Abstract
In this paper, vibration theory of elastic body is applied as an analogy to the quantitative analysis of resistance factor of polymer solution measured when it flows through porous media.
Resistance against flow of polymer solution through porous media is not caused only by viscosity of polymer solution, but also affected by the energy dissipation by experiencing rarefaction and compression of polymer solution while flowing alternately in the throat connecting pores and in the open pore spaces. Euler Equation is modified to express such elastic resistance of polymer solution caused by the oscillation of normal stress in the fluid. Flow equation comprised of both Euler Equation and Darcy Equation is introduced to calculate both elastic and viscous resistances against flow through porous media. New equation is applied successfully to demonstrate the dilatant flow behavior of polymer solution in the flooding experiences through a capillary tube packed by glass beads and through Berea sand cores.
Diffusion equation modified to express the vibration effect of viscoelastic fluid is applied to solve the pressure loss of polymer solution flowing through porous media. Quantitative analysis of the resistance factor of flow of polymer solution through porous media is presented by the use of analytical solution of diffusion equation.
