bulk modulus of rocks

The relationship between dry rock bulk modulus and

fluidsaturated rocks using the dry rock bulk modulus. When tested using Han''s measurements, the pore space stiffness method gave the best fit to the data. We then showed a model incorporating the pore space stiffness method with BiotGassmann fluid changes. We next derived an equation that allowed us to

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Hooke''s Law, Poisson''s Ratio, Bulk Modulus, Young''s

Jan 07, 2013 · Hooke''s Law, Poisson''s Ratio, Bulk Modulus, Young''s Modulus, Shear Modulus, Bulk Modulus vedupro. Loading Unsubscribe from vedupro? Cancel Unsubscribe. Working

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Estimation of drybulk modulus paperfinal

bulk modulus, kfl, thus highlighting the importance of accurate and reliable estimates of dryrock elastic moduli for further seismic amplitude interpretation studies. The method introduced in this paper aims at providing reliable estimates of dryrock elastic moduli insitu based on the simulation of both mud filtrate invasion and sonic waveforms.

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Young''s modulus SubSurfWiki

Young''s Modulus, or lambda E, is an elastic modulus is a measure of the stiffness of a material. It is used extensively in quantitative seismic interpretation, rock physics, and rock mechanics. It is defined as the ratio of uniaxial stress to uniaxial strain when linear elasticity applies.

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Mechanical properties of shalegas reservoir rocks — Part

static modulus was, on average, approximately 20% lower than the unloading/reloading static modulus. Because the unloading/reloading static modulus compares quite well to the dynamic modulus in the rocks studied, comparing static and dynamic moduli can vary considerably depending on which static modulus is used. INTRODUCTION

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Pore Fluid and Elastic Properties of Rock

6 GP170/2001 #2 Partial Saturation Fluid''s Bulk Modulus SOLID WATER GAS F or any numb er N of fluid phases of saturation Si, the effective bulk m odulus is the R euss low bound of their bulk m oduli: 1 K f Si = 1 Ki N ∑. 0 0.2 0.4 0.6 0.8 1 0 1 2 Sw Mixture Bulk Modulus (GPa) Water 2.25 GPa Gas 0.005 GPa

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What is the elastic modulus of Limestone Answers

Fluids, such as water, are nearly incompressible, and exhibit a bulk modulus of about 300,000 psi (2 GPa). That means that if confined itis diffuclt to compress.

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bulk modulus physics Britannica

ELASTIC MODULI and PHYSICAL PROPERTIES of ROCKS Content YOUNG''S MODULUS (E) BULK MODULUS OR INCOMPRESSIBILITY (K) POISSON''S RATIO (V) SHEAR MODULUS (P) ELASTIC MODULI IN FLUIDS NEGATIVE POISSON''S IN AUXETIC FOAMS COMMON ELASTIC MODULI IN ROCKS Ackowledgements: Thanks to William Doll for detecting errors in this document

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rock Definition, Characteristics, & Types Britannica

The term rock refers to the bulk volume of the material, including the grains or crystals as well as the contained void space. The volumetric portion of bulk rock that is not occupied by grains, crystals, or natural cementing material is termed porosity. That is to say, porosity is the ratio of void volume to the bulk volume (grains plus void

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Standard Test Method for Elastic Moduli of Intact Rock

This test method covers the determination of elastic moduli of intact rock core specimens in uniaxial compression. It specifies the apparatus, instrumentation, and procedures for determining the stressaxial strain and the stresslateral strain curves, as well as Young''s modulus, E, and Poisson''s ratio, .

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THE DEFORMATION MODULUS OF ROCK MASSES

THE DEFORMATION MODULUS OF ROCK MASSES comparisons between in situ tests and indirect estimates Arild Palmström, Ph.D., Norway 1 Rajbal Singh, Ph.D., India 2 SUMMARY Three methods of in situ deformation modulus (Em) measurements of rock masses have been described, analysed and

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Estimation of drybulk modulus paperfinal

bulk modulus, kfl, thus highlighting the importance of accurate and reliable estimates of dryrock elastic moduli for further seismic amplitude interpretation studies. The method introduced in this paper aims at providing reliable estimates of dryrock elastic moduli insitu based on the simulation of both mud filtrate invasion and sonic waveforms.

