salt water intrusion; resistivity tomography; geostatistical constraint; variogram; inversion; regularization
Abstract :
[en] Electrical resistivity tomography is a well-known technique to monitor fresh-salt water transitions. In such environments, boreholes are often used to validate geophysical results but rarely used to constrain the geoelectrical inversion. To estimate the extent of salt water infiltration in the dune area of a Natural Reserve (Westhoek, Belgium), electrical resistivity tomography profiles were carried out together with borehole electromagnetic measurements. The latter were used to calculate a vertical variogram, representative of the study site. Then, a geostatistical constraint, in the form of an a priori model covariance matrix based on the variogram, was imposed as regularization to solve the electrical inverse problem. Inversion results enabled to determine the extension of the salt water plume laterally and at depth, but also to estimate the total dissolved solid content within the plume. These results are in agreement with the hydrogeological data of the site. A comparison with borehole data showed that the inversion results with geostatistical constraints are much more representative of the seawater body (in terms of total dissolved solids, extension and height) than results using standard smoothness-constrained inversion. The field results obtained for the Westhoek site emphasize the need to go beyond standard smoothness-constrained images and to use available borehole data as prior information to constrain the inversion.
Disciplines :
Geological, petroleum & mining engineering
Author, co-author :
Hermans, Thomas ; Université de Liège - ULiège > Département Argenco : Secteur GEO3 > Géophysique appliquée
Amidu, S.A., Dunbar, J.A., An evaluation of the electrical-resistivity method for water-reservoir salinity studies (2008) Geophysics, 73 (4), pp. G39-G49
Archie, G.E., The electrical resistivity log as an aid in determining some reservoir characteristics (1942) Trans. AIME, 146, pp. 54-62
Carter, E.S., White, S.M., Wilson, A.M., Variation in groundwater salinity in a tidal salt marsh basin, North Inlet Estuary, South Carolina (2008) Estuar. Coast. Shelf Sci., 76, pp. 543-552
Cassiani, G., Böhm, G., Vesnaver, A., Nicolich, R., A geostatistical framework for incorporating seismic tomography auxiliary data into hydraulic conductivity estimation (1998) J. Hydrol., 29 (1-2), pp. 58-74
Chasseriau, P., Chouteau, M., 3D gravity inversion using a model of parameter covariance (2003) J. Appl. Geophys., 52, pp. 59-74
Constable, S.C., Parker, R.L., Constable, C.G., Occam's inversion: a practical algorithm for generating smooth models from electromagnetic sounding data (1987) Geophysics, 52 (3), pp. 289-300
Dahlin, T., Zhou, B., A numerical comparison of 2D resistivity imaging with ten electrode arrays (2004) Geophys. Prospect., 52, pp. 379-398
Day-Lewis, F.D., Lane, J.W., Assessing the resolution-dependent utility of tomograms for geostatistics (2004) Geophys. Res. Lett., 31, pp. L07503
De Franco, R., Biella, G., Tosi, L., Teatini, P., Lozej, A., Chiozzotto, B., Giada, M., Gasparetto-Stori, G., Monitoring the saltwater intrusion by time lapse electrical resistivity tomography: the Chioggia test site (Venice Lagoon, Italy) (2009) J. Appl. Geophys., 69, pp. 117-130
deGroot-Hedlin, C., Constable, S., Occam's inversion to generate smooth, two dimensional models from magnetotelluric data (1990) Geophysics, 55, pp. 1613-1624
Deutsch, C.V., Journel, A.G., (1998) GSLIB: Geostatistical Software Library: And User's Guide, p. 369. , Oxford University Press, New York, NY
Goldman, M., Kafri, U., (2006), pp. 233-254. , Hydrogeophysical applications in coastal aquifers. In: Vereecken, H., Binley, A., Cassiani, G., Revil, A., Titov, K. (Eds.), Applied Hydrogeophysics. Nato Science Series, Serie IV, Earth and Environmental Sciences, 71, Springer, Dordrecht
Hansen, P.C., (1998) Rank-deficient and Discrete Ill-posed Problems: Numerical Aspects of Linear Inversion, , SIAM, Philadelphia
Hansen, T.M., Journel, A.G., Tarantola, A., Mosegaard, K., Linear inverse Gaussian theory and geostatistics (2006) Geophysics, 71 (6), pp. R101-R111
Henderson, R.D., Day-Lewis, F.D., Abarca, E., Harvey, C.F., Karam, H.N., Liu, L., Lane Jr, J.W., (2010), Marine Electrical Resistivity Imaging of Submarine Groundwater Discharge: Sensitivity Analysis and Application in Waquoit Bay, Massachussets, USA
Isaaks, E.H., Srivastava, R.M., (1989) Applied Geostatistics, p. 561. , Oxford University Press, New-York
Johnson, T.C., Routh, P.S., Clemo, T., Barrash, W., Clement, W.P., Incorporating geostatistical constraints in nonlinear inversion problems (2007) Water Resour. Res., 43, pp. W10422
Journel, A.G., Huijbregts, C.J., (1978) Mining Geostatistics, , Academic Press, London, New York
Kemna, A., (2000), Tomographic Inversion of Complex Resistivity - Theory and Application. Ph.D. Thesis, Ruhr-University of Bochum
LaBrecque, D.J., Miletto, M., Daily, W., Ramirez, A., Owen, E., The effects of noise on Occam's inversion of resistivity tomography data (1996) Geophysics, 61 (2), pp. 538-548
