Spatial-Temporal Distributions of the Pressure in a Bed with a Well in Different Regimes of Production of a Fluid from the Well

The problem on the nonstationary pressure field formed in a filter bed with a well in the regimes of start of a pump used in the production of a fluid from the well, continuous work of the pump with a variable productive rate, and subsequent stop of the pump was solved with regard for the mass balance of the fluid flowing from the bed into the well, the fluid produced from the well, and the fluid used to change the fluid level in the annulus of the well. Results of computational experiments on determination of the spatial-temporal pressure distributions in the bed and in the well in different regimes of production of the fluid from the well are discussed. The main factors determining the spatial-temporal distributions of the pressure in the bed after the pumping of the fluid from the well begins and after it is terminated were found. The influence of the collector characteristics of the bed, the viscosity of the fluid saturating it, and the rate of pumping of the fluid from the well on the formation of pressure fields in the bed and in the well, the duration of the periods of relaxation and stabilization of the pressure field in the bed, and the dynamics of its transformation into the steady state at different stages of production of the fluid from the well was determined.