... and observations (e.g. Chalaturnyk7, Li & Chalaturnyk8,9, and Collins10) that changes in volumetric strain cause the permeability and porosity to be changed. It means that calculating volumetric strain is the first goal. Average volumetric strain in a reservoir is defined as in equation (8). = 0V V...

... = 2) where , 0 is the current and initial porosity, v is the volumetric strain. Force Equilibrium Equation The force equilibrium equations presented in this section are consistent with those from Timoshenko and Goodier(7). Tensor convention or summation on repeated indices is implied. Throughout...

... Porosity During the iterative coupling process, the porosity needs to be updated according the following equation: 13) where f0 is the initial porosity; v the volumetric strain increment. Permeability Conventional Permeability Model The permeability is one of the most important properties in determining...

... axial strain tensile fracture volumetric strain oil sand specimen sample disturbance specimen reconstituted specimen disturbance matrix dilation triaxial compression test wong diameter hydraulic fracturing oil sand compression fluid dynamics drilling operation fracture...

... to fluid injection and production in thermal recovery processes. In turn, the changes in deformation affect permeability. The permeability change of reservoir formation subjected to deformation changes is usually assumed as a function of porosity or volumetric strain, which is a scalar variable. Thus...

... of the oil sands cannot be captured using the conventional permeability model as a function of volumetric strain, because the volumetric strain is small. However, the strain-induced permeability model can accurately reflect the directional increase in permeability during water injection. It is shown...