Advertisement

Transport in Porous Media

, Volume 67, Issue 1, pp 1–15 | Cite as

Determination of Capillary Pressure Function from Resistivity Data

  • Kewen LiEmail author
  • Wade Williams
Article

Abstract

A model has been derived theoretically to correlate capillary pressure and resistivity index based on the fractal scaling theory. The model is simple and predicts a power law relationship between capillary pressure and resistivity index (P c  =  p e · I β) in a specific range of low water saturation. To verify the model, gas-water capillary pressure and resistivity were measured simultaneously at a room temperature in 14 core samples from two formations in an oil reservoir. The permeability of the core samples ranged from 0.028 to over 3000 md. The porosity ranged from less than 8 to over 30. Capillary pressure curves were measured using a semi-permeable porous-plate technique. The model was tested against the experimental data obtained in this study. The results demonstrated that the model could match the experimental data in a specific range of low water saturation. The experimental results also support the fractal scaling theory in a low water saturation range. The new model developed in this study may be deployed to determine capillary pressure from resistivity data both in laboratories and reservoirs, especially in the case in which permeability is low or it is difficult to measure capillary pressure.

Keywords

capillary pressure resistivity well logging mathematical model fractal scaling 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Archie, G.E.: 1942, The Electrical Resistivity Log as an Aid in Determining Some Reservoir Characteristics, AIME Petroleum Tech. 1–8.Google Scholar
  2. Brooks R.H. and Corey A.T. (1966). Properties of Porous Media Affecting Fluid Flow. J. Irrig. Drain. Div. 6: 61Google Scholar
  3. Katz A.J. and Thompson A.H. (1985). Fractal Sandstone Pores: Implications for Conductivity and Pore Formation. Phys. Rev. Lett., 54: 1325–1328CrossRefGoogle Scholar
  4. Li, K.: 2004, Characterization of Rock Heterogeneity Using Fractal Geometry, SPE 86975, Proceedings of the 2004 SPE Western Region Meeting, March 16–18 Bakersfield, CA, USA.Google Scholar
  5. Li, K.: 2005, A Semianalytical Method to Calculate Relative Permeability from Resistivity Well Logs, SPE 95575, the 2005 SPE Annual Technical Conference and Exhibition, October 9–12. Dallas, TX, USA.Google Scholar
  6. Longeron, D.G., Argaud, M.J., and Bouvier, L.: 1989, Resistivity Index and Capillary Pressure Measurements under Reservoir Conditions using Crude Oil, SPE 19589, presented at the 1989 SPE Annual Technical Conference and Exhibition, October 8–11, San Antonio, TX, USA.Google Scholar
  7. Mandelbrot B. (1983). The Fractal Geometry of Nature. Freeman, New YorkGoogle Scholar
  8. Plotnick R.E., Gardner R.H., Hargrove W.W., Prestegaard K. and Perlmutter M. (1996). Lacunarity analysis: A general technique for the analysis of spatial patterns. Phys. Rev. E 53(5): 5461–5468CrossRefGoogle Scholar
  9. Szabo M.T. (1974) New Methods for Measuring Imbibition Capillary Pressure and Electrical Resistivity Curves by Centrifuge., SPEJ (June) 243–252.Google Scholar
  10. Toledo, G. T., Novy, R. A., Davis, H. T. and Scriven, L. E.: 1994, Capillary Pressure, Water Relative Permeability, Electrical Conductivity and Capillary Dispersion Coefficient of Fractal Porous Media at Low Wetting Phase Saturation, SPE Advanced Technology Series (SPE23675), 2(1), 136–141.Google Scholar
  11. Genuchten M.T. (1980). A Closed Form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils. Soil Sci. Soc. Am. J. 44: 892–898CrossRefGoogle Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Stanford University, Yangtze UniversityJingzhouChina
  2. 2.Core Lab, IncUSA

Personalised recommendations