This paper presents the construction and verification of
a new better semi-analytical, statistically derived universal model than that
modified from Huet and Blasingame equation for estimating absolute permeability
from mercury injection capillary pressure data. The foundation of
my new model is the petrophysical relation between absolute permeability and
capillary-pressure/wetting phase saturation properties. I also incorporate
characteristics of capillary pressure behavior using the classic Brooks-Corey
power-law model. The final form of my new proposed model allowed us to predict
absolute permeability as a function of effective porosity, irreducible wetting
phase saturation, displacement or threshold pressure corresponding pore throat
radius, and basic pore size characteristics. I built my model using 189 sets of
mercury—injection (Hg-air) capillary pressure data and measured
permeability-including core samples from several reservoirs both carbonate and
sandstone lithologies. I identified this correlation by quantifying its
accuracy and precision based on regression analysis. I compared permeability
estimates obtained from Huet and Blasingame mercury-injection
capillary-pressure-based model and my new universal predicted permeability
model to a set of laboratory measured permeability of my studied core sample
and previously published data results respectively, where I quantified the
method’s accuracy and precision based on error analysis. The measured
permeability samples range is from 0.003 mD to 5341 mD. I review current
employed models that are classified as belonging to Poiseuille model.
Cite this paper
A. Lala, "Using Capillary Pressure Derived Parameters for Improving Permeability Prediction," International Journal of Geosciences
, Vol. 4 No. 9, 2013, pp. 1313-1320. doi: 10.4236/ijg.2013.49126
 E. W. Washburn, “The Dynamic of Capillary Flow,” Physical Review, Vol. 17, No. 3, 1921, p. 273.http://dx.doi.org/10.1103/PhysRev.17.273
 P. H. Nelson, “Permeability-Porosity Relationships in Sedimentary Rock,” The Log Analyst, May-June 1994, pp. 38-62.
 C. C. Huet, J. A. Rushing, K. E. Newsham and T. A. Blasingame, “A Modified Purcell/Burdine Model for Estimating Absolute Permeability from Mercury Injection Capillary Pressure Data,” Paper IPTC 10994 Presented at the 2005 International Technology Conference, Doha, 21-23 November 2005, 12 p.
 W. R. Purcell, “Capillary Pressure—Their Measurement Using Mercury and the Calculation of Permeability There Form,” Transaction of AIME, Vol. 1, No. 2, 1949, pp. 39-48.
 N. T. Burdine, “Relative Permeability Calculations from Pore Size Distribution Data,” Transaction of AIME, Vol. 5, No. 3, 1953, pp. 71-78.
 R. H. Brooks and A. T. Corey, “Properties of Porous Media Affecting Fluid Flow,” Journal of Irrigation and Drainage Engineering (ASCE), Vol. 92, No. 2, 1966, pp. 61-88.
 K. Nakornthap and R. D. Evans, “Temperature Dependant Relative Permeability and Its Effect on Oil Displacement by Thermal Methods,” Society of Petroleum Engineers, Vol. 1, 1986, pp. 230-242.
 G. E. Archie, “Introduction to Petrophysics of Reservoir Rocks,” AAPG Bulletin, Vol. 34, No. 5, 1950, pp. 943-961.
 J. B. Jennings, “Capillary Pressure Techniques: Application to Exploration and Development Geology,” The American Association of Petroleum Geologist Bulletin, Vol. 71, No. 10, 1987, pp. 1196-1209.
 J. H. M. Thomeer, “Introduction of a Pore Geometrical Factor Defined by a Capillary Pressure Curve,” Transaction of AIME, Vol. 219, No. 2057, 1960, pp. 354-358.
 J. H. M. Thomeer, “Air Permeability as a Function of Three Pore Network Parameters,” Journal of Petroleum Technology, Vol. 35, No. 4, 1983, pp. 809-814.
 M. C. Leverett, “Capillary Behavior in Porous Solids,” Transaction of AIME, Vol. 142, No. 1, 1941, pp. 341-358.
 L. J. Klinkenberg, “The Permeability of Porous Media to Liquids and Gases,” American Petroleum Institute, Drilling and Productions Practices, 1941, pp. 200-213.
 T. T. Schowalter, “Mechanics of Secondary Hydrocarbon Migration and Entrapment,” The American Association of Petroleum Geologist Bulletin, Vol. 63, No. 5, 1979, pp. 723-760.
 A. J. Katz and A. H. Thompson, “Quantitative Prediction of Permeability in Porous Rock,” Physical Review B, Vol. 34, No. 11, 1986, pp. 8179-8181.http://dx.doi.org/10.1103/PhysRevB.34.8179
 A. J. Katz and A. H. Thompson, “Prediction of Rock Electrical Conductivity from Mercury Injection Measurements,” Journal of Geophysical Research, Vol. 92, No. B1, 1987, pp. 599-607.http://dx.doi.org/10.1029/JB092iB01p00599
 E. D. Pittman, “Relationship of Porosity and Permeability to Various Parameters Derived from Mercury Injection-Capillary Pressure Curve for Sandstone,” The American Association of Petroleum Geologist Bulletin, Vol. 76, No. 2, 1992, pp. 191-198.
 A. H. Thompson, A. J. Katz and R. A. Raschke, “Estimation of Absolute Permeability from Capillary Pressure Measurements,” Paper SPE 16794 Presented at the 1987 SPE Annual Technical Conference and Exhibition, Dallas, 27-30 September 1987, 7 p.http://dx.doi.org/10.2118/16794-MS
 T. Wu, “Permeability Predication and Capillary Pressure Simulation Sandstone Reservoir,” Ph.D. Thesis, Texas A&M University, College Station, 2004.
 J. S. Bradley, R. W. Duschatko and H. H. Hinch, “Pocket Permeameter: Hand-Held Device for Rapid Measurement of Permeability,” The American Association of Petroleum Geologist Bulletin, Vol. 56, No. 3, 1972, pp. 568-571.