Mathematical modeling and simulation of closing function of water hammer system during gas production

Abstract

Mathematical modelling and simulation of closing function of water hammer system during gas production described the speed variation of gas as valves close automatically. The fluctuation of speed witnessed was as a result of automatic valve closing and always give back pressure and the shape of the pressure curve where a wide variety of closing modes exists, depending on the valve type and their operation is mathematically represented by a function. The pressure wave obtained in this work can be significantly important to those in gas producing industries. It is in this regard that the author aim is to reduce the problem encountered in gas producing industries by developing a one-dimensional system of governing equations. The equation was simplified to generic function which was formulated to accommodate a suitable closing laws by means of a polygonal segmented structure and solve by Laplace Transformation. The boundary conditions used in this work is generated from a special algothrim that described the transitory. It is observed that back pressure wave shape and amplitude depend on the closing function of valves and in unique relationship. The results can prevent premature closure of gas in gas producing industries. This work has presented an information about the over-pressure peak, shape and phase of the pressure wave during the gas production. It has an advantage of helping gas production industries in choosing the best type of closing laws and help in arresting the over increase in pressure which may cause rupture to a pipe or cause damage to equipment.