Abstract
Coordination number is an important parameter in the prediction of elastic properties of porous rocks using contact models. It has been found that coordination number changes with both porosity and pressure. However, existing relations for coordination number are based either on porosity or on pressure, individually. We have derived a relationship in which coordination number is a function of both porosity and pressure based on a rock physics model which takes pore structure into account and a relation between pore structure and pressure. The proposed relationship between coordination number, porosity, and pressure has been applied in the prediction of velocities for dry, unconsolidated glass beads using Hertz-Mindlin model with a binary scheme, and for a dry, consolidated sandstone using a modified granular media model. The results of both cases show good agreement between the predicted velocities and the measured velocities.
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