Complex Mathematical Modeling of the Well Drilling Process

Recently, the technologies for global modeling of process oil well drilling have become widespread. Mathematical is used in design, virtual testing various equipment, simulations emergency situations, and personnel training. Complex includes simulation such phenomena as dynamics drill string its contact interaction with walls, flow fluid soil (considering influxes leakages), crushing by drill, transfer cuttings particles fluid, heat exchange soil, others. This paper provides a detailed review existing approaches to solving problems. Most studies included focus on building mathematical model one or several above processes. Moreover, all these processes mutually influence each other, which also needs be considered analysis. It appears that further development multiphysics approach will main direction research this area near future.