in-Chief Prof. Viktor Wesztergom for prompt response and valuable suggestions. The current research is supported by Spaceage Geoconsulting (a research oriented consulting firm) for providing necessary support.

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  1. Spaceage Geoconsulting, 5 Bick Place, Banks, ACT, 2906, Australia

    Indrajit G. Roy

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Roy, I.G. On studying flow through a fracture using self-potential anomaly: application to shallow aquifer recharge at Vilarelho da Raia, northern Portugal. Acta Geod Geophys 54, 225–242 (2019). https://doi.org/10.1007/s40328-019-00256-6

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