Theory of transient streaming potentials associated with axial-symmetric flow in unconfined aquifers

Malama, Bwalya; Kuhlman, Kristopher L; Revil, A.

doi:10.1111/j.1365-246x.2009.04336.x

Cited by 37 publications

(36 citation statements)

References 40 publications

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“…Annan 2005), or to ground water flow, such as self‐potential (e.g. Malama et al 2009a,b), only a few methods, such as nuclear magnetic resonance (e.g. Stingaciu et al 2010), seem to exhibit a more or less direct sensitivity to permeability (e.g.…”

Section: Introductionmentioning

confidence: 99%

Relating the permeability of quartz sands to their grain size and spectral induced polarization characteristics

Koch¹,

Revil

Holliger³

2012

Geophysical Journal International

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S U M M A R YRecently, Revil & Florsch proposed a novel mechanistic model based on the polarization of the Stern layer relating the permeability of granular media to their spectral induced polarization (SIP) characteristics based on the formation of polarized cells around individual grains. To explore the practical validity of this model, we compare it to pertinent laboratory measurements on samples of quartz sands with a wide range of granulometric characteristics. In particular, we measure the hydraulic and SIP characteristics of all samples both in their loose, noncompacted and compacted states, which might allow for the detection of polarization processes that are independent of the grain size. We first verify the underlying grain size/permeability relationship upon which the model of Revil & Florsch is based and then proceed to compare the observed and predicted permeability values for our samples by substituting the grain size characteristics by corresponding SIP parameters, notably the so-called Cole-Cole time constant. In doing so, we also asses the quantitative impact of an observed shift in the ColeCole time constant related to textural variations in the samples and observe that changes related to the compaction of the samples are not relevant for the corresponding permeability predictions. We find that the proposed model does indeed provide an adequate prediction of the overall trend of the observed permeability values, but underestimates their actual values by approximately one order-of-magnitude. This discrepancy in turn points to the potential importance of phenomena, which are currently not accounted for in the model and which tend to reduce the characteristic size of the prevailing polarization cells compared to the considered model, such as, for example, membrane polarization, contacts of double-layers of neighbouring grains, and incorrect estimation of the size of the polarized cells because of the irregularity of natural sand grains.

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Section: Introductionmentioning

confidence: 99%

Relating the permeability of quartz sands to their grain size and spectral induced polarization characteristics

Koch¹,

Revil

Holliger³

2012

Geophysical Journal International

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“…Moench [36] took into account the effect of large-diameter well and developed mathematical models for flow in an aquifer system, where semipervious layers are located above and below the main pumped aquifer. In addition, there are some other studies associated with the CRT in confined aquifers [17,[37][38][39][40], in unconfined aquifers [41,42], and in leaky and multilayered aquifers [39,[43][44][45][46].…”

Section: Constant Rate Testmentioning

confidence: 99%

“…Yeh and Chang [10] presented analytical solutions, developed via finite Fourier sine transform and Hankel transform, for describing hydraulic head due to pumping in a wedge-shaped aquifer with an infinite radius. With the aid of Hankel transform and Laplace transform, Malama et al [46] presented a semi-analytical solution for the transient streaming potential response of an unconfined aquifer to the continuous pumping at a constant rate.…”

Section: Hankel Transformmentioning

confidence: 99%

Recent advances in modeling of well hydraulics

Yeh¹,

Chang²

2013

Advances in Water Resources

124

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“…This notwithstanding, the model of Malama et al . [] was used to aquifer properties from SP data collected during pumping tests at the Boise Hydrogeophysical Research Site (BHRS).…”

Section: Introductionmentioning

confidence: 99%

“…This work extends the development of Malama et al . [] by accounting for flow in the unsaturated zone. Revil et al .…”

Section: Introductionmentioning

confidence: 99%

Theory of transient streaming potentials in coupled unconfined aquifer‐unsaturated zone flow to a well

Malama

2014

Water Resources Research

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A semianalytical solution is presented for transient streaming potentials associated with flow to a pumping well in an unconfined aquifer, taking into account the effect of flow in the unsaturated zone above the water table. Flow in the unsaturated zone is modeled with a linearized form of Richards' equation using an exponential model for soil moisture retention and unsaturated hydraulic conductivity. Archie's law is invoked for unsaturated electrical conductivity. The unsaturated electrokinetic coupling coefficient is modeled with a decaying exponential, where the maximum value is at and below the water table. The coupled flow and electrokinetic problem is solved using Laplace and Hankel transforms. The results of the model predicted behavior are presented and compared to that observed in laboratory simulations of pumping tests. The early time polarity reversal predicted the model is observable in the experiments. Other nonmonotonic streaming potential behaviors predicted by the model are also evident in experimental measurements. The model is used to estimate hydraulic parameters from SP data and these compare well to those obtained from drawdown data. For example, a hydraulic conductivity of 3.6 3 10

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Theory of transient streaming potentials associated with axial-symmetric flow in unconfined aquifers

Cited by 37 publications

References 40 publications

Relating the permeability of quartz sands to their grain size and spectral induced polarization characteristics

Relating the permeability of quartz sands to their grain size and spectral induced polarization characteristics

Recent advances in modeling of well hydraulics

Theory of transient streaming potentials in coupled unconfined aquifer‐unsaturated zone flow to a well

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