caa a22 4500 463177703 CHVBK 20180406164830.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s10596-007-9048-8 doi (NATIONALLICENCE)springer-10.1007/s10596-007-9048-8 The representer method for two-phase flow in porous media [Elektronische Daten] [John Baird, Clint Dawson] The representer method is applied to a one-dimensional two-phase flow model in porous media; capillary pressure and gravity are neglected. The Euler-Lagrange equations must be linearized, and one such linearization is presented here. The representer method is applied to the linear system iteratively until convergence, though a rigorous proof of convergence is out of reach. The linearization chosen is easy to calculate but does not converge for certain weights; however, a simple damping restores convergence at the cost of extra iterations. Numerical experiments are performed that illustrate the method, and quick comparison to the ensemble Kalman smoother is made. Springer Science+Business Media, Inc., 2007 Representer method nationallicence Two-phase flow nationallicence Porous media nationallicence Ensemble Kalman smoother nationallicence Baird John Center for Subsurface Modeling - C0200, Institute for Computational Engineering and Sciences (ICES), The University of Texas at Austin, TX 78712, Austin, USA aut Dawson Clint Center for Subsurface Modeling - C0200, Institute for Computational Engineering and Sciences (ICES), The University of Texas at Austin, TX 78712, Austin, USA aut Computational Geosciences Springer Netherlands 11/3(2007-09-01), 235-248 1420-0597 11:3<235 2007 11 10596 https://doi.org/10.1007/s10596-007-9048-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10596-007-9048-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Baird John Center for Subsurface Modeling - C0200, Institute for Computational Engineering and Sciences (ICES), The University of Texas at Austin, TX 78712, Austin, USA aut NATIONALLICENCE 700 1- Dawson Clint Center for Subsurface Modeling - C0200, Institute for Computational Engineering and Sciences (ICES), The University of Texas at Austin, TX 78712, Austin, USA aut NATIONALLICENCE 773 0- Computational Geosciences Springer Netherlands 11/3(2007-09-01), 235-248 1420-0597 11:3<235 2007 11 10596 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer