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typical bulk modulus values of rock

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typical bulk modulus values of rock

The relationship between dry rock bulk modulus and ...

A family of dry rock over matrix bulk modulus ratio curves for varying values of k. An alternate approach to changing K dry as a function of porosity is the …

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ELASTIC MODULI and PHYSICAL PROPERTIES of ROCKS

L 0 L A F E ∆ ∆ = This modulus reflects the stiffness of earth materials. E is the ratio of stress to strain.If our aim is to lengthen or shorten a rock without actually breaking it, the greater the value of E, the larger the stress that is needed to achieve the deformation.

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The Methodology for the Young Modulus Derivation for Rocks ...

Among elastic rock properties one may mention: Young’s modulus, shear modulus, bulk modulus and Poisson’s ratio. As the shear modulus and bulk modulus are functions of Young’s modulus and Poisson ratio the last two parameters are the most * Corresponding author. Tel.: +48 604 055 842; fax: +48 12 617 20 59.

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Elastic Modulus – Pavement Interactive

The initial straight-line portion of the curve is the elastic range for the steel. If the material is loaded to any value of stress in this part of the curve, it will return to its original shape. Thus, the modulus of elasticity is the slope of this part of the curve and is equal to about 207,000 MPa (30,000,000 psi) for steel.

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Bulk Modulus - an overview | ScienceDirect Topics

K sat1 is the bulk modulus of a porous rock saturated with fluid-1 (bulk modulus K f1), K sat2 is the rock bulk modulus saturated with fluid-2 (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 relation provides the necessary recipe for fluid substitution. When the velocities in the porous medium saturated with a known fluid ...

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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.It 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 stress, and Young's modulus describes the response to ...

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Reservoir Fluids Identification Using Vp/Vs Ratio?

where k is the bulk modulus of rock. Values of Poisson ratio σvary from 0.0 to 1.0 Either expression tells us that the compressional velocity will always be greater than the shear velocity in a given medium. If σis 0.25, the Vp/Vs ratio equals to √3. It is worth noting that for most consolidated rock materials, Vp/Vs is

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Lamé parameters - Wikipedia

In continuum mechanics, Lamé parameters (also called the Lamé coefficients, Lamé constants or Lamé moduli) are two material-dependent quantities denoted by λ and μ that arise in strain-stress relationships. In general, λ and μ are individually referred to as Lamé's first parameter and Lamé's second parameter, respectively.Other names are sometimes employed for one or both parameters ...

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Fluid and rock bulk viscosity and modulus

Figure 5. Measured bulk modulus as a function of oscillation frequency for the heavy-oil-saturated Uvalde and OB8 rock samples. Figure 6. Comparison of pressure-cycling technique with other measurements of bulk modulus for the Uvalde heavy-oil-saturated rock. The magnitude of the cycling technique is correct, but the trend with frequency disagrees.

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Subgrade reaction modulus required for design of mat and ...

For the sake of completeness, the typical subgrade reaction modulus are listed below in Tables 1 and 2. Note that these values are valid for a 12″ plate resting on uniform soils. If there is no potential for creep and long-term consolidation, the following equations can be used in order to account for different foundation sizes (Terzaghi, 1955):

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Basic mechanics of soils - UWE

Typical values of E; Young's modulus and Poisson's ratio are measured directly in uniaxial compression or extension tests, i.e. tests with constant (or zero) stress on the vertical surfaces. i.e. ds' r = 0. Young's modulus

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Young's Modulus for chosen rocks. | Download Table

Although shear modulus, bulk modulus are used to determine the elastic behaviour of rocks [5][6][7], this paper deals with Young's modulus, which, along with Poisson's ratio, is the most important ...

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Rock mass properties - Rocscience Inc.

deformation modulus of rock masses was made by Hoek and Diederichs (2006). ... is the value of the Hoek-Brown constant m for the rock mass, s and a are constants which depend upon the rock mass characteristics, and V ci is the uniaxial compressive strength of the intact rock pieces.

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Rock Physics

Rock Salt Elastic Modulus / Mineral Modulus Clean Sandstone Porosity/Critical Porosity 0 20 40 60 80 0 0.2 0.4 0.6 0.8 1 Compressional Modulus (GPa) Porosity Cracked Igneous Rocks with Percolating Cracks Pumice with Honeycomb Structure KDry = KSolid (1 −φ/ φc) GDry = GSolid (1 −φ/ φc) Total Porosity Dry-Rock Bulk Modulus Dry-Rock Shear ...

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Seismic velocity and rock properties

to certain rock units in a given locale by actual laboratory measurements on core samples of the rock or soil. It is observed from seismic surveys that velocities generally increase with depth. Densities also increase with depth so it must be that the bulk and shear modulii increase faster than the density. In seismic exploration

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Uniaxial compressive strength ( c) and deformation modulus ...

