Geodesic
Numerical solution of direct and inverse problems for fluid filtration toward a horizontal well
Numerical methods and programming, Tome 6 (2005) no. 1, pp. 262-268.

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An approach to the interpretation of results obtained in the course of hydrodynamic studies of horizontal wells (HW) is proposed on the basis of numerical modeling of 3D fluid flow toward a HW and with the use of regularizing iterative algorithms. The problem of transient flow toward a HW is solved by the finite element method. Finite-difference grids are constructed using the Delaunay triangulation. The Krylov subspace methods are used to solve systems of algebraic equations.
Keywords: horizontal wells, filtration parameters, inverse problems, finite element method, Krylov subspace methods. 
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     title = {Numerical solution of direct and inverse problems for fluid filtration toward a horizontal well},
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P. E. Morozov; M. H. Khairullin; M. N. Shamsiev. Numerical solution of direct and inverse problems for fluid filtration toward a horizontal well. Numerical methods and programming, Tome 6 (2005) no. 1, pp. 262-268. http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a25/