Estimating Hydraulic Conductivity and Porosity of Soils from Spectral Electrical Response Measurements

Boadu, Fred Kofi; Seabrook, Brian C.

doi:10.4133/jeeg5.4.1

Cited by 13 publications

(5 citation statements)

References 26 publications

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“…The Cole-Cole model (Cole and Cole, 1941) has been found to be very useful for interpreting spectral IP (SIP) data in terms of parameters, such as chargeability and time constant, which in turn have been used to estimate various subsurface properties (Lesmes and Friedman, 2005). Among many studies in which Cole-Cole parameters were estimated from SIP measurements on soils and rocks, the majority employed classical deterministic inversion methods, specifically the iterative Gauss-Newton based schemes with the Levenberg-Marquardt damping for stabilization of the inverse solution (Pelton et al, 1984;Jaggar and Fell, 1988;Luo and Zhang, 1998;Kemna, 2000;Boadu and Seabrook, 2000).…”

Section: Introductionmentioning

confidence: 99%

A comparison between Gauss-Newton and Markov-chain Monte Carlo–based methods for inverting spectral induced-polarization data for Cole-Cole parameters

2008

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We develop a Bayesian model to invert spectral induced polarization (SIP) data for ColeCole parameters using Markov chain Monte Carlo (MCMC) sampling methods. We compare the performance of the MCMC based stochastic method with an iterative Gauss-Newton based deterministic method for Cole-Cole parameter estimation through inversion of synthetic and laboratory SIP data. The Gauss-Newton based method can provide an optimal solution for given objective functions under constraints, but the obtained optimal solution generally depends on the choice of initial values and the estimated uncertainty information is often inaccurate or insufficient. In contrast, the MCMC based inversion method provides extensive global information on unknown parameters, such as the marginal probability distribution functions, from which we can obtain better estimates and tighter uncertainty bounds of the parameters than with the deterministic method. Additionally, the results obtained with the MCMC method are independent of the choice of initial values. Because the MCMC based method does not explicitly offer single optimal solution for given objective functions, the deterministic and stochastic methods can complement each other. For example, the stochastic method can first be used to obtain the means of the unknown parameters by starting from an arbitrary set of initial values and the deterministic method can then be initiated using the means as starting values to obtain the optimal estimates of the Cole-Cole parameters.3

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Section: Introductionmentioning

confidence: 99%

A comparison between Gauss-Newton and Markov-chain Monte Carlo–based methods for inverting spectral induced-polarization data for Cole-Cole parameters

2008

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“…The IP method was initially applied to the characterization of metallic mineral ore bodies (Pelton et al ). The technique has also been used to characterize sedimentary rocks in terms of their surface area and other hydrogeological properties (Vanhala and Soininen ; Borner et al ; Boadu and Seabrook ). Other uses have included the detection of buried metallic objects such as waste drums (Weller et al ; Chambers et al ), UXO (Daily et al ) and pipelines (Parra ).…”

Section: Electrical Impedance Tomographymentioning

confidence: 99%

Characterisation of a NAPL‐contaminated former quarry site using electrical impedance tomography

