Isabelle Faille

IFP Energies nouvelles · Applied Mathematics Department

In this work we focus on further understanding reactive transport in carbonate rocks, in particular limestones characterized by a bimodal pore size distribution. To this end, we performed injection experiments with CO_2-saturated water on a sample of Euville limestone and monitored the experiments with a medical CT scanner. Microscanner imaging was...

Modelling the interactions between mechanical deformations and fluid flow in a porous media leads to the poromechanics [1]. It involves two coupled conservation equations obtained from the mechanical equilibrium and from the fluid mass conservation. A common way to numerically solve a poroelastic model, which is the simplest form of poromechanics,...

In this paper, we design and study a fully coupled numerical scheme for the poroelasticity problem modeled through Biot’s equations. The classical way to numerically solve this system is to use a finite element method for the mechanical equilibrium equation and a finite volume method for the fluid mass conservation equation. However, to capture spe...

The classical way to numerically solve a poroelastic model is to use one discretisation method for each conservation equation, usually with a finite element method for the mechanical part and a finite volume method for the fluid part. However, to capture specific properties of underground media such as heterogeneities, discontinuities and faults, m...

In this work we are interested in dealing with single-phase flows in fractured porous media for underground processes. We focus our attention on domains where the presence of faults, with thickness several orders of magnitude smaller than other characteristic sizes, can allow one part of the domain to slide past to the other. We propose a mathemati...

Modelling the interactions between mechanical deformations and fluid flow in a porous media leads to the well known Biot system. This system involves two coupled equations obtained from the mechanical equilibrium and from the fluid mass conservation. The classical way to numerically solve this system is to use one discretisation method for each con...

In this work we are interested in dealing with single-phase flows in fractured porous media for underground processes. We focus our attention on domains where the presence of faults, with thickness several orders of magnitude smaller than other characteristic sizes, can allow one part of the domain to slide past to the other. We propose a mathemati...

In this paper, we study two different model reduction strategies for solving problems involving single phase flow in a porous medium containing faults or fractures whose location and properties are known. These faults are represented as interfaces of dimension N − 1 immersed in an N dimensional domain. Both approaches can handle various configurati...

In this paper we study two different model reduction strategies for solving problems involving single phase flow in a porous medium containing faults or fractures whose location and properties are known. These faults are represented as interfaces of dimension N − 1 immersed in an N dimensional domain. Both approaches can handle various configuratio...

The basin modelling and petroleum system simulation workflow presented in this paper to achieve modelling of tectonically complex basins is made of the following components: structural restoration, to obtain a structural scenario, gridding, and forward petroleum system simulation. The latter is carried out with the new calculator Arctem, designed f...

Petroleum System Modelling (PSM) has to face various challenges: more and more physical phenomena must be modelled, whereas modelling workflows need to be optimized and made easier to follow. We illustrate how we answer to these industry expectations by three examples of recent developments performed at IFPEN concerning Petroleum System Modelling:...

The traditional 3D basin modeling workflow is made of the following steps: construction of present day basin architecture, reconstruction of the structural evolution through time, together with fluid flow simulation and heat transfers. In this case, the forward simulation is limited to basin architecture, mainly controlled by erosion, sedimentation...

The traditional 3D basin modeling workflow is made of the following steps: construction of present day basin architecture, reconstruction of the structural evolution through time, together with fluid flow simulation and heat transfers. In this case, the forward simulation is limited to basin architecture, mainly controlled by erosion, sedimentation...

This paper presents a basin simulator designed to better take faults into account, either as conduits or as barriers to fluid flow. It computes hydrocarbon generation, fluid flow and heat transfer on the 4D (space and time) geometry obtained by 3D volume restoration. Contrary to classical basin simulators, this calculator does not require a structu...

In this paper, we are interested in modeling single-phase flow in a porous medium with known faults seen as interfaces. We mainly focus on how to handle non-matching grids problems arising from rock displacement along the fault. We describe a model that can be extended to multi-phase flow where faults are treated as interfaces. The model is validat...

In the standard Corner Point Grid approach, a fault zone is supposed to be sufficiently thin to be represented as a surface with non-matching interfaces, due to the throw, across the fault. Following this point of view, we study an approach where fluid flow along the fault is modelized by a lower dimensionnal model, the fault thickness becoming a m...

The abstract presents results of our first 3D basin study in complex areas. It presents the complete workflow from the building of the model at present day, to the volumetric restoration step, and finally first results in OP obtained with the new calculat

We present a strategy for solving time-dependent problems on grids with local refinements in time using different time steps in different regions of space. We propose two conservative approximations based on finite volume with piecewise constant projections and domain decomposition techniques. Next we present an iterative method for solving the com...

We present a strategy for solving time-dependent problems on grids with local refinements in time using different time steps in different regions of space. We discuss and analyze two conservative approximations based on finite volume with piecewise constant projections and domain decomposition techniques. Next we present an iterative method for sol...

We are interested in a robust and accurate domain decomposition method with arbitrary interface conditions on nonmatching multiblock grids using a finite volume discretization. To take into account the nonmatching grids at the interface, we introduce transmission operators, Dirichlet--Neumann interface conditions, and arbitrary equivalent interface...