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ELASTIC PROPERTIES AND POROSITY Stanford University

4 0 10 20 30 40 50 60 0 0.2 0.4 0.6 0.8 1 Bulk Modulus (GPa) Porosity SOLID GLASS FrameSupported Disintegrated Honeycomb Structure A critical porosity value exists which is typical for a given class of porous materials. Each class is defined on the basis of common mineralogy and/or diagenetic porosity reduction

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On the Ratios between Elastic Modulus and Uniaxial

It is established that the elastic modulus and M R in very strong carbonate samples are more correlated with ρ−σ c combination and ε a max, respectively, than in weak to strong samples. The relation between M R and maximum axial strain (ε a max) for all studied rock samples (weakto

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Chapter 2: Principles of Drilling and Excavation bu

Rock response to external loading depends not only on the level of applied loads, but also on rock properties. Based on their functionalities, there are three egories of rock properties often used in the analysis of rock behavior: • Elastic properties such as Young''s modulus, shear modulus, bulk modulus, Poisson''s

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Relation between Young Modulus, Bulk Modulus, Modulus of

Mar 04, 2018 · Relation between Young Modulus, Bulk Modulus and Modulus of Rigidity: Where. E = Young Modulus of Elasticity. G = Modulus of Rigidity. K = Bulk Modulus . These are all most useful relations between all elastic constant which are used to solve any engineering problem related to them. If you have any query regarding or if you need any other

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Elastic modulus Wikipedia

The bulk modulus (K) describes volumetric elasticity, or the tendency of an object to deform in all directions when uniformly loaded in all directions it is defined as volumetric stress over volumetric strain, and is the inverse of compressibility. The bulk modulus is an extension of Young''s modulus

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DEFORMABILITY PROPERTIES OF ROCKS AND ROCK MASSES

where K is called the bulk modulus. Note that G and K are related to E and < as follows 2.2 Dynamic Elastic Constants The Young''s modulus, Poisson''s ratio and shear modulus can be determined by dynamic methods. Dynamic elastic properties are obtained by rapid appliion of stress to a rock

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Bulk modulus Wikipedia

The bulk modulus (or ) of a substance is a measure of how resistant to compression that substance is is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume. Other moduli describe the material''s response to other kinds of stress: the shear modulus describes the response to shear, and Young''s modulus describes the response to linear stress.

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WHAT ARE THE VALUES OF MODULUS OF civilblog

Modulus of Elasticity of Rock Modulus of elasticity of rocks depend upon several factors, such as, Type of rock Porosity Grain size Water content Value of modulus of elasticity can be determined by static or dynamic methods. Higher value of modulus of elasticity indies good quality rock having sound composition. Typical values of modulus of []

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rock Definition, Characteristics, & Types Britannica

The term rock refers to the bulk volume of the material, including the grains or crystals as well as the contained void space. The volumetric portion of bulk rock that is not occupied by grains, crystals, or natural cementing material is termed porosity. That is to say, porosity is the ratio of void volume to the bulk volume (grains plus void

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Geomechanical Properties of Unconventional Shale Reservoirs

Geomechanical well logs (including well logs such as total minimum horizontal stress, Poisson''s ratio, and Young, shear, and bulk modulus) are secured source to obtain these substantial shale rock

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Bulk modulus physics Britannica

Bulk modulus, numerical constant that describes the elastic properties of a solid or fluid when it is under pressure on all surfaces. The applied pressure reduces the volume of a material, which returns to its original volume when the pressure is removed. Sometimes referred to as the

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Soil and Rock Bulk Factors Engineering ToolBox

Soil and Rock Bulk Factors Soil and rock expansion or swell after mining . Sponsored Links . Soil or rock from the borrow expands when dropped on the lorry or the landfill or stockpiled. One cubic from the borrow does not translate to one cubic dump. Bulking or swell factors for some materials:

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Bulk Modulus an overview ScienceDirect Topics

K sat1 is the bulk modulus of a porous rock saturated with fluid1 (bulk modulus K f1), K sat2 is the rock bulk modulus saturated with fluid2 (bulk modulus K f2), K m is the mineral bulk modulus, K sk is the dry frame bulk modulus, and ϕ is the porosity. The

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Difference between Young''s Modulus, Bulk Modulus Physics

The basic difference between young''s modulus, bulk modulus, and shear modulus is that Young''s modulus is the ratio of tensile stress to tensile strain, the bulk modulus is the ratio of volumetric stress to volumetric strain and shear modulus is the ratio of shear stress to shear strain.

