32 citations · 63 across the 10 of their papers we have counts for
10 papers
A high-order, structure preserving scheme for the stochastic Galerkin shallow water equations -- unification and two-dimensional extension
Philipp Öffner, Per Pettersson, Andrew R. Winters
Recently, two independent research efforts have been made to study the stochastic Galerkin formulation of the shallow water equations. Bender and Öffner developed entropy-conservat…
Cooperative games defined by multi-objective optimization in competition for subsurface resources
Per Pettersson, Sebastian Krumscheid, Sarah Gasda
We propose a novel decision making framework for forming potential collaboration among otherwise competing agents in subsurface systems. The agents can be, e.g., groundwater, CO$_2…
Multi-objective optimization for multi-agent injection strategies in subsurface CO storage
Per Pettersson, Sebastian Krumscheid, Sarah Gasda
We propose a novel framework for optimizing injection strategies in large-scale CO storage combining multi-agent models with multi-objective optimization, and reservoir simulat…
Copula modeling and uncertainty propagation in field-scale simulation of CO fault leakage
Per Pettersson, Eirik Keilegavlen, Tor Harald Sandve +2
Subsurface storage of CO is an important means to mitigate climate change, and to investigate the fate of CO over several decades in vast reservoirs, numerical simulation b…
Sequential Estimation using Hierarchically Stratified Domains with Latin Hypercube Sampling
Sebastian Krumscheid, Per Pettersson
Quantifying the effect of uncertainties in systems where only point evaluations in the stochastic domain but no regularity conditions are available is limited to sampling-based tec…
Adaptive stratified sampling for non-smooth problems
Per Pettersson, Sebastian Krumscheid
Science and engineering problems subject to uncertainty are frequently both computationally expensive and feature nonsmooth parameter dependence, making standard Monte Carlo too sl…
Mathematical Modeling, Laboratory Experiments, and Sensitivity Analysis of Bioplug Technology at Darcy Scale
David Landa-Marbán, Gunhild Bødtker, Bartek Florczyk Vik +4
In this paper we study a Darcy-scale mathematical model for biofilm formation in porous media. The pores in the core are divided into three phases: water, oil, and biofilm. The wat…
Level Set Methods for Stochastic Discontinuity Detection in Nonlinear Problems
Per Pettersson, Alireza Doostan, Jan Nordström
Stochastic physical problems governed by nonlinear conservation laws are challenging due to solution discontinuities in stochastic and physical space. In this paper, we present a l…
A pore-scale model for permeable biofilm: numerical simulations and laboratory experiments
David Landa-Marbán, Na Liu, Iuliu Sorin Pop +5
In this paper we derive a pore-scale model for permeable biofilm formation in a two-dimensional pore. The pore is divided in two phases: water and biofilm. The biofilm is assumed t…
Stochastic Galerkin Framework with Locally Reduced Bases for Nonlinear Two-Phase Transport in Heterogeneous Formations
Per Pettersson, Hamdi A. Tchelepi
The generalized polynomial chaos method is applied to the Buckley-Leverett equation. We consider a spatially homogeneous domain modeled as a random field. The problem is projected…