skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Influence of wettability on phase connectivity and electrical resistivity

Abstract

According to the article, experimental results have shown that resistivity index can deviate from Archie's law at low conductive phase saturation. Previous works have claimed that wettability and flow history are the two main factors causing this phenomenon. Herein, we investigate how the underlying fluid morphology influences electrical resistivity. We start from digital synchrotron x-ray microcomputed tomography images at different conductive phase saturations. We then simulate two-phase flow at different Capillary numbers and wettabilities to investigate deviations in resistivity index. We discover that other than water saturation the connectivity of water quantified by Euler characteristic is an important parameter in determining electrical resistivity for intermediate to purely oil-wet conditions. Deviations in electrical resistivity are found to start at low Capillary number (Ca∼10−5) for intermediate and oil-wet conditions for the full range of water saturations. We study correlations between resistivity index, saturation, and Euler characteristic by using the Pearson product-moment correlation and a linear regression model. We find a strong correlation between water saturation and resistivity index for the water-wet case while for the intermediate and oil-wet cases a strong correlation between Euler characteristic and resistivity index was observed. The results are explained in terms of percolation theory and a generalmore » relationship for resistivity index is proposed for intermediate-wet to oil-wet systems whereby the percolation parameter is normalized Euler characteristic. The findings explain previously observed deviations in resistivity index measurements and allow for a means to predict Euler characteristic from laboratory core-scale experiments using the proposed percolation model.« less

Authors:
 [1];  [2];  [1]
  1. Univ. of New South Wales, Sydney, NSW (Australia). School of Minerals and Energy Resources Engineering
  2. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States). Advanced Research Coputing
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); UT-Battelle LLC/ORNL, Oak Ridge, TN (Unted States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1565774
DOE Contract Number:  
AC05-00OR22725
Resource Type:
Journal Article
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 98; Journal Issue: 4; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
Physics

Citation Formats

Liu, Zhishang, McClure, James E., and Armstrong, Ryan T. Influence of wettability on phase connectivity and electrical resistivity. United States: N. p., 2018. Web. doi:10.1103/physreve.98.043102.
Liu, Zhishang, McClure, James E., & Armstrong, Ryan T. Influence of wettability on phase connectivity and electrical resistivity. United States. doi:10.1103/physreve.98.043102.
Liu, Zhishang, McClure, James E., and Armstrong, Ryan T. Mon . "Influence of wettability on phase connectivity and electrical resistivity". United States. doi:10.1103/physreve.98.043102.
@article{osti_1565774,
title = {Influence of wettability on phase connectivity and electrical resistivity},
author = {Liu, Zhishang and McClure, James E. and Armstrong, Ryan T.},
abstractNote = {According to the article, experimental results have shown that resistivity index can deviate from Archie's law at low conductive phase saturation. Previous works have claimed that wettability and flow history are the two main factors causing this phenomenon. Herein, we investigate how the underlying fluid morphology influences electrical resistivity. We start from digital synchrotron x-ray microcomputed tomography images at different conductive phase saturations. We then simulate two-phase flow at different Capillary numbers and wettabilities to investigate deviations in resistivity index. We discover that other than water saturation the connectivity of water quantified by Euler characteristic is an important parameter in determining electrical resistivity for intermediate to purely oil-wet conditions. Deviations in electrical resistivity are found to start at low Capillary number (Ca∼10−5) for intermediate and oil-wet conditions for the full range of water saturations. We study correlations between resistivity index, saturation, and Euler characteristic by using the Pearson product-moment correlation and a linear regression model. We find a strong correlation between water saturation and resistivity index for the water-wet case while for the intermediate and oil-wet cases a strong correlation between Euler characteristic and resistivity index was observed. The results are explained in terms of percolation theory and a general relationship for resistivity index is proposed for intermediate-wet to oil-wet systems whereby the percolation parameter is normalized Euler characteristic. The findings explain previously observed deviations in resistivity index measurements and allow for a means to predict Euler characteristic from laboratory core-scale experiments using the proposed percolation model.},
doi = {10.1103/physreve.98.043102},
journal = {Physical Review E},
issn = {2470-0045},
number = 4,
volume = 98,
place = {United States},
year = {2018},
month = {10}
}

Works referenced in this record:

The Electrical Resistivity Log as an Aid in Determining Some Reservoir Characteristics
journal, December 1942

  • Archie, G. E.
  • Transactions of the AIME, Vol. 146, Issue 01
  • DOI: 10.2118/942054-G

