A new generalized equation for estimation of sandstone and carbonate permeability from mercury intrusion porosimetry dat

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ORIGINAL PAPER - PRODUCTION ENGINEERING

A new generalized equation for estimation of sandstone and carbonate permeability from mercury intrusion porosimetry data Mohammad Saki1 · Saman Siahpoush2 · Ali Reza Khaz’ali3  Received: 14 November 2019 / Accepted: 28 April 2020 © The Author(s) 2020

Abstract The reservoir rock cuttings can be characterized using mercury intrusion porosimetry (MIP). MIP tests do not yield the permeability of the sample directly; however, MIP results could be used to estimate permeability using empirical equations. Such effort has been attempted in several researches. Most of them have been performed on sandstones or carbonates solely. Therefore, a comprehensive study accounting for both types of reservoir rocks is missing. In the current research, MIP data of 187 sandstone, limestone, and dolomite samples with a wide range of permeability (from 0.001 to 2000 mD), and porosity (from 1 to 32%) taken from 8 Iranian gas and oil fields were used to develop a new generalized equation for estimating uncorrected gas permeability. We have concluded that in addition to the porosity, pore throat radii corresponding to a mercury saturation of 35% (r35) has the highest correlation with the permeability of the samples. The proposed equation was validated by data from another 21 carbonate and 9 sandstone rock samples. A comparison between our equation and other commonly used similar empirical equations showed the proposed equation has the highest precision in the estimation of permeability of all rock types. The findings of this study can be used to predict reservoir rock permeability from easily accessible and inexpensive drill cutting with acceptable precision. Additionally, the proposed equation is applicable in welllog interpretations and reserve determinations. Keywords  Absolute permeability · Bundle of tubes model · Drill cutting · Mercury intrusion porosimetry · Pore/throat radius · Porosity

Introduction Permeability is the flow capacity of a reservoir. Without accurate measurement of rock permeability, valid predictions of reservoir performance cannot be achieved. Well testing, core analysis, and well logging are the most common methods of reservoir rock permeability measurement. While well testing and core analysis measure the permeability directly, the response of well logging tools gives an estimation of the reservoir permeability. Since all of these are expensive, especially the well testing and the core analysis * Ali Reza Khaz’ali [email protected]; [email protected] 1



Data & Consulting Services Segment, Well Services of Iran (Schlumberger Methods), Tehran 1967733825, Iran

2



Special Core Analysis, MAPSA, Pardis Technology Park, Tehran 1657167146, Iran

3

Department of Chemical Engineering, Isfahan University of Technology, Isfahan 84156‑83111, Iran



tests, researchers have attempted to find inexpensive and efficient alternative approaches to estimate rock permeability. Mercury intrusion porosimetry (MIP) is a well-known technique to characterize porous media. It descri