Sress-strain analysis and optimization of the geometric shape of cylindrical oilfield reservoirs

The paper sets forth an approach for calculating and optimizing the geometric shape, taking into account the physical nonlinearities of the material of oilfield reservoirs and the end conditions of supports. An effective calculation technique based on finite difference methods has been developed. On the basis of the developed methods, a computational algorithm was created, a set of applied programs was compiled. An analysis of the calculation results based on the developed computational technique showed that the solution of the problems of determining the stress-strain behavior of shells must be carried out taking into account the physical nonlinearity. The influence of various factors on the stress-strain behavior of the reservoir was found out. A general method for the linearization of a thin structure with changeable geometric parameters is proposed, which has accelerated convergence. Based on the results of the calculations, concrete formulas and diagrams have been compiled that can be used in engineering practice. Keywords: shell; cylindrical oilfield reservoir; nonlinear model; finite difference method.