Research output: Contribution to journal › Article › peer-review
Upscaling of spectral induced polarization response using randomtube networks. / Maineult, Alexis; Revil, Andre; Camerlynck, Christian; Florsch, Nicolas; Titov, Konstantin.
In: Geophysical Journal International, Vol. 209, No. 2, 17.02.2017, p. 948–960.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Upscaling of spectral induced polarization response using randomtube networks
AU - Maineult, Alexis
AU - Revil, Andre
AU - Camerlynck, Christian
AU - Florsch, Nicolas
AU - Titov, Konstantin
PY - 2017/2/17
Y1 - 2017/2/17
N2 - In order to upscale the induced polarization (IP) response of porous media, from the pore scale to the sample scale, we implement a procedure to compute the macroscopic complex resistivity response of random tube networks. A network is made of a 2-D square-meshed grid of connected tubes, which obey to a given tube radius distribution. In a simplified approach, the electrical impedance of each tube follows a local Pelton resistivity model, with identical resistivity, chargeability and Cole–Cole exponent values for all the tubes—only the time constant varies, as it depends on the radius of each tube and on a diffusion coefficient also identical for all the tubes. By solving the conservation law for the electrical charge, the macroscopic IP response of the network is obtained.We fit successfully the macroscopic complex resistivity also by a Pelton resistivity model. Simulations on uncorrelated and correlated networks, for which the tube radius distribution is so that the decimal logarithm of the radius is normal
AB - In order to upscale the induced polarization (IP) response of porous media, from the pore scale to the sample scale, we implement a procedure to compute the macroscopic complex resistivity response of random tube networks. A network is made of a 2-D square-meshed grid of connected tubes, which obey to a given tube radius distribution. In a simplified approach, the electrical impedance of each tube follows a local Pelton resistivity model, with identical resistivity, chargeability and Cole–Cole exponent values for all the tubes—only the time constant varies, as it depends on the radius of each tube and on a diffusion coefficient also identical for all the tubes. By solving the conservation law for the electrical charge, the macroscopic IP response of the network is obtained.We fit successfully the macroscopic complex resistivity also by a Pelton resistivity model. Simulations on uncorrelated and correlated networks, for which the tube radius distribution is so that the decimal logarithm of the radius is normal
KW - Electrical properties
KW - Hydrogeophysics
KW - Numerical modelling.
U2 - 10.1093/gji/ggx066
DO - 10.1093/gji/ggx066
M3 - Article
VL - 209
SP - 948
EP - 960
JO - Geophysical Journal International
JF - Geophysical Journal International
SN - 0956-540X
IS - 2
ER -
ID: 7739492