Elastic parameter AVO approximations and their applications

Chen, Haifeng; Yue, Yuanyuan; Li, Yanpeng; Xiu-li, LU; Sun, Peng

doi:10.1190/1.3063708

Cited by 3 publications

(3 citation statements)

References 9 publications

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“…[4] equation was rearranged in terms of Pseudo Poisson' ratio reflectivity , rigidity reflectivity , and density reflectivity . These properties are lithology and fluid discriminators [38].…”

Section: Methodsmentioning

confidence: 99%

Reflectivity Cross Plot of Modified Zoeppritz Equation

Balogun

2023

JGEESI

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Beside the complexities and not readily practical applications resulting from the full Zoeppritz equation, the seismic amplitude reflection does not give enough information beyond the critical angle. Consequently, there are breakdown of the Zoeppritz equation approximations at angle of incidence beyond (Shuey’s approximation). More so, the validity is only for slight contrast in elastic parameters across the formations and small angle of incidence is assumed. In an attempt to address these inaccuracies and enhance understanding of seismic reservoir responses and prediction of fluid and lithology, a modified form of the Zoeppritz equation is derived using relations between elastic constants and velocities in terms of Pseudo Poisson’ ratio reflectivity, rigidity reflectivity, density reflectivity in linearized forms devoid of the complexities associated with the original Zoeppritz equation with practical applications in hydrocarbon exploration, exploitation and production. These properties are lithology and fluid discriminators. The modified Zoeppritz equation was analyzed using well data from oil field in a sedimentary basin, onshore of Niger Delta area. Reflectivity crossplot was carried out and comparison with the exact and other approximations was done to validate the derived equation. The results showed that the modified equation can be applied in exploration beyond the critical angle than the shuey’s and Aki & Richards’ approximations especially for deep targets and wide angle acquisition for accurate estimation of intercept and gradient attributes. The modified Zoeppritz equation in this study gives higher accuracy at far offset than the two foremost approximations.

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Section: Methodsmentioning

confidence: 99%

Reflectivity Cross Plot of Modified Zoeppritz Equation

Balogun

2023

JGEESI

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“…Pengyuan et al rearranged the Aki‐Richards equation in term of, Lame's constant ( λ ), shear modulus (µ) and density ( ρ ) as given below.

R_{P P}^{P} (θ) = \frac{1}{4} \sec^{2} θ \frac{Δ (λ / μ + 2)}{(λ / μ + 2)} + true(\frac{1}{4} \sec^{2} θ - 2 \frac{β^{2}}{α^{2}} \sin^{2} θ true) \frac{Δ (μ ρ)}{μ ρ} + true(2 \frac{β^{2}}{α^{2}} \sin^{2} θ - \frac{1}{2} \tan^{2} θ true) \frac{Δ ρ}{ρ}

…”

Section: Energy Partitioning Spreadsheetsmentioning

confidence: 99%

Spreadsheets for understanding seismic energy partitioning equations

Bangash

Khan

Akhter

2017

Comp Applic In Engineering

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Spreadsheets have come a long way and have become a universal computational tool and a powerful platform for performing scientific and engineering calculations. Their inherent strength lies in integrated storage and manipulation of data, together with a wide range of calculations, charting, and graphics presentation capabilities. These facilities make them ideal tools for prototyping mathematical equations and algorithms that can be adapted for instructional purposes to improve the quality of engineering education. This paper presents a set of spreadsheets that help in understanding the mathematical details behind the Zoeppritz equations and their various approximations that describe the partitioning of seismic wave energy at a planar interface between two homogeneous isotropic and elastic layers of rock. © 2017 Wiley Periodicals, Inc. Comput Appl Eng Educ 25:441–448, 2017; View this article online at http://www.wileyonlinelibrary.com/journal/cae; DOI

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“…Khalid et al [7] proposed a modified rock physics model to map the seismic properties (seismic velocities and density) of a reser- voir interval at in-situ temperature and pressure conditions with proper account of heat and mass transfer effect between the different fluid phases (such as liquid and gas). To differentiate various pore fluids (oil, gas and brine), a large set of rock physics attributes has been generated by using fluid substitution modeling [5,14,[16][17][18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

An Integrated Seismic Interpretation and Rock Physics Attribute Analysis for Pore Fluid Discrimination

et al. 2015

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Accurate prediction of subsurface structures, lithologies and pore fluids, is of great interest for petroleum prospecting and reservoir characterization. Seismic reflection data are widely used to mark subsurface structures and lithologies. However, only seismic data are not sufficient to mark fluid heterogeneities present into the pores. Therefore, the use of integrated approach is vital to map subsurface heterogeneities with more accuracy. Based on seismic interpretation, the limestone of Chorgali Formation present in Ratana area of Northern Potwar, Pakistan is interpreted as reservoir rock. Structural interpretation revealed that the study area lies in compressional regime and structures formed are thrust and popups. The reservoir properties such as lithology, porosity, permeability, depositional environments, shale volume, fluid saturation, net pay thickness are determined from petrophysical analysis which confirms that reservoir characteristics of Chorgali limestone are enough to permit hydrocarbon production. Fluid substitution modeling is used to estimate different rock physics attributes such as compressibility, Lame's parameters and their product with density, P to S-wave velocity ratio, impedances and Poisson's ratio are computed as a function of pore fluid type (oil, gas, brine etc.). Sensitivity analysis is performed to derive fluid indicator coefficient which indicates the most appropriate and sensitive rock physics attribute that can be crossplotted to discriminate the rock saturated with different pore fluids (gas/brine/oil).

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Elastic parameter AVO approximations and their applications

Cited by 3 publications

References 9 publications

Reflectivity Cross Plot of Modified Zoeppritz Equation

Reflectivity Cross Plot of Modified Zoeppritz Equation

Spreadsheets for understanding seismic energy partitioning equations

An Integrated Seismic Interpretation and Rock Physics Attribute Analysis for Pore Fluid Discrimination

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