Engineering Properties of Soil and Rock GUYER PARTNERS 44240 Clubhouse Drive El Macero CA 95618 530 758 6637 Stress strain modulus modulus of elasticity and Poisson s ratio 2 COMPACTION CHARACTERISTICS OF SOILS Typical permeability values empirical relationships and methods for obtaining the coefficient of permeability are

4 0 10 20 30 40 50 60 0 0 2 0 4 0 6 0 8 1 Bulk Modulus GPa Porosity SOLID GLASS Frame Supported 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

The value of the bulk modulus for steel is about 2 3 × 10 7 psi or 1 6 × 10 11 pascals three times the value for glass Thus only one third the pressure is needed to reduce a glass sphere the same amount as a steel sphere of the same initial size Under equal pressure the proportional decrease in volume of glass is three times that of steel

Among elastic rock properties one may mention Youngâ€™s modulus shear modulus bulk modulus and Poissonâ€™s ratio As the shear modulus and bulk modulus are functions of Youngâ€™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

Young s Modulus or Tensile Modulus alt Modulus of Elasticity and Ultimate Tensile and Yield Strength for steel glass wood and other common materials Sponsored Links Tensile Modulus or Young s Modulus alt Modulus of Elasticity is a measure of stiffness of an elastic material

Chapter 5 Engineering Properties of Soil and Rock 5 1 Overview The purpose of this chapter is to identify either by reference or explicitly herein appropriate methods of soil and rock property assessment and how to use that soil and rock property data to establish the final soil and rock parameters to be used for geotechnical design

10 11 4 2 Bulk modulus Bulk modulus is the measure of the decrease in volume with an increase in pressure The modulus of elasticity of a liquid varies widely depending on the specific gravity and temperature of the liquid Typical values are less than 30 000 psi

Stress strain relationships in rocks PetroWiki Jump to navigation search This page provides an introduction to stress strain relationships They form the foundation for several rock properties such as elastic moduli incompressibility effective media theory elastic wave velocity and rock strength Bulk modulus The bulk modulus of

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

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 indicates good quality rock having sound composition Typical values of modulus of

In contrast the bulk modulus of water is 2340 MPa four orders of magnitude less compressible or deformable than air Table 2 but 10× times smaller than the Young s modulus of rock 20000

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 Strain is non dimensional and so the units of E are those of stress BULK MODULUS OR INCOMPRESSIBILITY k Pa Acoustic Wave Equation

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

Emmanuel Detournay and Alexander H D Cheng 1Preprint Article published as Detournay E and Cheng A H D Fundamentals of poroelasticity the typical dimension of the pores or rock grains yet small enough to allow the introduction the drained bulk modulus K the undrained bulk modulus K u andtheBiotcoeﬃcient α

names in various publications such as modulus of subgrade reaction subgrade reaction subgrade modulus coefficient of subgrade reaction Winkler foundation E Winkler first proposed the subgrade reaction in 1867 Ref 16 Winkler subgrade K value etc In

The best known elastic constants are the bulk modulus of compressibility Young s Modulus elastic modulus and Poisson s Ratio The dynamic elastic constants can be derived with appropriate equations using sonic log compressional and shear travel time along with density log data

Rock in geology naturally occurring and coherent aggregate of one or more minerals Such aggregates constitute the basic unit of which the solid Earth is composed and typically form recognizable and mappable volumes The three major classes of rock are igneous sedimentary and metamorphic rock

although the prediction of the static value of Young s modulus from the dynamic value is dependent on a knowledge of the borehole lithology the use of the dynamic elastic moduli can yield considerable useful engineering information in the assessment of the deformation properties of the rock mass

· For rock with Frequency and fluid effects on elastic properties of basalt Frequency and fluid effects on elastic properties of basalt Experimental investigations elastic properties bulk modulus

· Reservoir Geomechanics free course Elastic Properties Material constants for isotropic materials Young s modulus Bulk modulus shear modulus Poisson s ratio Typical Yung s modulus values

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

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

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

t50 value of a rock vs the unconfined compressive strength gives a visual comparison of the strength and modulus values of different rocks M R E t50 σ a unconfined compressive strength Modulus Ratio – and Miller Classification 50 Strain s Slope of the line tangent at 50 of the unconﬁned compressive strength E t50 34

RESEARCH NOTE Differences between static and dynamic elastic moduli of a typical seismogenic rock providing a Young s modulus of 75 ±7 GPa and a Poisson s ratio of 0 28 ±0 02 cause it is the typical rock of the seismic focal regions in the Italian Apennines Almagro 2002 where the vast majority of Italian seis

Shear modulus and bulk modulus Typical E Rubber 7 MPa Normally consolidated clays 0 2 4 GPa Boulder clay oversolidated 10 20 GPa Concrete 20 GPa aVery little variation between wide range of rock types with some notable exceptions – esp clay minerals which can have

The Poisson s ratio of a stable isotropic linear elastic material must be between −1 0 and 0 5 because of the requirement for Young s modulus the shear modulus and bulk modulus to have positive values Most materials have Poisson s ratio values ranging between 0 0 and 0 5

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