) and deformation modulus of rocks Average values from tests of intact rock samples Tests of rocks world-wide Scandinavian rocks tested at SINTEF c E E c of tests Number c E c Number ROCK MPa GPa MPa GPa of tests ure Dolomite 86 38 443 8 110 49 443 2 Limestone 107 47 441 81 74 71 961 25

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What Is Bulk Modulus? Definition, Formulas, Examples

Table of Fluid Bulk Modulus (K) Values There are bulk modulus values for solids (e.g., 160 GPa for steel; 443 GPa for diamond; 50 MPa for solid helium) and gases (e.g., 101 kPa for air at constant temperature), but the most common tables list values for liquids.

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ROCK COMPRESSIBILITY BASICS - spec2000

Typical values for Ct are 3 to 25 * 10^-6 psi-1. Ct varies inversely with porosity and pressure, and numerous authors have published correlations applicable to specific rock types. The inverse of a compressibility is a bulk modulus, for example Kc = 1 / Ct is the composite bulk modulus of the porous rock.

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rock - Mechanical properties | Britannica

rock - rock - Mechanical properties: When a stress σ (force per unit area) is applied to a material such as rock, the material experiences a change in dimension, volume, or shape. This change, or deformation, is called strain (ε). Stresses can be axial—e.g., directional tension or simple compression—or shear (tangential), or all-sided (e.g., hydrostatic compression).

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Porosity and Bulk Density of Sedimentary Rocks

bulk volume may at times be less than true values of bulk volume is shown by the fact that the computed apparent porosity occasionally exceeds the computed total porosity where bulk volume is obtained by mercury displacement, and where there is no evidence that adsorp­ tive effects have resulted in erroneously large determinations of pore volume.

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Aquifer Storativity (T) - DunnHydroGeo

Table 1. Range in Values for Bulk Modulus of Compression (E) and Specific Storage . S s =γ w α [After Domenico and Mifflin (67)]. I have expanded the calculations of Table 1 to utilize a formula for S s that includes the compressibility of water. This formula is S s =γ w (α +nβ), where n is porosity (dimensionless) and β is the compressibility of water (M-1 LT 2).

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Typical Properties for Various Rocks

The above values have been provided with both imperial and metric units. As with all calculations care must be taken to keep consistent units throughout. Additional information has been provided below. Notation. ρ = bulk density (the ratio of the total mass to the total volume), ib/ft 3 or kg/m 3; E = elastic modulus, ksi or MPa

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Bulk Modulus and Fluid Elasticity - Engineering ToolBox

1 GPa = 10 9 Pa (N/m 2); Stainless steel with Bulk Modulus 163 10 9 Pa is aprox. 80 times harder to compress than water with Bulk Modulus 2.15 10 9 Pa.. Example - Density of Seawater in the Mariana Trench - the deepest known point in the Earth's oceans - 10994 m.. The hydrostatic pressure in the Mariana Trench can be calculated as. p 1 = (1022 kg/m 3) (9.81 m/s 2) (10994 m)

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Vp/Vs in Reservoir Characterization - Telesto Energy

Where k is bulk modulus, µ shear modulus and ρ density of a rock. Although the actual rocks are not isotropic and homogeneous, elastic equivalency exists between the two to a great extent in Layered media when the velocities are approximated as Interval, Average and RMS. Velocity ratio (Vp/Vs) and Acoustic Impedance (AI) can be expressed as

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Rock mechanical properties - PetroWiki

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 application of stress to a rock …

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Hydraulic Properties :. Aquifer Testing 101

Todd (1980) reports values of K z / K r ranging between 0.1 and 0.5 for alluvium and possibly as low as 0.01 when clay layers are present. Representative Values. The following table shows representative values of horizontal and vertical hydraulic conductivities for selected rock types (from Domenico and Schwartz 1990):

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THE DEFORMATION MODULUS OF ROCK MASSES - …

The effect of Poisson's ratio is one of the parameters used for the calculation of modulus value in an in situ test. Sharma and Singh (1989) found that it is not much variation in the values of the deformation modulus if the value of the Poisson's ratio is between 0.1 and 0.35.

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Relations between static and dynamic moduli of sedimentary ...

The static bulk modulus (K stat) and Young's modulus (E ... The arrow indicate the strain rate of a typical rock mechanical labo-ratory test. rate and frequency for such waves, as illustrated in Fig. 1. By comparison, the strain rate induced during a typical rock

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Towards more realistic values of elastic moduli for ...

In the absence of information, we estimate upscaled values of Young's modulus, Poisson's ratio, shear modulus, and bulk modulus for volcanic rock with an average porosity and an average fracture density/quality to be 5.4 GPa, 0.3, 2.1 GPa, and 4.5 GPa, respectively.

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Soil elastic Young's modulus - Geotechdata.info

In general, the soil stiffness and elastic modulus depends on the consistensy and packing (density) of the soil. Typical values of soil Young's modulus are given below as guideline. Typical values of Young's modulus for granular material (MPa) (based on Obrzud & Truty 2012 complied from Kezdi 1974 and Prat et al. 1995)

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