We are interested in a robust and accurate domain decomposition method with arbitrary interface conditions on non-matching grids using a finite volume discretization. We introduce transmission operators to take into account the non-matching grids. Under compatibility assumptions, we have the well-posedness of the global problem and of the local sub...

We are interested in a robust and accurate domain decomposition method with Robin interface conditions on non-matching grids using a finite volume discretization. We introduce transmission operators on the non-matching grids and define new interface conditions of Robin type. Under a compatibility assumption, we show the equivalence between Robin in...

We present in this paper a domain decomposition method to treat faults in geological basin modeling. The particularity of this model is that the faults whose widths are very small in comparison with the basin size, are not characterized as subdomains any more but as interfaces between sedimentary blocks. The originality of this work lies in the for...

This paper deals with the Ceres prototype which is a basin model able to account porous medium compaction, heat transfer. and hydrocarbon generation and migration. Furthermore, Ceres was designed to handle changing geometry through time as results of sedimentation, erosion, salt or mud creeping and block displacement along fault. The classical flow...

We are concerned with incompressible three-phase fluid flow in sedimentary basins cut by faults along which block displacements can occur (CERES project). In order to handle these complex geometries, we use Domain Decomposition (DD) techniques. Indeed, faults divide the basin into blocks that naturally define computational subdomains. The mathemati...

Les maillages hybrides offrent la flexibilité nécessaire pour modéliser les écoulements en milieu poreux à travers des structures géologiques de géométrie complexe. L'objet de cette étude est de développer des approches numériques performantes pour simuler les écoulements diphasiques com-pressibles en milieu poreux sur ces maillages hybrides. Mots-...

Résumé — Un modèle de bassin 3D pour l'évaluation du potentiel pétrolier : application à l'offshore congolais — La modélisation de bassin 3D est maintenant utilisée par certaines compagnies pétrolières pour conduire leurs activités d'exploration. Les potentialités de cet outil ne sont pas encore complètement explorées, mais il semble qu'il constitu...

This paper deals with the resolution of the hyperbolic system of conservation laws which arises when modeling two-phase flow in an oil and gas pipeline. The model considered here is of the drift–flux type where the slip velocity between the two phases is given by a hydrodynamic model that accounts for the different flow regimes. The complexity of t...

We are interested in the numerical resolution of hyperbolic systems of conservation laws which do not allow any analytical calculation and for which it is difficult to use classical schemes such as Roe's scheme. We introduce a new finite volume scheme called VFRoe. As the Roe scheme, it is based on the local resolution of a linearized Riemann probl...

Introduction Basin modeling aims to reconstruct the evolution of a sedimentary basin taking into account compaction of the porous medium, hydrocarbon formation, and migration. A sedimentary basin is a heterogeneous porous medium consisting of stacked stratigraphic layers that have been deposited from the start of the basin up to the present. Over t...

We wish to present recent works on matching interface conditions arising from Non-Overlapping three dimensional Domain Decomposition Method applied to multiphase fluid flow in porous medium with high heterogeneity jump across the interface.

This article presents a sediment compaction model for sedimentary basin simulators. The concepts previously used in sedimentary basin models are generalized and described in our model based on the formalism specific to rock and soil mechanics. Sediment compaction is described on a geological time scale by an elastoplastic model in which the elastic...

This study completes a previous work (Schneider, 1993) in which the compaction model that is conventionally used in models such as Temispack (Doligez et al, 1986, Ungerer et al, 1990), has been interpretated and formalized.

Various numerical approaches, mainly based upon Finite Volume and Finite Element methods, are proposed for modelling fluid flow in a sedimentary basin. The rnathematical approach considered here is the one currently used in the TEMISPACK (Ungerer et al. 1990) simulator. It regroups the mals conservation equations of solid, water and hydrocarbons, t...

Cette étude complète un travail antérieur (Schneider, 1993) qui a permis d'interpréter et de formaliser le modèle de compaction classiquement utilisé dans des simulateurs comme Temispack (Doligez et al, 1986; Ungerer et al. , 1990). Le nouveau modèle présenté ici se distingue du précédent par l'introduction d'une composante viscoplastique dans l'éq...

The approximation of an elliptic partial differential operator on a two-dimensional irregular grid by a control volume method is studied. A conservative control volume scheme with a consistent approximation of the fluxes is shown to satisfy a property of weak consistency and to be convergent under appropriate stability assumptions. Numerical experi...

The problem we consider in this paper concerns the treatment of hydrocarbons migration in basin simulators. Generaly, migration is computed using the classical numerical schemes developped for reservoir simulators. The classical approach has been used in order to perform a reference solution. In this paper, we present a new approach where a pressur...

Modelling fluid flow in porous media requires the approximation of an elliptic partial differential operator such as div which appears when substituting Darcy’s law m mass conservation equation. When the medium is heterogeneous, the permeability tensor K is discontinuous and depends on the lithologic nature of the medium. In order to take this depe...

We are interested in a robust and accurate domain decomposition method with Robin interface conditions on non-matching grids using a finite volume discretization. We introduce transmission operators to take into account the non-matching grids and define new interface conditions of Robin type. Under a compatibility assumption, we show the equivalenc...

We present in this paper a new approach to treat the faults in geological basin modelling. Indeed the faults are not characterized as subdomains any more but as interfaces between sedimentary blocks. Numerically this new model is solved using finite volume scheme and domain decomposition method with generalized Robin type interface conditions.