...Frode Bratvedt; Kyrre Bratvedt; C. F. Buchholz; Lars Holden; Helge Holden; N. H. Risebro Summary This paper presents a new numerical method for solving saturation equations without stability problems and without smearing saturation fronts. A reservoir simulator based on this numerical method...

... on a simulation of a quarter of a five-spot pattern, an edgedrive coning problem, an imbibition problem, and a field-scale problem. Ref. 1 describes the saturation equation in detail. The water-conservation law is (1) ϕ ( x ) ( ∂ S w r / ∂ t ) + ∇   ·   u → w...

...D. S. Hughes; P. Murphy Summary A Monte Carlo solution technique has been implemented within the framework of an implicit-pressure, explicit-saturation (IMPES) simulator for two-phase, or two-component, flow. The saturation equation is interpreted as a probability density function and solved...

... saturation equation simulator upstream oil & gas expression compressibility compositional formulation mole fraction In black-oil reservoir simulation, there are currently three common approaches. The simplest is the IMPES procedure, in which an implicit pressure calculation is made at each...