A derivation of the equations for transport of liquid and heat in three dimensions in a fractured porous medium

Governing equations can be derived for transient, three-dimensional transport of heat and mass in compressible, liquid saturated fractured porous media. Recently developed mathematical techniques can be used which relate local space averages of derivatives of medium properties to the derivatives of those averages. Using these techniques, well established thermomechanical transport equations which apply at microscopic points may be transformed into equations in macroscopic variables; i.e. in variables which pertain to the scale of observation. In the absence of chemical reactions, transfer between source entities and the medium may be taken care of in a consistent, physically realistic way, such that macroscopic source terms arise naturally in the course of the macroscopization procedures.