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58 GS15 Abstracts 58 GS15 Abstracts IP1 [email protected] The Seismic Inverse Problem Towards Wave Equa- tion Based Velocity Estimation IP5 Mathematical Modeling of Sedimentary Basins This talk will be on the inverse problem of exploration seis- mology, which aims at recovering earth parameters from There is a fundamental asymmetry in the continental crust controlled source seismic data measured at the surface of between high topography which tends to erode and low to- the earth. I will focus on retrieving the velocity function pography where sediments accumulate. As a result of this of seismic waves and discuss two approaches towards solv- asymmetry, sedimentary basins contain much of the history ing this problem, namely reflection tomography and Full of the Earths topography both high and low. Unravelling Waveform Inversion. that signal means understanding the processes in the base- ment which form the basins themselves and the erosion, Fons ten Kroode transportation and deposition of the sediments which find Shell themselves in the basin. I will review some of the challenges [email protected] in modelling a basin through its formation and filling and also touch on how this knowledge impacts our ability to use basins wisely. IP2 Louis Moresi Numerical Simulation of Fractured Reservoirs: Old School of Mathematical Sciences Challenges and New Ideas Monash University [email protected] Fractures are ubiquitous in geological formations and of- ten control the successful exploitation of valuable resources such as hydrocarbons, water, and heat. Geoscientists, en- IP6 gineers, and mathematicians have struggled for decades to Locally Conservative Methods in Large Scale Sim- model and quantify the relevant physical and chemical pro- ulation cesses accurately. This presentation will review some of the key challenges and approaches, and introduce new model Efficient approximation methods for Stokes-type systems concepts and numerical techniques that could led to a step- are a crucial ingredient for many coupled multi-physics ap- change when simulating heat and mass transfer in fractured plications, e.g., in mantle-convection. The co-design of dis- geological formations. cretization concepts and solvers that satisfy local mass con- servation, scale up to current peta-scale architectures and Sebastian Geiger result in a small time-to-solution is of special interest. Here Heriot-Watt University we discuss locally defined a posteriori flux corrections and Edinburgh a massively scalable hybrid matrix-free simulation frame- [email protected] work. This work is part of the DFG funded priority pro- gram SPPEXA. IP3 Barbara Wohlmuth M2, Centre for Mathematical Sciences, Grimmond CANCELLED Technische Universit¨at M¨unchen, Germany [email protected] Talk is cancelled. Sue Grimmond SP1 University of Reading SIAG/GS Career Prize Lecture: Title Not Avail- [email protected] able at Time of Publication Abstract not available at time of publication. IP4 Jerome Jaffre A Multi-Scale Approach to Global Ocean Climate INRIA-Roquencourt Modeling 78153 Le Chesnay cedex France Jerome.Jaff[email protected] Two advances in the field of applied mathematics have en- abled a new approach to global ocean climate modeling. First, the creation of optimal, smoothly-varying Voronoi CP1 meshes has enabled the specification of different resolu- Dynamics of a Compositional Flow on Porous Me- tions in different parts of the ocean. Second, a mimetic dia discretization of the rotating shallow-water equations in- sures that important conservation principles, such as en- The compositional flow in porous media involves phase cre- ergy and potential vorticity, are maintained on these multi- ation and subsequent fluid transport coupled with phase scale meshes. This talk will highlight how the combination equilibrium. A great challenge in this work is that gas of these advances might transform how we think about and phase appeared and vanished periodically. We present a use global ocean climate models. 2 × 2 dynamic system on a single pore to study these be- haviors. Several tests were run with different injected flow Todd Ringler rate to investigate the condition that the system goes to Los Alamos National Laboratory steady state or the gas phase appeared and vanished peri- GS15 Abstracts 59 odically. Miller, Bill Gray, and Pam Birak. Alex Chang Carl T. Kelley Nat’l Pingtung Teacher’s Coll North Carolina State University Department of Mathematics Mathematics Department [email protected] tim [email protected] CP1 CP1 Nonlocal Continuum Description of Flow in Porous Mathematical Modeling for Geothermal System Media with Long Bypassing Connections Via Sub-Systems and Applications to Secure Hy- drocarbons Waste Disposal In porous media multiple