On a problem of optimum oil production process control with application of probability law of distribution for some parameter of laminated layer

Mathematical model, which describes two-phase filtration process in laminated layer is offered. Parameters of laminated layer might change in thickness as well as in length (square expanse). Probability law of absolute permeability distribution along thickness is described with discrete analogue of random quantity distribution. Four hypotheses about water displacement of oil from volume element of laminated layer are defined. Comparison of the basic technological indicator of oil production with and without optimal regulation process is made.