Electrical resistivity survey in soil science: a review
journal, September 2005


Mapping groundwater contamination using dc resistivity and VLF geophysical methods–A case study
journal, January 1997

  • Benson, Alvin K.; Payne, Kelly L.; Stubben, Melissa A.
  • GEOPHYSICS, Vol. 62, Issue 1
  • DOI: 10.1190/1.1444148

Effect of Wettability on the Electrical Resistivity of Carbonate rock from a Petroleum Reservoir
journal, May 1960

  • Sweeney, S. A.; Jennings, H. Y.
  • The Journal of Physical Chemistry, Vol. 64, Issue 5
  • DOI: 10.1021/j100834a009

Influence of Wettability on Two- and Four-Electrode Resistivity Measurements on Berea Sandstone Plugs
journal, December 1991

  • Jun-Zhi, Wei; Lile, Ole B.
  • SPE Formation Evaluation, Vol. 6, Issue 04
  • DOI: 10.2118/21628-PA

Laboratory investigation of wettability and hysteresis effects on resistivity index and capillary pressure characteristics
journal, December 1999


Network modelling of wettability and pore geometry effects on electrical resistivity and capillary pressure
journal, December 1999


Percolation Effects of Grain Contacts in Partially Saturated Sandstones: Deviations from Archie’s Law
journal, November 2012


Beyond Darcy's law: The role of phase topology and ganglion dynamics for two-fluid flow
journal, October 2016


Pore-Scale Characterization of Two-Phase Flow Using Integral Geometry
journal, March 2017


Pore connectivity, electrical conductivity, and partial water saturation: Network simulations: PORE CONNECTIVITY AND WATER SATURATION
journal, June 2015

  • Li, M.; Tang, Y. B.; Bernabé, Y.
  • Journal of Geophysical Research: Solid Earth, Vol. 120, Issue 6
  • DOI: 10.1002/2014JB011799

Real-time 3D imaging of Haines jumps in porous media flow
journal, February 2013

  • Berg, S.; Ott, H.; Klapp, S. A.
  • Proceedings of the National Academy of Sciences, Vol. 110, Issue 10
  • DOI: 10.1073/pnas.1221373110

Pore-scale capillary pressure analysis using multi-scale X-ray micromotography
journal, June 2017


Accurate estimation of transport properties from microtomographic images
journal, September 2001

  • Arns, Christoph H.; Knackstedt, Mark A.; Pinczewski, M. Val
  • Geophysical Research Letters, Vol. 28, Issue 17
  • DOI: 10.1029/2001GL012987

A critical review of the pseudopotential multiphase lattice Boltzmann model: Methods and applications
journal, September 2014


Modeling of Pore-Scale Two-Phase Phenomena Using Density Functional Hydrodynamics
journal, March 2016


Dynamic fluid connectivity during steady-state multiphase flow in a sandstone
journal, July 2017

  • Reynolds, Catriona A.; Menke, Hannah; Andrew, Matthew
  • Proceedings of the National Academy of Sciences, Vol. 114, Issue 31
  • DOI: 10.1073/pnas.1702834114

Lattice Boltzmann simulations of liquid CO2 displacing water in a 2D heterogeneous micromodel at reservoir pressure conditions
journal, May 2018


Footprints of spontaneous fluid redistribution on capillary pressure in porous rock: SPONTANEOUS FLUID REDISTRIBUTION
journal, May 2017

  • Helland, Johan Olav; Friis, Helmer André; Jettestuen, Espen
  • Geophysical Research Letters, Vol. 44, Issue 10
  • DOI: 10.1002/2017GL073442

Pore-scale displacement mechanisms as a source of hysteresis for two-phase flow in porous media: FLUID TOPOLOGY
journal, March 2016

  • Schlüter, S.; Berg, S.; Rücker, M.
  • Water Resources Research, Vol. 52, Issue 3
  • DOI: 10.1002/2015WR018254

Linking pore-scale interfacial curvature to column-scale capillary pressure
journal, September 2012


Geometric state function for two-fluid flow in porous media
journal, August 2018


X-ray Microtomography of Intermittency in Multiphase Flow at Steady State Using a Differential Imaging Method: FLOW INTERMITTENCY AT STEADY STATE
journal, December 2017

  • Gao, Ying; Lin, Qingyang; Bijeljic, Branko
  • Water Resources Research, Vol. 53, Issue 12
  • DOI: 10.1002/2017WR021736

