Seismic reflectivity of a thin porous fluid‐saturated layer versus frequency

Goloshubin, Gennady; Bakulin, Andrey

doi:10.1190/1.1820656

Cited by 27 publications

(20 citation statements)

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“…However, field observations demonstrate anomalous seismic signal reflection from a thin fluid-saturated permeable layer in the low-frequency end of the spectrum, where the thickness of the reservoir is much smaller than a quarter of the wavelength. Moreover, frequency-dependent data analysis identifies the most productive spots in the reservoir (Goloshubin and Bakulin 1998;Goloshubin and Korneev 2000;Goloshubin et al 2001Goloshubin et al , 2002Goloshubin et al , 2006Goloshubin et al , 2008Castagna et al 2003;Goloshubin and Silin 2005;Wei et al 2009). In this study, we explain this seemingly abnormal reflection by the interaction between the elastic wave and fluid flow.…”

Section: Introductionmentioning

confidence: 89%

An Asymptotic Model of Seismic Reflection from a Permeable Layer

Silin

Goloshubin

2010

Transp Porous Med

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Analysis of compression wave propagation in a poroelastic medium predicts a peak of reflection from a high-permeability layer in the low-frequency end of the spectrum. An explicit formula expresses the resonant frequency through the elastic moduli of the solid skeleton, the permeability of the reservoir rock, the fluid viscosity and compressibility, and the reservoir thickness. This result is obtained through a low-frequency asymptotic analysis of Biot's model of poroelasticity. A review of the derivation of the main equations from the Hooke's law, momentum and mass balance equations, and Darcy's law suggests an alternative new physical interpretation of some coefficients of the classical poroelasticity. The velocity of wave propagation, the attenuation factor, and the wave number are expressed in the form of power series with respect to a small dimensionless parameter. The absolute value of this parameter is equal to the product of the kinematic reservoir fluid mobility and the wave frequency. Retaining only the leading terms of the series leads to explicit and relatively simple expressions for the reflection and transmission coefficients for a planar wave crossing an interface between two permeable media, as well as wave reflection from a thin highly permeable layer (a lens). Practical applications of the obtained asymptotic formulae are seismic modeling, inversion, and attribute analysis. Keywords Hooke's law · Darcy's law · Poroelasticity · Low frequency · Permeability · Asymptotic analysis · Seismic imaging This work is dedicated to the memory of V. M. Entov.

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Section: Introductionmentioning

confidence: 89%

An Asymptotic Model of Seismic Reflection from a Permeable Layer

Silin

Goloshubin

2010

Transp Porous Med

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“…It is well established that seismic waves passing through gas bearing strata exhibit anomalously high attenuation, which potentially serves as a hydrocarbon indicator (Hedlin et al 2001;Goloshubin and Bakulin 1998), especially in the case of quantitative attenuation measurements. In this paper, time-frequency analysis is introduced to estimate seismic wave attenuation in gas and water reservoirs.…”

Section: Introductionmentioning

confidence: 99%

Gas and water reservoir differentiation by time-frequency analysis: a case study in southwest China

Bing-jie

Zhang

et al. 2013

Acta Geod Geophys

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Since the favorable conditions of gas migration and accumulation in the deep Xujiahe formation of west Sichuan depression, a couple of high-yielding gas wells have been developed successfully, prime examples include X851, X856, X2, X3 and X10, which have confirmed the great exploration potential within the area. However, the appearance of some water production wells, such as CX565 and X201, has led to uncertainty within the reservoir prediction. Seismic signal based Time-frequency analysis has been used to distinguish the gas reservoir from water-bearing reservoir in Xujiahe formation. When the seismic wave propagates in the gas and water reservoir, it is difficult to identify the dynamic differences, in terms of amplitude, frequency and energy in the time field. Given that timefrequency analysis allows transformation of the seismic data from the time field into the time-frequency field, it is employed to highlight the seismic responses of gas reservoirs. Usually, the characteristics of 'low-frequency shadows' and 'high-frequency attenuation' are very obvious in gas reservoirs, while there is no such indication in water reservoirs, which can help to distinguish the gas reservoir from water reservoir. In this paper, we present the theoretical approaches and the in-situ model analyzing results, as well as, a case study. The application of time-frequency analysis on the deep Xujiahe formation in the western Sichuan Depression, provides robust indications for reservoir prediction of gas and water differentiation and validates investigation.

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“…It is well-known that both the transmission and reflection coefficients from a fluid-saturated porous medium are functions of frequency [19,16,39,13]. Recently, low-frequency signals were successfully used in obtaining high-resolution images of oil and gas reservoirs [20,21,11] and in monitoring underground gas storage [25]. Therefore, understanding the behavior of the reflection coefficient at the low-frequency end of the seismic spectrum is of special importance.…”

Section: Introductionmentioning

confidence: 99%

Low-Frequency Asymptotic Analysis of Seismic Reflection from a Fluid-Saturated Medium

et al. 2006

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Abstract. A low-frequency asymptotic representation of the reflection of seismic signal from a fluid-saturated porous medium has been obtained.First, derivation of the main equations of the theory of poroelasticity and the pressure diffusion equation, which is routinely used in well-test analysis, has been reviewed. It has been observed that both models can be derived from the basic principles of filtration theory. In addition, Biot's tortuosity parameter has been related to the relaxation time in the dynamic Darcy's law.Second, the reflection of a low-frequency signal from a plane interface between elastic and elastic fluid-saturated porous media has been studied. An asymptotic scaling of the frequency-dependent component of the reflection coefficient has been obtained. Namely, it has been established that this component is asymptotically proportional to the square root of the product of the reservoir fluid mobility and the frequency of the signal. The dependence of this scaling on the dynamic Darcy's low relaxation time and the Biot's tortuosity factor has been investigated as well.

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Seismic reflectivity of a thin porous fluid‐saturated layer versus frequency

Cited by 27 publications

References 8 publications

An Asymptotic Model of Seismic Reflection from a Permeable Layer

An Asymptotic Model of Seismic Reflection from a Permeable Layer

Gas and water reservoir differentiation by time-frequency analysis: a case study in southwest China

Low-Frequency Asymptotic Analysis of Seismic Reflection from a Fluid-Saturated Medium

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