Ultrasonic S-Wave to Obtain Shear Modulus and Matrix Permeability of D’Euville Limestone

In this paper, velocity and attenuation of ultrasonic S-wave in a water-saturated rock are used for calculating shear modulus and matrix permeability of the rock, via a model improved from Biot theory. The model requires two inputs, i.e., the dry velocity of S-wave and the average distance of apertu...

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Main Authors: Guangquan Li, Yifang Miao, Ruoyu Li
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Geofluids
Online Access:http://dx.doi.org/10.1155/2022/5126760
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author Guangquan Li
Yifang Miao
Ruoyu Li
author_facet Guangquan Li
Yifang Miao
Ruoyu Li
author_sort Guangquan Li
collection DOAJ
description In this paper, velocity and attenuation of ultrasonic S-wave in a water-saturated rock are used for calculating shear modulus and matrix permeability of the rock, via a model improved from Biot theory. The model requires two inputs, i.e., the dry velocity of S-wave and the average distance of aperture representing pores, to yield phase velocity and the quality factor as functions of frequency. By fitting the predicted velocity and quality factor against the ultrasonically measured counterparts, the dry velocity of S-wave and the average distance of aperture are ascertained, which in turn yield shear modulus and matrix permeability, respectively. The modeling results on D’Euville limestone from France show that the specimen has shear modulus of 11.35 and 11.55 GPa (under differential pressures of 3 and 5 MPa, respectively) and matrix permeability of 0.0486 Darcy (under both differential pressures). The matrix permeability appears to be approximately one half of Darcy permeability.
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institution Kabale University
issn 1468-8123
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Geofluids
spelling doaj-art-1c1ba1ab736047f6aeaf358721b8d3802025-02-03T07:25:03ZengWileyGeofluids1468-81232022-01-01202210.1155/2022/5126760Ultrasonic S-Wave to Obtain Shear Modulus and Matrix Permeability of D’Euville LimestoneGuangquan Li0Yifang Miao1Ruoyu Li2Department of GeophysicsDepartment of GeophysicsDepartment of GeophysicsIn this paper, velocity and attenuation of ultrasonic S-wave in a water-saturated rock are used for calculating shear modulus and matrix permeability of the rock, via a model improved from Biot theory. The model requires two inputs, i.e., the dry velocity of S-wave and the average distance of aperture representing pores, to yield phase velocity and the quality factor as functions of frequency. By fitting the predicted velocity and quality factor against the ultrasonically measured counterparts, the dry velocity of S-wave and the average distance of aperture are ascertained, which in turn yield shear modulus and matrix permeability, respectively. The modeling results on D’Euville limestone from France show that the specimen has shear modulus of 11.35 and 11.55 GPa (under differential pressures of 3 and 5 MPa, respectively) and matrix permeability of 0.0486 Darcy (under both differential pressures). The matrix permeability appears to be approximately one half of Darcy permeability.http://dx.doi.org/10.1155/2022/5126760
spellingShingle Guangquan Li
Yifang Miao
Ruoyu Li
Ultrasonic S-Wave to Obtain Shear Modulus and Matrix Permeability of D’Euville Limestone
Geofluids
title Ultrasonic S-Wave to Obtain Shear Modulus and Matrix Permeability of D’Euville Limestone
title_full Ultrasonic S-Wave to Obtain Shear Modulus and Matrix Permeability of D’Euville Limestone
title_fullStr Ultrasonic S-Wave to Obtain Shear Modulus and Matrix Permeability of D’Euville Limestone
title_full_unstemmed Ultrasonic S-Wave to Obtain Shear Modulus and Matrix Permeability of D’Euville Limestone
title_short Ultrasonic S-Wave to Obtain Shear Modulus and Matrix Permeability of D’Euville Limestone
title_sort ultrasonic s wave to obtain shear modulus and matrix permeability of d euville limestone
url http://dx.doi.org/10.1155/2022/5126760
work_keys_str_mv AT guangquanli ultrasonicswavetoobtainshearmodulusandmatrixpermeabilityofdeuvillelimestone
AT yifangmiao ultrasonicswavetoobtainshearmodulusandmatrixpermeabilityofdeuvillelimestone
AT ruoyuli ultrasonicswavetoobtainshearmodulusandmatrixpermeabilityofdeuvillelimestone