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analysis approximation aquifer assumed attapulgite behavior boundary conditions calculated capillary capillary pressure cent complete oil compressibility computed constant core critical critical pressure crossflow curve density depletion derived determined diameter dimensionless effect experimental experiments flow rate fluid flux formation fracture function gas-oil gravity heat homogeneous horizontal imbibition impact initial injected interface interfacial tension Jour layer length linear liquid matrix block method miscible miscible displacement mixtures montmorillonite obtained oil recovery Original manuscript received overburden pressure paper parameter performance Petroleum Engineers phase plane plotted Poiseuille flow pore volume porosity porous medium predicted pressure problem production properties radial radius ratio relative permeability reservoir rheological rock sample sandstone saturation distribution segregation shear shearing stress shown in Fig slug Society of Petroleum solution solvent stress temperature thermal tion Trans transient values velocity vertical viscosity wellbore zero zone