Modeling compressional wave velocity and attenuation in carbonate sediments

Hurley, Michael; Manghnani, Murli H.

doi:10.1121/1.400708

Cited by 4 publications

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“…The thermodynamic model is based on the additivity laws of compressibility, 1 of the reciprocal of sound velocity 2,3 and the conservation law of internal energy, 4 respectively. On the other hand, the best-known example of an elastic model is the so-called Biot model, [5][6][7][8][9] which is explained with the elasticity of skeltal framework and pore fluid.…”

Section: Introductionmentioning

confidence: 99%

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Use of a power law relation to describe field measurements of compressional and shear velocity in a sediment

Endo

1997

The Journal of the Acoustical Society of America

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A sediment is assumed as a percolation network described by a “Swiss cheese” continuum model. A scaling law for a sediment is applicable to describe field measurements of compressional and shear velocity with porosity. The experimental data obtained by Deep Sea Drilling Project of three sites 288, 289, and 316 on the Ontong–Java Plateau in the western Pacific Ocean is available for calculations. The approximate expression of the variation of sound velocity with porosity (p) obtains when satisfied with the conditions of pc>p, where pc is the critical porosity. This expression is analogous to that of the frame bulk modulus obtained by Hamilton.

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Section: Introductionmentioning

confidence: 99%

“…4. The plot of log v p vs log for DSDP sites 288 and 289 fromTables I and IIof Hurley and Manghnani 7. The units of v p and are km/s and g/cm 3 , respectively.…”

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Use of a power law relation to describe field measurements of compressional and shear velocity in a sediment

Endo

1997

The Journal of the Acoustical Society of America

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“…Yamamoto [1990, 1991] and Yamamoto et al [1994Yamamoto et al [ , 1995 carried out several cross well tomography analyses to calculate porosity and permeability distributions from observed P wave velocity and attenuation images based on the Biot-Stoll theory and an extended Biot-squirt flow model [Dvorkin and Nur, 1993;Dvorkin et al, 1994]. Hurley and Manghnani [1991] tried to model P wave velocities and attenuation in deep sea carbonates [Kim et al, 1985]. They succeeded only in predicting P wave velocities by the Biot-Stoll theory, whereas computed attenuation values were far too low.…”

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Acoustic and elastic characterization of marine sediments by analysis, modeling, and inversion of ultrasonic P wave transmission seismograms

Breitzke¹

2000

J. Geophys. Res.

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Abstract. Ultrasonic P wave transmission seismograms recorded on sediment cores have been analyzed to study the acoustic and estimate the elastic properties of marine sediments from different provinces dominated by terrigenous, calcareous, and diatomaceous sedimentation. Instantaneous frequencies computed from the transmission seismograms are displayed as gray-shaded images to give an acoustic overview of the lithology of each core. Centimeter-scale variations in the ultrasonic waveforms associated with lithological changes are illustrated by wiggle traces in detail. Cross-correlation, multiple-filter, and spectral ratio techniques are applied to derive P wave velocities and attenuation coefficients. S wave velocities and attenuation coefficients, elastic moduli, and permeabilities are calculated by an inversion scheme based on the Biot-Stoll viscoelastic model. Together with porosity measurements, P and S wave scatter diagrams are constructed to characterize different sediment types by their velocity-and attenuation-porosity relationships. They demonstrate that terrigenous, calcareous, and diatomaceous sediments cover different velocity-and attenuation-porosity ranges. In terrigenous sediments, P wave velocities and attenuation coefficients decrease rapidly with increasing porosity, whereas S wave velocities and shear moduli are very low. Calcareous sediments behave similarly at relatively higher porosities. Foraminifera skeletons in compositions of terrigenous mud and calcareous ooze cause a stiffening of the frame accompanied by higher shear moduli, P wave velocities, and attenuation coefficients.In diatomaceous ooze the contribution of the shear modulus becomes increasingly important and is controlled by the opal content, whereas attenuation is very low. This leads to the opportunity to predict the opal content from nondestructive P wave velocity measurements at centimeter-scale resolution. IntroductionA knowledge of the elastic properties of marine sediments is mandatory to understand the response of different depositional regimes to seismic wave propagation, to solve certain geotechnical problems, and to classify different sediment types. Problems associated with reflection and transmission of seismic waves at interfaces, reflection amplitude anomalies in regions of unusual pore pressure, correlation of core or downhole logs to seismic profiles, or conversion of two-way travel times to subbottom depths need elastic properties for their solution. Additionally, questions concerning seabed stability arise from geotechnical applications. Not least, predictions of porosities from P wave velocities are valuable in hydrocarbon exploration.Generally, elastic properties encompass P and S wave velocities and attenuation in the wet sediment as well as elastic moduli of both the wet sediment and the sediment frame.Whereas P wave velocity is a standard parameter in physical property core studies measured either in laboratories on chunk samples [e.g., Boyce, 1973Boyce, , 1976 is attenuation coefficient, k is attenuation...

