Application of automatic differentiation for the simulation of nonisothermal, multiphase flow in geothermal reservoirs
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Application of automatic differentiation for the simulation of nonisothermal, multiphase flow in geothermal reservoirs

  • Author(s): Kim, Jong G.
  • Finsterle, Stefan
  • et al.
Abstract

Simulation of nonisothermal, multiphase flow through fractured geothermal reservoirs involves the solution of a system of strongly nonlinear algebraic equations. The Newton-Raphson method used to solve such a nonlinear system of equations requires the evaluation of a Jacobian matrix. In this paper we discuss automatic differentiation (AD) as a method for analytically computing the Jacobian matrix of derivatives. Robustness and efficiency of the AD-generated derivative codes are compared with a conventional derivative computation approach based on first-order finite differences.

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