Numerical simulation of conjugated heat exchange in the turbulent motion of fluid in an oil well

Abstract

The mathematical model of conjugate heat exchange is proposed for the turbulent movement of reservoir oil in a vertical well section. The motion of the medium is described using a two-dimensional axisymmetric stationary formulation and boundary layer equations. The movement of the turbulent flow of reservoir oil due to reservoir energy is presented. The liquid medium is a mixture of reservoir oil with dissolved gas and formation water. The results of the numerical modeling are presented in the form of dependences of the changing flow rate, temperature, and mass fraction of paraffin deposits that occur along the full vertical extent of the well. The results obtained describe the thermobaric state of the well under the condition of conjugate heat exchange between the fluid flow and the production pipe.

Numerical Simulation of Conjugate Heat Exchange at Gas Flowing in a Well

“…are empirical coefficients of the turbulence model. The initial and boundary conditions are taken as those in [10,10]. The system of equations ( 1) -( 5) is solved using the finite-difference method [12].…”

“…The mathematical models are widely used for describing the turbulent gas flow, for example, in [6 -8]. In [9,10] the solutions for the problems of conjugate heat exchange are given for the laminar and turbulent flows of formation fluid in a well. It is shown that the movement of the formation fluid containing heavy hydrocarbons can lead to the formation of paraffin on the inner walls of wells.…”