Rapid Numerical Method For Solving Pressure Equation In Numerical Reservoir Simulation

Numerical reservoir simulation is an indispensable part in the oilexploration, and how to solve partial differential equations efficiently is themain problem in today’s reservoir simulation. After more than half a century ofdevelopment, a lot of progress has been made in this respect overseas, withmany mature softwares formed. Due to a late start, we are far behind theinternational level in domestic. In this thesis, we start the numerical reservoirsimulation research with a Shengli Oilfield numerical reservoir simulator,taking pressure equation as the main research object. On the one hand, we havedone a lot of research and improvement in solving large-scale ill-conditionedlinear algebraic equations in the framework of original fully implicitdiscretization, and the software efficiency is greatly improved compared withthe original algorithm. On the other hand, we also try to find a method toessentially speed up the solving of pressure equation, so we start fromdiscretization, and we solve the pressure equation of decoupled model withalternating direction implicit scheme, and implement its parallel algorithm.Numerical experimental results show that the alternating direction implicitscheme has a qualitative increase in speed compared with fully implicitdiscretization. But, to apply the alternating direction implicit scheme well inreservoir simulation, so as to solve practical problems, further studies areneeded.