pathways exist between different locations, and flow at a given position has contributions In this presentation we consider a geothermal system and from paths of different length. Considering pore network present a new mathematical model for the geothermal sys- representations of such media, there exist pores which get tem. We view the system in terms of its sub-systems. Lo- bypassed by long tubes. To capture the nonlocal effects cal and asymptotic stability of the model is discussed and due to long bypassing connections, a nonlocal continuum applications to secure hydrocarbons waste disposal. The model is proposed. The model is applied to different porous interesting case of propane is explored. media and the results are compared with Darcy and pore network simulations. Benard O. Nyaare JARAMOGI OGINGA ODINGA UNIVERSITY OF Amir Hossein Delgoshaie SCIENCE AND TECHNOLOGY Institute of Fluid Dynamics, ETH Zurich, Sonneggstrase STUDENT 3, [email protected] Zurich CH-8092, Switzerland [email protected] CP1 Daniel W. Meyer Modeling the Influence of Biosurfactant Adsorp- Institute of Fluid Dynamics tion on Rock Wettability in a Meor Process [email protected] A very general model is presented in the companion work in this congress (Daz-Viera, M., Ortiz-Tapia, A., Hernndez- Hamdi Tchelepi Prez, J., (2015). A flow and transport model in porous Stanford University media for microbial enhanced oil recovery studies. SIAM Energy Resources Engineering Department GS15). Here, is studied the effect of changed biosurfactant [email protected] concentration through adsorption in a rock core, on the residual oil saturation, modeled as a linear function of the Patrick Jenny trapping number, which is in turn an empirical function of Institute of Fluid Dynamics biosurfactant concentration. ETH Zurich [email protected] Arturo Ortiz-Tapia Mexican Petroleum Institute [email protected] CP1 Numerical Methods in Secondary Oil Recovery Martin A. Diaz-Viera INSTITUTO MEXICANO DEL PETROLEO In this talk we present a large time step overlapping grids [email protected] numerical method for hyperbolic conservation laws. The method is based on a finite volume method and has ad- vantages that is relatively inexpensive and easy to imple- CP2 ment. We consider two systems of conservation laws used Duality Based Error Estimator for a Discontinuous in secondary oil recovery modeling multiphase flow of oil, Galerkin Discretization of Advection Problems gas and water, and we present numerical results using the above numerical method. We show that the dual weighted residual method provides an error estimator for a regularized 1D advection equa- Ilija Jegdic tion which converges to the error estimator of the purely Department of Mathematics, University of Houston advective problem under the condition that the primal so- i [email protected] lution in the weak formulation can be tested with the dual solution. Our counter example shows that the weak formu- lation is not defined if the primal and dual solution have CP1 coinciding discontinuities. Calibration of a Tcat Model for Salt Water Intru- sion Susanne Beckers,J¨orn Behrens KlimaCampus, University of Hamburg In this talk we present a novel TCAT model for salt wa- [email protected], ter intrusion. The model is a partial differential algebraic [email protected] equation (PDAE). We discuss the numerical solution of the equations and the calibration of the model against experi- Winnifried Wollner mental data. This is joint work with Deena Giffen, Casey Univeristy of Hamburg 60 GS15 Abstracts [email protected] medium. Aboubacar Konate CP2 Phd Student at Institut Fran¸cais du P´etrole A High-Resolution Scheme for Advective-Diffusive [email protected] Transport Modeling on Arbitrary Polyhedral Grids Vivette Girault A high-resolution finite volume scheme for the discretiza- University of Paris VI tion of advection operatorator on arbitrary 3D polyhedral [email protected] grids is presented. The scheme features local linear recon- struction of concentration on mesh elements, which pro- Xavier Claeys vides second order accuracy in smooth regions and front Paris 6 - LJLL capturing. This reconstruction is accomplished using op- [email protected] timization methods, adapted to the problem. The scheme is compared to conventional methods within the existing Guillaume Enchery groundwater flow and transport modeling software. It’s ap- IFPEN plications to complex problems are shown, namely density- [email protected] driven flow and reactive transport modeling. Sylvain Desroziers Ivan Kapyrin IFP Energies Nouvelles Russian Academy of Sciences [email protected] [email protected] CP2 CP2 Radial Basis Based Spectral Collocation Method Large-Scale 3D Geo-Electromagnetic Modeling for Orr-Sommerfeld
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