000004639 001__ 4639
000004639 005__ 20141119144540.0
000004639 04107 $$aeng
000004639 046__ $$k2002-06-02
000004639 100__ $$aBerryman, James G.
000004639 24500 $$aA DIFFERENTIAL SCHEME FOR ELASTIC PROPERTIES OF ROCKS WITH DRY OR SATURATED CRACKS

000004639 24630 $$n15.$$pProceedings of the 15th ASCE Engineering Mechanics Division Conference
000004639 260__ $$bColumbia University in the City of New York
000004639 506__ $$arestricted
000004639 520__ $$2eng$$aDifferential Effective Medium (DEM) theory is applied to the problem of estimating physical properties of elastic media with penny-shaped cracks, filled with gas or liquid. Cracks are assumed to be randomly oriented. Assuming that the changes in certain factors depending only on Poisson’s ratio do not strongly affect the results, the equations decouple for bulk ( ) and shear ( ) moduli, and they may be integrated analytically. The validity of this assumption is then confirmed by integrating the full DEM equations numerically. These theoretical results for the elastic constants are then compared and contrasted with results predicted by Gassmann’s equations and with results of Mavko and Jizba, for granite-like examples. Gassmann’s equations do not predict the observed liquid dependence of the shear modulus at all. Mavko and Jizba predict the observed dependence of shear modulus on liquid bulk modulus for small crack porosity, but fail to predict the observed behavior at higher porosities. In contrast, the analytical approximations derived here give very satisfactory agreement in all cases for both and .

000004639 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004639 653__ $$aporoelasticity, effective medium theory, cracked solids, liquid saturation

000004639 7112_ $$a15th ASCE Engineering Mechanics Division Conference$$cNew York (US)$$d2002-06-02 / 2002-06-05$$gEM2002
000004639 720__ $$aBerryman, James G.$$iPride, Steven R.$$iWang, Herbert F.
000004639 8560_ $$ffischerc@itam.cas.cz
000004639 8564_ $$s172421$$uhttp://invenio.itam.cas.cz/record/4639/files/098.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004639 962__ $$r4594
000004639 980__ $$aPAPER