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Seismic properties of pore fluids New Mexico Tech Earth

Seismic properties of pore fluids Michael Batzle* and Zhijing Wang* ABSTRACT Pore fluids strongly influence the seismic properties of rocks. The densities, bulk moduli, velocities, and viscosities of common pore fluids are usually oversim plified in geophysics. We use a combination of ther modynamic relationships, empirical trends, and new

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Crain''s Petrophysical Handbook Elastic Constants Mech

This page discusses how well logs are used to determine the mechanical properties of rocks. These properties are often called the elastic properties or elastic constants of rocks. The best known elastic constants are the bulk modulus of compressibility, Young''s Modulus (elastic modulus), and

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Chapter 2: Principles of Drilling and Excavation bu

Rock response to external loading depends not only on the level of applied loads, but also on rock properties. Based on their functionalities, there are three egories of rock properties often used in the analysis of rock behavior: • Elastic properties such as Young''s modulus, shear modulus, bulk modulus, Poisson''s

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Stress strain relationships in rocks PetroWiki

Russell and Smith 4 CREWES Research Report — Volume 19 (2007) FIG. 1. A family of dry rock over matrix bulk modulus ratio curves for varying values of k. An alternate approach to changing Kdry as a function of porosity is the critical porosity method (Nur, 1992, Mavko and Mukerji, 1995).

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Bulk Modulus an overview ScienceDirect Topics

K IFM = dry frame bulk modulus. K m = rock matrix grain bulk modulus. K f = fluid bulk modulus. Gassmann''s equation represents perfect coupling between the pore fluid and the solid skeleton of the porous medium (Schön, 1996). This relation is strictly valid only for isotropic, homogeneous rock composed of a single mineral.

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WHAT ARE THE VALUES OF MODULUS OF civilblog

Modulus of Elasticity of Rock Modulus of elasticity of rocks depend upon several factors, such as, Type of rock Porosity Grain size Water content Value of modulus of elasticity can be determined by static or dynamic methods. Higher value of modulus of elasticity indies good quality rock having sound composition. Typical values of modulus of []

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Bulk Modulus an overview ScienceDirect Topics

K IFM = dry frame bulk modulus. K m = rock matrix grain bulk modulus. K f = fluid bulk modulus. Gassmann''s equation represents perfect coupling between the pore fluid and the solid skeleton of the porous medium (Schön, 1996). This relation is strictly valid only for isotropic, homogeneous rock composed of a single mineral.

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ELASTIC PROPERTIES AND POROSITY Stanford University

4 0 10 20 30 40 50 60 0 0.2 0.4 0.6 0.8 1 Bulk Modulus (GPa) Porosity SOLID GLASS FrameSupported Disintegrated Honeycomb Structure A critical porosity value exists which is typical for a given class of porous materials. Each class is defined on the basis of common mineralogy and/or diagenetic porosity reduction

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Rock physics SEG Wiki

The inverse of the bulk modulus is defined as the compressibility, β = The bulk modulus is related to the Lamé parameters by = + When compared to the isotropic form of Hooke''s Law, this expresses that volumetric deformation depends on normal and shear stiffnesses. The bulk modulus quantifies its total volumetric stiffness.

