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 fi eld formed in a fi lter bed with a well in the regimes of start of a pump used in the production of a fl uid 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 fl uid fl owing from the bed into the well, the fl uid produced from the well, and the fl uid used to change the fl uid 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 diff erent regimes of production of the fl uid from the well are discussed. The main factors determining the spatial-temporal distributions of the pressure in the bed after the pumping of the fl uid from the well begins and after it is terminated were found. The infl uence of the collector characteristics of the bed, the viscosity of the fl uid saturating it, and the rate of pumping of the fl uid from the well on the formation of pressure fi elds in the bed and in the well, the duration of the periods of relaxation and stabilization of the pressure fi eld in the bed, and the dynamics of its transformation into the steady state at diff erent stages of production of the fl uid from the well was determined.
   
Author:  A. I. Filippov ,  O. V. Akhmetova ,  A. A. Koval′skii ,  M. A. Zelenova ,  N. A. Unchshikov
Keywords:  fi ltration, productive rate, well, pump, exact solution, Laplace–Carson integral transform, computational experiment
Page:  867