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Full waveform ultrasonic transmission seismograms: A fast new method for the determination of physical and sedimentological parameters of marine sediment cores

Breitzke¹,

Grobe²,

Kühn³

et al. 1996

J. Geophys. Res.

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Detailed information about the sediment properties and microstructure can be provided through the analysis of digital ultrasonic ? wave seismograms recorded automatically during full waveform core logging. The physical parameter which predominantly affects the elastic wave propagation in water-saturated sediments is the ? wave attenuation coefficient. The related sedimentological parameter is the grain size distribution. A set of high-resolution ultrasonic transmission seismograms (-50-500 kHz), which indicate downcore variations in the grain size by their signal shape and frequency content, are presented. Layers of coarse-grained foraminiferal ooze can be identified by highly attenuated ? waves, whereas almost unattenuated waves are recorded in fine-grained areas of nannofossil ooze. Color-encoded pixel graphics of the seismograms and instantaneous frequencies present full waveform images of the lithology and attenuation. A modified spectral difference method is introduced to determine the attenuation coefficient and its power law ac = kf". Applied to synthetic seismograms derived using a "constam Q" model, even low attenuation coefficients can be quantified. A downcore analysis gives an attenuation log which ranges from-700 dB/m at 400 kHz and a power of n _--1-2 in coarse-grained sands to few decibels per meter and n < 0.5 in fine-grained clays. A least squares fit of a second degree polynomial describes the mutual relationship between the mean grain size and the attenuation coefficient. When it is used to predict the mean grain size, an almost perfect coincidence with the values derived from sedimentological measurements is achieved.the reflection coefficient, the bottom loss, or the elastic moduli [Hamilton, 1970a[Hamilton, , b, 1971a[Hamilton, , b, 1974bBachman, 1985Bachman, , 1989. They show that the sand content or the mean grain size is the best index to predict the P wave Copyright 1996 by the American Geophysical Union. Paper number 96JB01891. 0148-0227/96/96 JB-01891 $09.00 velocity and the wet bulk density of terrigenous or non biogenic pelagic sediments. For calcareous ooze the correlation with the wet bulk density fails due to larger amounts of intraporosity introduced by hollow foraminifera but still holds for the P wave velocity [Hamilton et al., 1982]. Hence P wave velocity measurements are often used as an indicator of varying grain sizes due to enhanced and reduced carbonate dissolution during interglacial and glacial stades [Johnson et al.While these acoustic, bulk, and sedimentological properties are determined with standard methods [Boyce, 1973, 1976], attenuation measurements on unconsolidated sediments are rare and show a large degree of scatter. Reported attenuation studies include laboratory investigations on artificial water-saturated sediments, suspensions and mixtures of sand, kaolinite and glass beads at high frequencies [Nolle et al., 1963; Hampton, 1967; Hovern and Ingram, 1979; Hovern, 1980], and in situ and laboratory studies on natural sediments at lower frequencies (<100 kHz...

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Modeling compressional wave velocity and attenuation in carbonate sediments

Cited by 4 publications

References 0 publications

Use of a power law relation to describe field measurements of compressional and shear velocity in a sediment

Use of a power law relation to describe field measurements of compressional and shear velocity in a sediment

Acoustic and elastic characterization of marine sediments by analysis, modeling, and inversion of ultrasonic P wave transmission seismograms

Full waveform ultrasonic transmission seismograms: A fast new method for the determination of physical and sedimentological parameters of marine sediment cores

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