Lebbe, L., (1978), p. 164. , Hydrogeologie van het duingebied ten westen van De Panne. Ph.D. Thesis, University of Ghent, Ghent, unpublished
Lebbe, L., Parameter identification in fresh-saltwater flow based on borehole resistivities and freshwater head data (1999) Adv. Water Resour., 22 (8), pp. 791-806
Linde, N., Binley, A., Tryggvason, A., Petersen, L.B., Revil, A., Improved hydrogeophysical characterization using joint inversion of cross-hole electrical resistance and ground-penetrating radar traveltime data (2006) Water Resour. Res., 42, pp. W12404
Martin, R., Kemna, A., Hermans, T., Nguyen, F., Vandenbohede, A., Lebbe, L., (2010), Using geostatistical constraints in electrical imaging for improved reservoir characterization. Abstract H23L-06 Presented at 2010 Fall Meeting, AGU, San Francisco, Calif., 13-17 December
Martínez, J., Benavente, J., García-Aróstegui, J.L., Hidalgo, M.C., Rey, J., Contribution of electrical resistivity tomography to the study of detrital aquifers affected by seawater intrusion-extrusion effects: the river Vélez delta (Vélez-Málaga, southern Spain) (2009) Eng. Geol., 108, pp. 161-168
Maurer, H., Holliger, K., Boerner, D.E., Stochastic regularization: smoothness or similarity? (1998) Geophys. Res. Lett., 25, pp. 2889-2892
McNeill, J.D., (1986), Geonics EM39 Borehole Conductivity Meter - Theory of Operation. Geonics Limited Technical Note TN-20
Nguyen, F., Kemna, A., Antonsson, A., Engesgaard, P., Kuras, O., Ogilvy, R., Gisbert, J., Pulido-Bosch, A., Characterization of seawater intrusion using 2D electrical Imaging (2009) Near Surf. Geophys., 7, pp. 377-390
Parasnis, D.S., Reciprocity theorems in geoelectric and geoelectromagnetic work (1988) Geo-exploration, 25, pp. 177-198
Pilkington, M.M., Todoeschuck, J.P., Naturally smooth inversion with a priori information from well logs (1991) Geophysics, 56, pp. 1811-1818
Robert, T., Dassargues, A., Brouyère, S., Kaufmann, O., Hallet, V., Nguyen, F., Assessing the contribution of electrical resistivity tomography (ERT) and self-potential (SP) methods for a water well drilling program in fractured/karstified limestones (2011) J. Appl. Geophys., 75, pp. 42-53
Slater, L., Binley, A.M., Daily, W., Johnson, R., Cross-hole electrical imaging of a controlled saline tracer injection (2000) J. Appl. Geophys., 44, pp. 85-102
Smith, J.T., Booker, J.R., Magnetotelluric inversion for minimum structure (1988) Geophysics, 53, pp. 1565-1576
Strebelle, S., Payrazyan, K., Caers, J., (2002), Modeling of a deepwater turbidite reservoirs conditional to seismic data using multiple-point geostatistics. Paper Presented at SPE Annual Technical Conference and Exhibition, Society of Petroleum Engineers Inc., San Antonio, Texas
Tarantola, A., Valette, B., Generalized non-linear problems solved using the least-squares criterion (1982) Rev. Geophys. Space Phys., 20, pp. 219-232
Tarantola, A., (1987) Inverse Problem Theory, , Elsevier, Amsterdam
(2006), http://www.earth.columbia.edu/news/2006/story07-11-06.php, The Earth Institute - Columbia University. It's 2025. Where Do Most People Live? Columbia University, New-York
Tikhonov, A.N., Arsenin, V.A., (1977) Solution of Ill-posed Problems, , Winston & Sons, Washington
Vandenbohede, A., Lebbe, L., Occurrence of salt water above fresh water in dynamic equilibrium in coastal groundwater flow systems (2006) Hydrol. J., 14 (4), pp. 462-472
Vandenbohede, A., Lebbe, L., Gysens, S., Delecluyse, K., DeWolf, P., Salt water infiltration in two artificial sea inlets in the Belgian dune area (2008) J. Hydrol., 360, pp. 77-86
Van Meir, N., Lebbe, L., Deriving TDS values in coarse sediments from long normal and electromagnetic logs (2003) Ground Water, 41 (1), pp. 33-40
Verwaest, T., De Wolf, P., Herrier, J.-L., Leten, M., Windows in the dunes - the creation of sea inlets in the nature reserve de Westhoek in de Panne (2005), 19, pp. 433-439. , In: Herrier, J.-L., Mees, J., Salman, A., Seys, J., Van Nieuwenhuyse, H., Dobbelare, I. (Eds.), Proceedings " Dunes end Estuaries 2005" - International Conference on Nature Restoration Practices in European Coastal Habitats, Koksijde, Belgium, 19-23 September 2005. VLIZ Special Publication
Yang, X., LaBrecque, D.J., (1998), 11, pp. 221-228. , Stochastic inversion of 3D ERT data. In: Symposium on the Application of Geophysics to Engineering and Environmental Problems. EEGS
Yeh, T.-C.J., Jin, M., Hanna, S., An iterative stochastic inverse method: conditional effective transmissivity and hydraulic head fields (1996) Water Resour. Res., 32 (1), pp. 85-92
Yeh, T.-C.J., Liu, S., Hydraulic tomography: development of a new aquifer test method (2000) Water Resour. Res., 36 (8), pp. 2095-2105
Yeh, T.-C.J., Liu, S., Glass, R.J., Baker, K., Brainard, J.R., Alumbaugh, D., LaBrecque, D., A geostatistically based inverse model for electrical resistivity surveys and its applications to vadose zone hydrology (2002) Water Resour. Res., 38 (12)
Yeh, T.-C.J., Zhu, J., Englert, A., Guzman, A., Flaherty, S., (2006), p. 383. , A successive linear estimator for electrical resistivity tomography. In: Vereecken, H., Binley, A., Cassiani, G., Revil, A., Titov, K. (Eds.), Applied Hydrogeophysics. NATO Science Series, Springer