Strain tensor - John T. Fosterjohnfoster.pge.utexas.edu/PGE334-ResGeomechanics/sl… · ·...
Transcript of Strain tensor - John T. Fosterjohnfoster.pge.utexas.edu/PGE334-ResGeomechanics/sl… · ·...
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Strain tensor
Volumetric strain
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Material constants for isotropic materials
Young's modulus
Bulk modulus
Shear Modulus
Poisson's ratio
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Typical Young's modulus values
© Lama, R. D., and V. S. Vutukuri. . Monograph. 1978.)
HANDBOOK ON MECHANICAL PROPERTIES OF ROCKS-TESTING TECHNIQUES AND RESULTS. VOLUME 2
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Typical Poissons' modulus values
© Lama, R. D., and V. S. Vutukuri. . Monograph. 1978.)
HANDBOOK ON MECHANICAL PROPERTIES OF ROCKS-TESTING TECHNIQUES AND RESULTS. VOLUME 2
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Generalized Hooke's law
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For isotropic materials
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Relationships between constants
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Relationships between constants (contd.)
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Siesmic wave velocity
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Poroelasticity
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Poroelasticity Assumptions1. There is an interconnected pore system uniformly saturated with �uid.2. The total volume of the pore system is small compared to the volume of the rock.3. The pore pressure, the total stress acting on the rock externally, and the stresses acting
on the grains are statistically de�ned.
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E�ective stressTerzaghi de�nition
"Exact" e�ective stress
is called Biot's coe�cient
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Biot's coe�ceint
For sand
For rocks
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Biot's coe�cient (cont.)
© Cambridge University Press (Fig. 3.5c, pp. 69)Zoback, Reservoir Geomechanics