Traditionally geothermal energy utilizes naturally occurring steam or hot water trapped in permeable rock formations through naturally occurring extraction wells or by implementing the hydraulic fracturing process by fracturing rock formations with water-based fracturing fluids. In contrast, in Enhanced Geothermal System (EGS) hydraulic fracturing process is utilized to create new or reopen existing fractures by injecting high-pressure fluid into deep Hot Dry Rocks (HDR) under carefully controlled conditions. Fracturing fluids are usually water-based that utilize an immense quantity of water. In EGS, they are essential for conducting hydraulic fracturing which bring the concern of technical approach and environmental impact. Thus, an alternative approach is to use waterless fracturing technologies, such as foam-based fracturing fluid. Foams are a complex mixture of the liquid and gaseous phases, where the liquid phase act as an ambient phase and gas is the dispersed phase. Foam fracturing fluids offer potential advantage over conventional water-based fracturing fluids, including reduced water consumption and environmental impact. Although foam-based fracturing has shown promising results in oil and gas industries, its feasibility has not been demonstrated in EGS conditions that usually involve high temperature and high pressures. One potential barrier to utilizing foam as fracturing fluid in EGS applications is that foams are thermodynamically unstable and will become more unstable with increasing temperature due to phenomena such as liquid drainage, bubble coarsening, and coalescence. Therefore, it is essential to stabilize foam fluids at high temperatures for EGS related applications such as fracking of HDRs. This project aims to evaluate the thermodynamic behavior of foams at high temperature and high pressure conditions closely resembling the geothermal environment. In this research, foam behavior was categorized as foam stability based on its half-life, i.e., the time taken by the foam to decrease to 50% of its original height. A laboratory apparatus was constructed to evaluate the foam half-life for a temperature range of room temperature to 200°C and a pressure range of ambient pressure to > 1000 psi. Two types of dispersed/gaseous phases, nitrogen gas (N2) and carbon dioxide gas (CO2), were investigated. Four different types of commercial foaming agents/surfactants with various concentrations were tested, including alfa olefin sulfonate (AOS), sodium dodecyl sulfonate (SDS), TergitolTM (NP – 40), and cetyltrimethylammonium chloride (CTAC). Moreover, five stabilizing agents, guar gum, bentonite clay, crosslinker, silicon dioxide nanoparticles (SiO2), and graphene oxide dispersions (GO), were also added to the surfactants to enhance foam stability. Experimental results showed that N2 foams were more stable than CO2 foams. It was observed that foam half-life decreased with the increase in temperature. Among all the surfactants, AOS foams showed the most promising thermal stability at high temperatures. Moreover, with the addition of stabilizing agents, foam's half-life was enhanced. Stabilizing agents such as crosslinker and GO dispersion showed the most stable foams with half-life recorded at 20 min and 17 min, respectively, at 200°C and 1000 psi. Finally, pressure also showed a positive effect on foam stability; with increased pressure, foam half-life was increased. Based on the experimental data, analytical models for the effect of temperature and pressure were developed, considering foam degradation is a first-order kinetic reaction that linearly depends on the foam drainage mechanism. The effect of temperature on foam half-life was studied as an exponential decay model. In this model, foam half-life is a function of drainage rate constant (DA) and activation energy (Ea) of the foam system. The effect of pressure on foam half-life was found to obey a power-law model where an increase in pressure showed an increase in foam half-life. Furthermore, a linear relation was studied for the effect of pressure on foam activation energy and drainage rate. Then the, combined effects of temperature and pressure were studied, which yielded an analytical model to predict the foam stabilities in terms of half-life for different foam compositions. This research indicates that with an appropriate selection of surfactants and stabilizing agents, it is possible to obtain stable foams, which could replace conventional water fracturing fluid under EGS conditions. / Mechanical Engineering

Les mousses aqueuses sont des fluides complexes constitués de dispersions concentrées de bulles de gaz dans une solution de tensioactifs. A l'instar d'autres fluides complexes comme les émulsions ou les pâtes, une mousse se comporte comme un solide viscoélastique lorsque la fraction volumique de la phase continue est suffisamment faible pour que l'empilement des bulles soit bloqué. Ses propriétés mécaniques résultent de couplages entre processus se produisant à plusieurs échelles de temps et d'espace : celles des tensioactifs adsorbés aux interfaces liquide-gaz, celles d'une bulle de gaz ou de mouvements collectifs à une échelle mésoscopique. A partir de trois expériences, nous avons mis en évidence l'impact du désordre de leur structure d'une part, et celui des tensioactifs d'autre part, sur les propriétés viscoélastiques des mousses. Nous avons mis au point un rhéomètre oscillatoire qui permet de mesurer la relation contrainte-déformation-fréquence d'une monocouche de bulles confinées entre deux parois planes parallèles tout en contrôlant sa pression osmotique. Nous avons montré que les relaxations de ces mousses de structure modèle sont pilotées par la rhéologie interfaciale de cisaillement que nous avons caractérisée indépendamment. Nous proposons un modèle quantitatif de ce couplage. Dans une deuxième expérience, nous avons sondé la réponse viscoélastique des mousses de structure 3D désordonnées. Nos résultats montrent que selon la rigidité des interfaces, le facteur de perte d'une mousse est décrit par une loi d'échelle en fréquence. Son évolution avec la taille des bulles et la viscosité du liquide permet de déterminer le mécanisme à l'origine de la dissipation. Dans une troisième expérience, Nous avons élaboré des mousses monodisperses de structure 3D ordonnées et de pression osmotique contrôlée. De manière remarquable, la variation de leur facteur de perte en fonction de la fréquence est similaire à celle des mousses désordonnées de même composition chimique. Ces résultats démontrent que le désordre de l'empilement des bulles n'est pas à l'origine des relaxations viscoélastiques linéaires des mousses, comme l'avaient suggéré plusieurs modèles théoriques, et ouvrent la voie à une modélisation quantitative du lien entre la viscoélasticité des interfaces et celle des mousses 3D / Aqueous foams are constituted of concentrated gas bubble dispersions in a surfactant solution. Like other complex fluids, such as emulsions or pastes, foam behaves as a viscoelastic solid if the volume fraction of the continuous phase is sufficiently small for the bubble packing to be jammed. The mechanical properties of the foam are due to couplings between processes at a wide range of time and length scales: The ones of the surfactant molecules that are adsorbed to the gas-liquid interfaces, the ones of the bubbles or collective motions at a mesoscopic scale. On the basis of three experiments, we have evidenced the impact of structural disorder and surfactant properties on foam viscoelasticity. We have constructed an oscillatory rheometer to measure the frequency and strain dependent stress response of a bubble monolayer confined between two parallel plates, subjected to an imposed osmotic pressure. We have shown that the relaxation of these model foams are governed by the interfacial shear rheology which we have probed in independent experiments and, we present a quantitative model of this coupling. In a second experiment, we have probed the viscoelastic response of disordered 3D foams. Our results show that, depending on interfacial rigidity, the mechanical loss factor of a foam is described by a scaling law depending on frequency. Its dependence on bubble size and liquid viscosity helps to determine the origin of the dissipation. In our third experiment, we have produced monodispersed ordered foams, subjected to a controlled osmotic pressure. Remarkably, the frequency scaling of their loss factor is similar to the one of disordered foams of the same chemical composition. These results demonstrate that the linear viscoelastic response of foams is not the consequence of disorder on the bubble scale as suggested by several previous theories, and they thus open the way for quantitative models linking the viscoelasticity of the interfaces to that of 3D foams