in oil industry, spontaneous imbibition is an important phenomenon in recovery from fractured reservoirs which can be defined as spontaneous uptake of a wetting fluid into a porous solid. spontaneous imbibition involves both cocurrent and countercurrent flows. when a matrix block is partially covered by water, oil recovery is dominated by cocurrent imbibition i.e. the production of non wetting ...

an analytical solution is presented for displacements and stresses of a three dimensional linear hyperelastic transversely isotropic layer bonded on the top of a transversely isotropic half-space subjected to an arbitrary, time-harmonic surface tangential force. the equations of equilibrium in terms of displacements are uncoupled by using a set of two potential functions introduced by eskandari...

In this study, the performance of Taylor’s decomposition method in nine-dimensional Lorenz system is investigated. The proposed applied to for both chaotic and hyperchaotic cases. Phase portraits time series graphs problem are drawn. results obtained compared with fourth order Runge-Kutta multi-domain compact finite difference relaxation method. Comparisons show that consistent other methods. T...

In the numerical solution of stochastic diierential equations (SDEs) such appearances as sudden, large uctuations (explosions), negative paths or unbounded solutions are sometimes observed in contrast to the qualitative behaviour of the exact solution. To overcome this dilemma we construct regular (bounded) numerical solutions through implicit techniques without discretizing the state space. Fo...