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Flood front is the jump interface where fluids distribute discontinuously,whose interface condition is the theoretical basis of a mathematical model ofthe multiphase flow in porous medium. The conventional interface condition atthe jump interface is expressed as the continuous Darcy velocity and fluidpressure (named CVCM ). Our study has inspected this conclusions. First, it isrevealed that the principle of mass conservation has no direct relation to thevelocity conservation, and the former is not the true foundation of the later,because the former only reflects the kinetic characteristic of the fluidparticles at one position(the interface), but not the neighborhood of theinterface which required by the later. Then the reasonableness of CVCM isqueried from the following three aspects:(1)Using Mukat's two phase seepageequation and the mathematical method of apagoge, we have disproved thecontinuity of each fluid velocity;(2)Since the analytical solution of theequation of Buckley-Leveret equations is acquirable, its velocity jumps at theflood front presents an appropriate example to disprove the CVCM;(3) Thenumerical simulation model gives impractical result that flood front would stopmoving if CVCM were used to calculate the velocities at the interface betweentwo gridcells. Subsequently, a new one, termed as Jump Velocity Condition Model(JVCM), is deduced from Muskat's two phase seepage equations and Darcy's lawwithout taking account of the capillary force and compressibility of rocks andfluids. Finally, several cases are presented. And the comparisons of thevelocity, pressure difference and the front position, which are given by JVCM,CVCM and SPU, have shown that the result of JVCM is the closest to the exactsolution.

Interface Condition for the Darcy Velocity at the Water-oil Flood Front in the Porous Medium