Statistical characterization of gas-patch distributions in partially saturated rocks

Reservoir rocks are often saturated by two or more fluid phases forming complex patterns on all length scales. The objective of this work is to quantify the geometry of fluid phase distribution in partially saturated porous rocks using statistical methods and to model the associated acoustic signatu...

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Main Authors: Toms, Julianna, Muller, T., Gurevich, Boris, Paterson, L.
Format: Journal Article
Published: Society of Exploration Geophysics 2009
Online Access:http://hdl.handle.net/20.500.11937/40012
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author Toms, Julianna
Muller, T.
Gurevich, Boris
Paterson, L.
author_facet Toms, Julianna
Muller, T.
Gurevich, Boris
Paterson, L.
author_sort Toms, Julianna
building Curtin Institutional Repository
collection Online Access
description Reservoir rocks are often saturated by two or more fluid phases forming complex patterns on all length scales. The objective of this work is to quantify the geometry of fluid phase distribution in partially saturated porous rocks using statistical methods and to model the associated acoustic signatures. Based on X-ray tomographic images at submillimeter resolution obtained during a gas-injection experiment, the spatial distribution of the gas phase in initially water-saturated limestone samples are constructed. Maps of the continuous variation of the percentage of gas saturation are computed and associated binary maps obtained through a global thresholding technique. The autocorrelation function is derived via the two-point probability function computed from the binary gas-distribution maps using Monte Carlo simulations.The autocorrelation function can be approximated well by a single Debye correlation function or a superposition of two such functions. The characteristic length scales and show sensitivity (and hence significance) with respect to the percentage of gas saturation. An almost linear decrease of the Debye correlation length occurs with increasing gas saturation. It is concluded that correlation function and correlation length provide useful statistical information to quantify fluid-saturation patterns and changes in these patterns at the mesoscale. These spatial statistical measures are linked to a model that predicts compressional wave attenuation and dispersion from local, wave-induced fluid flow in randomly heterogeneous poroelastic solids. In particular, for a limestone sample, with flow permeability of 5 darcies and an average gas saturation of ~5%, significant P-wave attenuation is predicted at ultrasonic frequencies.
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institution Curtin University Malaysia
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publishDate 2009
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spelling curtin-20.500.11937-400122017-09-13T15:52:50Z Statistical characterization of gas-patch distributions in partially saturated rocks Toms, Julianna Muller, T. Gurevich, Boris Paterson, L. Reservoir rocks are often saturated by two or more fluid phases forming complex patterns on all length scales. The objective of this work is to quantify the geometry of fluid phase distribution in partially saturated porous rocks using statistical methods and to model the associated acoustic signatures. Based on X-ray tomographic images at submillimeter resolution obtained during a gas-injection experiment, the spatial distribution of the gas phase in initially water-saturated limestone samples are constructed. Maps of the continuous variation of the percentage of gas saturation are computed and associated binary maps obtained through a global thresholding technique. The autocorrelation function is derived via the two-point probability function computed from the binary gas-distribution maps using Monte Carlo simulations.The autocorrelation function can be approximated well by a single Debye correlation function or a superposition of two such functions. The characteristic length scales and show sensitivity (and hence significance) with respect to the percentage of gas saturation. An almost linear decrease of the Debye correlation length occurs with increasing gas saturation. It is concluded that correlation function and correlation length provide useful statistical information to quantify fluid-saturation patterns and changes in these patterns at the mesoscale. These spatial statistical measures are linked to a model that predicts compressional wave attenuation and dispersion from local, wave-induced fluid flow in randomly heterogeneous poroelastic solids. In particular, for a limestone sample, with flow permeability of 5 darcies and an average gas saturation of ~5%, significant P-wave attenuation is predicted at ultrasonic frequencies. 2009 Journal Article http://hdl.handle.net/20.500.11937/40012 10.1190/1.3073007 Society of Exploration Geophysics fulltext
spellingShingle Toms, Julianna
Muller, T.
Gurevich, Boris
Paterson, L.
Statistical characterization of gas-patch distributions in partially saturated rocks
title Statistical characterization of gas-patch distributions in partially saturated rocks
title_full Statistical characterization of gas-patch distributions in partially saturated rocks
title_fullStr Statistical characterization of gas-patch distributions in partially saturated rocks
title_full_unstemmed Statistical characterization of gas-patch distributions in partially saturated rocks
title_short Statistical characterization of gas-patch distributions in partially saturated rocks
title_sort statistical characterization of gas-patch distributions in partially saturated rocks
url http://hdl.handle.net/20.500.11937/40012