The Influence of Porosity and Flow Rate in an Aquifer on its Temperature Distribution: A mathematical model

Geothermal energy can be promising to help the energy transition. Warm water is pumped up from a geothermal well and after it is cooled down, the cold water is reinjected into the hot aquifer underground. The temperature change could cause chemical balances to be disturbed and result in precipitation on the porous medium of the aquifer. This...

Mixed convective heat transfer across a turbulent flow over a porous wall layer - A numerical study

Thermal convection is a phenomenon seen in almost all facets of life, ranging from planetary convection to ocean currents and convection inside the Earth. The physics of thermal convection complicates when a porous wall layer is present. Flow over urban canopies, forest canopies or flow in underground aquifers are classic examples where thermal...

Wave damping by large-scale offshore kelp farms - A numerical modelling framework using a porous medium approach

Large-scale cultivation of seaweed presents opportunities for multiple global challenges currently at play. Cultivated seaweed can provide a sustainable source of protein for humans and cattle without competing for land, freshwater supply or the use of fertilisers. Kelp forests are known to be a solid basis for an elaborate biome that supports...

Numerical interpretation of regressive localized internal erosion in a real-scale levee physical model

This paper presents the numerical interpretation of a recent experiment on a real-scale levee physical model, in order to investigate the process of Backward Erosion Piping (BEP) and validate a recently proposed finite element formulation able to model both the simultaneous processes observed in backward erosion piping, i.e. the propagation of...

Self-similar solutions to the porous medium equation

The porous medium equation $\dv{t}u=\dv{x}(k(u)\dv{x}u)$ is a non-linear degenerate parabolic partial differential equation. Consequently, existence and uniqueness of its solutions is not immediately evident.<br/>This bachelor thesis presents a detailed discussion of Atkinson's and Peletier's 1971 article ``Similarity profiles of flows through...

Impact of Crude Oil on Pre-Generated Foam in Porous Media

As foam is injected into an oil reservoir, the region near an injector can become oil-free due to the relatively high capillary number. Foam created in this region encounters oil further out in the reservoir. The impact of oil on foam in porous media is usually investigated by co-injecting surfactant, gas and oil, or by injecting pre...

Gradient-based optimization of flow through porous media: Version 3

These notes form part of the course material for the MSc course AES1490 "Advanced Reservoir Simulation" which has been taught at TU Delft over the past decade as part of the track "Petroleum Engineering and Geosciences" in the two-year MSc program "Applied Earth Sciences".<br/>The notes cover the gradient-based optimization of subsurface flow....

Resonance in Low-Temperature Oxidation Waves for Porous Media

This paper analyzes traveling wave profiles possessing an internal resonance point for a class of systems of partial differential equations describing oxidation and vaporization of liquid fuel in a porous medium when an oxidizer (air) is injected. It is shown that the resonance is characterized by a saddle point of an associated vector field...

Multi-component acoustic characterization of porous media

The characterization of porous materials (e.g., sandstone) is very important for geotechnical and reservoir engineers. For this purpose, often use is made of acoustic waves that are sent through the medium. The desired material parameters can then be estimated from the measured signals. However, often only the velocity or the attenuation of the...

Application of the numerical density-enthalpy method to the multi-phase flow through a porous medium

In this paper we apply a new method to solve multi-phase fluid flow problem for 1D1D and 2D2D fluid systems. This method is developed at TNO and presented in [1] for spatially homogeneous systems. We call this method the numerical density-enthalpy method (or ??-hh method) because density-enthalpy phase diagrams (or ??-hh diagrams) play an...

The influence of solutes on the properties of aqueous solutions and the impact on gas production

The effect solutes have on the properties of solvents. The properties of pure solutions (with no solvent in it), a non-electrolyte solution and an electrolyte-solution are compared and discussed. Also a detailed information why these properties change.

Discontinuous Galerkin applied to a generic two-phase flow model in a porous medium

In this Thesis the Disonctinuous Galerkin method has been examined in one and two dimensions applied to a general transport equation. Also a generic two phase flow in a porous medium model has been constructed where a coupling between Dicontinuous Galerkin and the finite element method is used. Finally this model is used for the storage of cold...

T-RANS Simulations of Subcritical Flow with Heat Transfer Past a Circular Cylinder Surrounded by a Thin Porous Layer

We study flow and heat transfer to a cylinder in cross flow at Re = 3,900–80,000 by means of three-dimensional transient RANS (T-RANS) simulations, employing an RNG k???? turbulence model. Both the case of a bare solid cylinder and that of a solid cylinder surrounded at some fixed distance by a thin porous layer have been studied. The latter...

An Immersed Boundary Method for flows around rectangular objects

A second-order accurate and highly efficient Immersed Boundary Method (IBM) is presented for simulating flows along rectangular non-moving solid objects. In this method a rectangular object is placed on a staggered Cartesian grid such that its boundary coincides with grid points for the boundary-normal velocity component. By imposing forces at...

On the Riemann solutions of the balance equations for steam and water flow in a porous medium

Conservation laws have been used to model a variety of physical phenomena and therefore the theory for this class of equations is well developed. However, in many problems, such as transport of hot fluids and gases undergoing mass transfer, balance laws are required to describe the flow. As an example, in this work we obtain the solutions for...