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13 Earth Materials ucl.ac.uk

where E is the Young''s Modulus and υis the Poisson''s ratio. Poisson''s ratio varies between 0.2 and 0.3 for rocks. A principal stress component σ i produces a strain σ I /E in the same direction and strains (υ.σ i / E) in orthogonal directions. Elastic behaviour of an isotropic material can be characterized

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Crain''s Petrophysical Handbook Compressibility Of Rocks

The inverse of a compressibility is a bulk modulus, for example Kc = 1 / Ct is the composite bulk modulus of the porous rock. Descriptive terms and abbreviations used in the literature vary widely, for example Cr is sometimes used to represent the rock matrix compressibility Cm, and the rock matrix is sometimes referred to as the "empty rock

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How to Calculate and Solve for Bulk Modulus of Elasticity

Now, Click on Bulk Modulus of Elasticity (E) under Rock Mechanics The screenshot below displays the page or activity to enter your values, to get the answer for the bulk modulus of elasticity (E) according to the respective parameters which are the young''s modulus (E) and Poisson''s ratio (v).

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Pore pressure prediction from bulk modulus in shale based

Request PDF on ResearchGate On Aug 1, 2019, Ting Lei and others published Pore pressure prediction from bulk modulus in shale based on rock physics modeling

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Rock physics SEG Wiki

The inverse of the bulk modulus is defined as the compressibility, β = The bulk modulus is related to the Lamé parameters by = + When compared to the isotropic form of Hooke''s Law, this expresses that volumetric deformation depends on normal and shear stiffnesses. The bulk modulus quantifies its total volumetric stiffness.

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Bulk Modulus an overview ScienceDirect Topics

K sat1 is the bulk modulus of a porous rock saturated with fluid1 (bulk modulus K f1), K sat2 is the rock bulk modulus saturated with fluid2 (bulk modulus K f2), K m is the mineral bulk modulus, K sk is the dry frame bulk modulus, and ϕ is the porosity. The

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Crain''s Petrophysical Handbook Compressibility Of Rocks

The inverse of a compressibility is a bulk modulus, for example Kc = 1 / Ct is the composite bulk modulus of the porous rock. Descriptive terms and abbreviations used in the literature vary widely, for example Cr is sometimes used to represent the rock matrix compressibility Cm, and the rock matrix is sometimes referred to as the "empty rock

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Comparison of dynamic and static bulk moduli of reservoir

Comparison of dynamic and static bulk moduli of reservoir rocks. Fuyong Yan*1, DeHua Han1, and XueLian Chen2, Jiali Ren1, and Yang Wang1, 1University of Houston, Texas, USA, 2China University of Petroleum, Shandong, China Summary . In traditional ultrasonic measurement on reservoir rocks to

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Elastic modulus Wikipedia

The bulk modulus (K) describes volumetric elasticity, or the tendency of an object to deform in all directions when uniformly loaded in all directions it is defined as volumetric stress over volumetric strain, and is the inverse of compressibility. The bulk modulus is an extension of Young''s modulus

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Crain''s Petrophysical Handbook Compressibility Of Rocks

The inverse of a compressibility is a bulk modulus, for example Kc = 1 / Ct is the composite bulk modulus of the porous rock. Descriptive terms and abbreviations used in the literature vary widely, for example Cr is sometimes used to represent the rock matrix compressibility Cm, and the rock matrix is sometimes referred to as the "empty rock

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rock Definition, Characteristics, & Types Britannica

The term rock refers to the bulk volume of the material, including the grains or crystals as well as the contained void space. The volumetric portion of bulk rock that is not occupied by grains, crystals, or natural cementing material is termed porosity. That is to say, porosity is the ratio of void volume to the bulk volume (grains plus void

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An Introduction to Engineering Properties of Soil and Rock

Stressstrain modulus (modulus of elasticity) and Poisson''s ratio. 2. COMPACTION CHARACTERISTICS OF SOILS. The density at which a soil can be placed as fill or backfill depends on the placement water content and the compaction effort. The Modified Compaction Test (CE 55) or comparable commercial standards will be used as a basis for control.

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Bulk Modulus an overview ScienceDirect Topics

K sat1 is the bulk modulus of a porous rock saturated with fluid1 (bulk modulus K f1), K sat2 is the rock bulk modulus saturated with fluid2 (bulk modulus K f2), K m is the mineral bulk modulus, K sk is the dry frame bulk modulus, and ϕ is the porosity. The

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