Three‐dimensional resistor network modeling of the resistivity and permeability of fractured rocks

Kirkby, Alison; Heinson, Graham

doi:10.1002/2016jb013854

Cited by 24 publications

(11 citation statements)

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“…The obtained permeability values span over 3 orders of magnitude. This is typical of equivalent permeability results (Kirkby & Heinson, 2017), as opposed to effective permeability results (see Lang et al, 2014, for a discussion on the difference between effective and equivalent permeability). The latter are typically characterized by a much narrower standard deviation for large, statistically identical populations (Mourzenko et al, 2011).…”

Section: 1029/2018wr023189mentioning

confidence: 82%

Relationship Between the Orientation of Maximum Permeability and Intermediate Principal Stress in Fractured Rocks

Lang

Paluszny

Nejati

et al. 2018

Water Resources Research

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Flow and transport properties of fractured rock masses are a function of geometrical structures across many scales. These structures result from physical processes and states and are highly anisotropic in nature. Fracture surfaces often tend to be shifted with respect to each other, which is generally a result of stress‐induced displacements. This shift controls the fracture's transmissivity through the pore space that forms from the created mismatch between the surfaces. This transmissivity is anisotropic and greater in the direction perpendicular to the displacement. A contact mechanics‐based, first‐principle numerical approach is developed to investigate the effects that this shear‐induced transmissivity anisotropy has on the overall permeability of a fractured rock mass. Deformation of the rock and contact between fracture surfaces is computed in three dimensions at two scales. At the rock mass scale, fractures are treated as planar discontinuities along which displacements and tractions are resolved. Contact between the individual rough fracture surfaces is solved for each fracture at the small scale to find the stiffness and transmissivity that result from shear‐induced dilation and elastic compression. Results show that, given isotropic fracture networks, the direction of maximum permeability of a fractured rock mass tends to be aligned with the direction of the intermediate principal stress. This reflects the fact that fractures have the most pronounced slip in the plane of the maximum and minimum principal stresses, and for individual fractures transmissivity is most pronounced in the direction perpendicular to this slip.

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Section: 1029/2018wr023189mentioning

confidence: 82%

Relationship Between the Orientation of Maximum Permeability and Intermediate Principal Stress in Fractured Rocks

Lang

Paluszny

Nejati

et al. 2018

Water Resources Research

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“…Saline fluids can reduce the resistivity in porous sedimentary rocks or in permeable fractured rocks (e.g., Caldwell et al, ; Hyndman & Shearer, ; Heise et al, ; Kirkby et al, ; Kirkby & Heinson, ; Ussher et al, ). Hyndman and Shearer () determined that 10‐km‐thick conductive layers at 20‐ to 30‐km depth with conductivities of 20–30 Ωm can be explained with 0.5–3% pore fluid water assuming a fluid with a resistivity of 0.02 Ωm (based on the salinity of sea water, 3%, at lower crustal conditions, i.e., 500 ° C and 0.6–1.0 GPa).…”

Section: Discussionmentioning

confidence: 99%

Crustal Structure of the Eastern Arunta Region, Central Australia, From Magnetotelluric, Seismic, and Magnetic Data

Kirkby

Duan

2019

JGR Solid Earth

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We present a 3‐D inversion of magnetotelluric data acquired along a 340‐km transect in Central Australia. The results are interpreted with a coincident deep crustal seismic reflection survey and magnetic inversion. The profile crosses three Paleoproterozoic to Mesoproterozoic basement provinces, the Davenport, Aileron, and Warumpi Provinces, which are overlain by remnants of the Neoproterozoic to Cambrian Centralian Surperbasin, the Georgina and Amadeus Basins, and the Irindina Province. The inversion shows conductors near the base of the Irindina Province that connect to moderately conductive pathways from 50‐km depth and to off‐profile conductors at shallower depths. The shallow conductors may reflect anisotropic resistivity and are interpreted as sulfide minerals in fractures and faults near the base of the Irindina Province. Beneath the Amadeus Basin, and in the Aileron Province, there are two conductors associated strong magnetic susceptibilities from inversions, suggesting they are caused by magnetic, conductive minerals such as magnetite or pyrrhotite. Beneath the Davenport Province, the inversion images a conductive layer from ∼15‐ to 40‐km depth that is associated with elevated magnetic susceptibility and high seismic reflectivity. The margins between the different basement provinces from previous seismic interpretations are evident in the resistivity model. The positioning and geometry of the southern margin of the crustal conductor beneath the Davenport Province supports the positioning of the south dipping Atuckera Fault as interpreted on the seismic data. Likewise, the interpreted north dipping margin between the Warumpi and Aileron Province is imaged as a transition from resistive to conductive crust, with a steeply north dipping geometry.

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“…The relationship between resistivity and permeability coefficient has been studied by scholars. Through the test of cement mixed soft clay and resistivity, the permeability of resistivity reaction is in good agreement with that of consolidation test [15].In order to understand the ability of rock to allow fluid to pass through, the resistivity and permeability characteristics are simulated to better understand the relationship between fractured rock and them [16].Taking structure factor and porosity as intermediate variables, calculate the relationship between permeability coefficient and resistivity of sand , and the feasibility of the formula is verified by experiments [17].At present, there are relatively few researches on the relationship between soil permeability and electrical resistivity, and the relationship between resistivity and other parameters is still in the initial stage, especially the research on the permeability and resistivity of heavy metal contaminated red clay is even less. Therefore, it is worth studying how to quickly detect its hydraulic conductivity.…”

Section: Introductionmentioning

confidence: 85%

Study on Permeability and Electrical Resistivity of Red Clay Contaminated by Cu2+

Ban

Chen

Song

et al. 2021

CEJ

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In order to study the permeability characteristics of heavy metal ions contaminated red clay and explore the rapid detection of permeability of heavy metal contaminated red clay. Through variable-head permeability test and electrical resistivity test (different voltages and methods), the effects of Cu2+ concentration and initial water content on hydraulic conductivity characteristic and resistivity of contaminated red clay was systematically investigated. The relationship between permeability characteristic and electrical resistivity was further explored by taking Cu2+ concentration and moisture content as the intermediate variable. The obtained results indicate that the different voltage has no obvious effect on the resistivity of the samples. The four-phase electrode method is more accurate than the two-phase electrode method. With increasing Cu2+ concentrations the hydraulic conductivity of specimens increases, however the permeability coefficient of contaminated soil decreases with increasing initial water content. In the resistivity test, with increasing of Cu2+ concentrations and water content, the resistivity of samples presented a downward trend, which is decreased sharply at first and then tended to be gentle. The relationship between hydraulic conductivity and resistivity of contaminated soil showed a good fitting curve no matter in different Cu2+ concentration or in different water content, but the fitting curves of them presented opposite trend.

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Three‐dimensional resistor network modeling of the resistivity and permeability of fractured rocks

Cited by 24 publications

References 50 publications

Relationship Between the Orientation of Maximum Permeability and Intermediate Principal Stress in Fractured Rocks

Relationship Between the Orientation of Maximum Permeability and Intermediate Principal Stress in Fractured Rocks

Crustal Structure of the Eastern Arunta Region, Central Australia, From Magnetotelluric, Seismic, and Magnetic Data

Study on Permeability and Electrical Resistivity of Red Clay Contaminated by Cu2+

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