Departing from the classical Buckley-Leverett theory for two-phase immiscible flows in porous media, a reduced evolution equation for the water-oil displacement front is formulated and studied numerically. The reduced model successfully reproduces the basic features of the finger-forming dynamics observed in recent direct numerical simulations. PACS numbers: 47.20.Gv, 47.20.Ky, 47.20.Ma

Petroleum reservoir modelling requires effective multiscale methods for the numerical simulation of two-phase flow in porous media. This paper proposes the application of a novel meshfree particle method to the Buckley-Leverett model. The utilized meshfree advection scheme, called AMMoC, is essentially a method of characteristics, which combines an adaptive semi-Lagrangian method with local mes...

We present a stochastic analysis of immiscible two-phase flow ~Buckley–Leverett displacement! in heterogeneous reservoirs. Since the detailed spatial variabilities of reservoir properties such as permeability and porosity cannot be described deterministically, both permeability and porosity, or either, are treated as random space functions. In turn, water saturation and oil production rate are ...

Subglacial environments are known to harbour metabolically diverse microbial communities. These microbial communities drive chemical weathering of underlying bedrock and influence the geochemistry of glacial meltwater. Despite its importance in weathering reactions, the microbial cycling of iron in subglacial environments, in particular the role of microbial iron reduction, is poorly understood...

Abstract. The focus of the present study is the modified Buckley-Leverett (MBL) equation 1 describing two-phase flow in porous media. The MBL equation differs from the classical Buckley2 Leverett (BL) equation by including a balanced diffusive-dispersive combination. The dispersive term 3 is a third order mixed derivatives term, which models the dynamic effects in the pressure difference 4 betw...