Topological Characterization of Fractured Coal: Topological Characterization of Coal
journal, December 2017

  • Jing, Yu; Armstrong, Ryan T.; Ramandi, Hamed L.
  • Journal of Geophysical Research: Solid Earth, Vol. 122, Issue 12
  • DOI: 10.1002/2017JB014667

Geometric and dielectric characterization of porous media
journal, July 1991


Quantification of soil structure based on Minkowski functions
journal, October 2010


Permeability of Porous Materials Determined from the Euler Characteristic
journal, December 2012


A novel heterogeneous algorithm to simulate multiphase flow in porous media on multicore CPU–GPU systems
journal, July 2014

  • McClure, J. E.; Prins, J. F.; Miller, C. T.
  • Computer Physics Communications, Vol. 185, Issue 7
  • DOI: 10.1016/j.cpc.2014.03.012

Tracking interface and common curve dynamics for two-fluid flow in porous media
journal, April 2016

  • McClure, J. E.; Berrill, M. A.; Gray, W. G.
  • Journal of Fluid Mechanics, Vol. 796
  • DOI: 10.1017/jfm.2016.212

Subsecond pore-scale displacement processes and relaxation dynamics in multiphase flow
journal, December 2014

  • Armstrong, Ryan T.; Ott, Holger; Georgiadis, Apostolos
  • Water Resources Research, Vol. 50, Issue 12
  • DOI: 10.1002/2014WR015858

Comparison of residual oil cluster size distribution, morphology and saturation in oil-wet and water-wet sandstone
journal, June 2012

  • Iglauer, S.; Fernø, M. A.; Shearing, P.
  • Journal of Colloid and Interface Science, Vol. 375, Issue 1
  • DOI: 10.1016/j.jcis.2012.02.025

Dynamics of Oil Ganglia During Immiscible Displacement in Water-Wet Porous Media
journal, January 1982


Cross-property correlations and permeability estimation in sandstone
journal, October 2005


Macroscopic Phase-Field Model of Partial Wetting: Bubbles in a Capillary Tube
journal, April 2012


Developing a virtual materials laboratory
journal, December 2007


Effect of fluid topology on residual nonwetting phase trapping: Implications for geologic CO2 sequestration
journal, December 2013


Efficiently engineering pore-scale processes: The role of force dominance and topology during nonwetting phase trapping in porous media
journal, May 2015


On the analysis of spatial binary images
journal, September 2001


Computation of Minkowski Measures on 2d and 3d Binary Images
journal, June 2007

  • Legland, David; Kiêu, Kiên; Devaux, Marie-Françoise
  • Image Analysis & Stereology, Vol. 26, Issue 2
  • DOI: 10.5566/ias.v26.p83-92

Utilizing Minkowski functionals for image analysis: a marching square algorithm
journal, December 2008


Effect of Overburden Pressure and the Nature and Microscopic Distribution of Fluids on Electrical Properties of Rock Samples
journal, June 1989

  • Longeron, D. G.; Argaud, M. J.; Feraud, J. -P.
  • SPE Formation Evaluation, Vol. 4, Issue 02
  • DOI: 10.2118/15383-PA

Direct relations between morphology and transport in Boolean models
journal, October 2015


Percolating length scales from topological persistence analysis of micro‐ CT images of porous materials
journal, January 2016

  • Robins, Vanessa; Saadatfar, Mohammad; Delgado‐Friedrichs, Olaf
  • Water Resources Research, Vol. 52, Issue 1
  • DOI: 10.1002/2015WR017937

Simulation and theory of two-phase flow in porous media
journal, December 1992


Percolation theory of two phase flow in porous media
journal, January 1981


Flow regimes and relative permeabilities during steady-state two-phase flow in porous media
journal, June 1995


Physics of Oil Entrapment in Water-Wet Rock
journal, February 1987

  • Mohanty, K. K.; Davis, H. T.; Scriven, L. E.
  • SPE Reservoir Engineering, Vol. 2, Issue 01
  • DOI: 10.2118/9406-PA

Capillary pressure, hysteresis and residual saturation in porous media
journal, January 2006


Equation of State for Relative Permeability, Including Hysteresis and Wettability Alteration
journal, December 2017

  • Khorsandi, Saeid; Li, Liwei; Johns, Russell T.
  • SPE Journal, Vol. 22, Issue 06
  • DOI: 10.2118/182655-PA