Chambers

Meldrum

Ogilvy

et al. 2005

Near Surface Geophysics

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Kemna et al. 2002;Tsourlos et al. 2003) and remedial processes (Daily and Ramirez 1995;Schima et al. 1996;Newmark et al. 1998). The use of geophysical techniques can potentially reduce the need for more expensive and hazardous intrusive methods, and can provide spatially continuous information regarding subsurface structure.In this study, 3D EIT was applied to the characterization of two tar pits within a former quarry site, near Belper, Derbyshire, UK, in which a range of materials including aqueous wastes, oils and tars, and other non-aqueous phase liquid (NAPL) contaminated materials were deposited. The site has been the subject of extensive conventional site investigation, and the composition and geometry of the waste deposits are reasonably well known. The aims of this survey were to assess the EIT technique in field conditions at a site with good ground-truth information, to compare the results of conventional and EIT investigation methods, and to improve the characterization of the waste materials and related bedrock contamination. ABSTRACTElectrical impedance tomography (EIT) was used to characterize two tar pits, containing a range of NAPL and aqueous contaminants, located within a former quarry site. The site, which is situated on Coal Measures strata near Belper, Derbyshire, UK, has been the subject of an extensive conventional site investigation. Consequently, the geometry and contents of the pits are relatively well defined. The aims of the survey were to test 3D EIT in field conditions against good ground-truth data and, in combination with intrusive and historical site records, to improve the characterization of the waste pits.The EIT survey employed surface electrodes within a network of linear survey lines. Impedance magnitude and phase data were collected at frequencies of 0.6, 2, 10, 40 and 125 Hz, from which resistivity and phase models were calculated using a 3D smoothness-constrained least-squares inversion technique. Resistivity models displayed only weak frequency-dependent variations. The resistivity images were proved to correlate well with the ground-truth data, and were used to further constrain models of the distribution of waste and bedrock contamination. Furthermore, interrogation of the 0.6 Hz resistivity model permitted estimates of waste and contaminated bedrock volumes for the two pits. A reliable phase model could be produced only from the 0.6 Hz data, due to the increased noise levels affecting the data at higher frequencies. The 0.6 Hz phase model displayed phase variations consistent with the known distribution of the waste. The mechanisms causing the observed phase anomalies could not be conclusively determined; however, it is probable that they are related to the presence of metallic waste. EIT was shown to be a particularly effective tool for site characterization when used in conjunction with intrusive and historical data for the purposes of model calibration and interpretation. ELECTRICAL IMPEDANCE TOMOGRAPHYEIT is a technique by which 2D or 3D models of subsurface ele...

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“…Boadu and Seabrook (2000) [21] used a double Cole-Cole model to explain a laboratory measurement on the soil samples which showed a frequency dependent electrical response (FDER). They have demonstrated that the FDER resistivity and phase spectra of the soil contain valuable information about its porosity, hydraulic conductivity, texture, and fluid properties.…”

Section: Introductionmentioning

confidence: 99%

Induced polarization effect in reservoir rocks and its modeling based on generalized effective-medium theory

Burtman

Zhdanov

2015

Resource-Efficient Technologies

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One of the major tasks of the petroleum resource-efficient technologies (pREFFIT) is the development and improvement of the methods of exploration for energy resources. This review paper summarizes the results of the research on induced polarization (IP) effect in reservoir rocks conducted by the University of Utah Consortium for Electromagnetic Modeling and Inversion (CEMI) and TechnoImaging. The electrical IP effect in hydrocarbon (HC) bearing reservoir rocks having nonmetallic minerals is usually associated with membrane polarization, which is caused by a variation in the mobility of the ions throughout the rock structure. This mobility is related to the size and shape of the pores filled with electrolyte and the double electrical layers. We have studied the IP response of multiphase porous systems by conducting complex resistivity (CR) frequency-domain IP measurements for two different groups of samples: sands and sandstones containing salt water in pores and those whose unsaturated pores were filled with synthetic oil. We have also studied selected carbonate reservoir formations, typical of some major HC deposits. The generalized effective-medium theory of induced polarization (GEMTIP) was used to analyze the IP parameters of the measured responses. This paper presents a conceptual model of polarizing clusters to explain the observed IP phenomena. The results of this study show that the HC bearing sands and sandstone samples and carbonate rocks are characterized by a significant IP response. These experimental observations, compared with the theoretical modeling based on the GEMTIP approach, confirm earlier geophysical experiments with the application of the IP method for HC exploration.

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Estimating Hydraulic Conductivity and Porosity of Soils from Spectral Electrical Response Measurements

Cited by 13 publications

References 26 publications

A comparison between Gauss-Newton and Markov-chain Monte Carlo–based methods for inverting spectral induced-polarization data for Cole-Cole parameters

A comparison between Gauss-Newton and Markov-chain Monte Carlo–based methods for inverting spectral induced-polarization data for Cole-Cole parameters

Characterisation of a NAPL‐contaminated former quarry site using electrical impedance tomography

Induced polarization effect in reservoir rocks and its modeling based on generalized effective-medium theory

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