# ## typical bulk modulus values of rock How can i calculate bulk and shear modulus for any kind of soil by plate load test then you can use these value to find bulk and shear modulus Some software has inbuilt capability to The composite rock fluid compressional bulk modulus is 4 Kc Kp Kb 4 3 N Compressional and shear velocity or travel time depend on density and on the elastic properties so we need a density value that reflects the actual composition of the rock fluid mixture where kdry is the dry frame bulk modulus kmatrix is the matrix grain bulk modulus kfl is the bulk modulus of the pore fluid and φis porosity Because fluids do not support shearing stress we have μsat dry μ 3 The density of the saturated rock is obtained by applying mass conservation principles on the elemental constituents of Figure 5 13 Schematic of stabilometer test setup for measuring R value Yoder and Witczak 1975 5 4 3 Elastic Resilient Modulus Pavement thickness design prior to the 1986 AASHTO Design Guide was based on experience soil classification and the plastic response of pavement materials to static load e g Marshall stability for asphalt concrete and CBR for unbound materials · In liquids the amount of dissolved gas greatly impacts the value A high value of K indicates a material resists compression while a low value indicates volume appreciably decreases under uniform pressure The reciprocal of the bulk modulus is compressibility so a substance with a low bulk modulus has high compressibility 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 Bulk modulus The bulk modulus K displaystyle K or B displaystyle B 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 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 Regression analyses were applied to define relations among these parameters and the range of values of modulus ratio MR is estimated for each rock type Discover the world s research 17 million 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 to greater than 300 000 psi depending upon the liquid Pipe containing liquid has an ability to Young s modulus E is defined as the ratio of the stress applied to the material along the longitudinal axis of the specimen tested and the deformation or strain measured on that same axis Young s Modulus is also known as tensile modulus elastic modulus or modulus of elasticity · 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 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 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 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 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 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 Nov 05 2017 · Gases have a high compressibility factor and a low bulk modulus value for example This video contains 1 practice problem on bulk modulus and fluid mechanics with all 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 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 The values in Table 2 are the effective bulk modulus for several air oil mixtures These were determined by test as described below Using these test results a convenient empirical equation was developed to predict without tests the effective bulk modulii of other air oil mixtures Bulk modulus is a property that indicates the compressibility of a fluid With many of today s hydraulic systems operating at pressures 5000 psi and higher ignoring bulk modulus can compromise response time of a system Applied pressure should directly affect the action of 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 Bulk modulus The bulk modulus of a material is then defined as the ratio of applied pressure to volumetric strain 9 Bulk modulus is equivalent to the inverse of compressibility β Shear modulus In a similar way shear modulus μ often G in many publications can be defined as the ratio of shear stress to shear strain ROCK PHYSICS BASICS Need for Static Moduli 2c 2b S Hmin P b 2c 1 − ν2 E P − SH min Importance of Static Young s Modulus and Poisson s Ratio for Hydrofracture Design Static moduli are often used in wellbore stability and in situ stress applications to evaluate the possibility of breakouts elevated pore pressure and tectonic stress Meanwhile the shear modulus G and bulk modulus K are related to Young s modulus and Poisson s ratio through 2 1 ν E G 2 4 3 1−2ν E K 2 5 Their values for some typical rocks are listed in Table 1 TABLE 1 Laboratory Mechanical Properties of Rocks Lama and Vutukuri 1978 Rock Location Description ρ g cm3 E GPa G Variations in rock mass elastic modulus are qualitatively similar values vary from 1 to 2 GPa up to the elastic modulus of the intact rock 40 GPa Our study highlights that macrofractures and joints reduce rock mass strength and should be considered when assessing the rock mass for well stability and rock mass deformation due to stress 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 Seismic rock physics ADVERTISEMENT From SEG Wiki In Figure 3c I have changed the bulk and shear modulus values to get a better fit against the data In the absence of other information this is perfectly reasonable and valuable knowledge to add to the exploration puzzle 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 POROSITY AND BULK DENSITY OF SEDIMENTARY ROCKS By G EDWARD MANGER ABSTRACT More than 900 items of porosity and bulk density data for sedimentary rocks have been tabulated Most of the data are from the more accessible American British German and Swiss literature The number of porosity determinations per item ranges from 1 to 2 109 The bulk modulus of pure hydraulic oil and its dependency on pressure and temperature has been studied extensively over the past years A comprehensive review of some of the more Table 2 1 Bulk modulus values for typical hydraulic oil no entrained air at 20°C and 50 MPa Figure 5 13 Schematic of stabilometer test setup for measuring R value Yoder and Witczak 1975 5 4 3 Elastic Resilient Modulus Pavement thickness design prior to the 1986 AASHTO Design Guide was based on experience soil classification and the plastic response of pavement materials to static load e g Marshall stability for asphalt concrete and CBR for unbound materials 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 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 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 The values of E BS from the base layers in the original AASHO Road Test are summarized in Table 5 40 Note that the E BS values are not only functions of moisture but also of stress state θ which in turn is a function of the pavement structure i e subgrade modulus and thickness of the surface layer Typical values of θ recommended in the 1993 AASHTO Guide for use in base design are 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 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