Transient flow of fluids in reservoirs with stress sensitive rock and fluid properties

Short Communication

“…), and a dot indicates differentiation with respect to time. An initial condition is supplemented to (13), (2) and (3). In this case theorem 1 still holds, but theorem 2 does not.…”

“…From theorem 2, each contour line intersects either F g or F h . Now, the temperature on F g is given by the boundary condition (2). This implies that the T-values of all the contour lines that intersect Γ g are immediately determined.…”

“…The use of the Kirchhoff transformation as shown above is a 'mathematical trick' that has been employed extensively to derive analytic solutions to non-linear heat flow problems [1][2][3][4][5] . It has also been used frequently in the context of the boundary element method [6][7][8][9][10] .…”

Productivity for Horizontal Wells in Low-Permeability Reservoir with Oil/Water Two-Phase Flow

“…In this paper, we use the exponential permeability model to describe the relationship between permeability and pore pressure [14][15][16][17][18][19][20]. This model is based on a permeability modulus, , which is defined as the following:…”