In seismology, an important goal is to attain a better understanding of the earthquake process. In this study of the physics of aftershock generation, I couple statistical analysis with modelling of physical processes in the postseismic period. I present a theoretical formulation for the distribution of interevent times for aftershock sequences obeying the empirically well established Omori law. As opposed to claims by other authors, this work demonstrates that the duration of the time interval between two successive earthquakes cannot be used to identify whether or not they belong to the same aftershock sequence or occur as a result of the same underlying process. This implies that a proper understanding of earthquake interevent time distributions is necessary before conclusions regarding the physics of the earthquake process are drawn. In a discussion of self-organised criticality (SOC) in relation to empirical laws in seismology, I find that Omori's law for aftershocks cannot be used as evidence for the theory of SOC. Instead, I consider that the occurrence of aftershocks in accordance with Omori's law is a result of a physical process that can be modelled and understood. I analyse characteristic features in the spatiotemporal distribution of aftershocks in the south Iceland seismic zone, following the two M6.5 June 2000 earthquakes and a M4.5 earthquake in September, 1999. These features include an initially constant aftershock rate, whose duration is larger following a larger main shock, and a subsequent power law decay that is interrupted by distinct and temporary deviations in terms of rate increases and decreases. Based on pore pressure diffusion modelling, I interpret these features in terms of main shock initiated diffusion processes. I conclude that thorough data analysis and physics-based modelling are essential components in attempts to improve our understanding of processes governing the occurrence of earthquakes.

Cette thèse est une étude expérimentale de la transformation lente et rapide d’un milieu poreux sous l’action de l’écoulement d’un fluide. Le processus rapide est une déformation mécanique avec formation de canaux en raison de la forte pression du fluide, alors que le processus lent correspond à l’évolution chimique des fractures. L’étude de la déformation rapide est effectuée grâce à l’injection d’air à pression constante dans un milieu granulaire sec ou saturé. Par des techniques d’imagerie nous avons pu caractériser l’invasion par des motifs de Saffman-Taylor ; la déformation du milieu ; ainsi que les régimes d’écoulement et la dynamique de croissance des canaux. La pression interstitielle est évaluée numériquement et utilisée pour caractériser la rhéologie. L’étude de la transformation lente repose sur des expériences où de l’eau distillée est injecté à débit constant à travers un échantillon de calcaire fracturé. En comparant l’ouverture des fractures mesurées avant et après l’écoulement, nous avons caractérisé l’évolution des fractures pour différentes durées d’écoulement réactif. / This thesis is an experimental study of flow and transformation of porous media, where we study both fast and slow transformation of the media due to fluid flow. The fast process is mechanical deformation and channel formation due to high fluid pressure, and the slow process is chemical evolution of fractures. In the study of fast deformation, we perform experiments where air is injected at a constant overpressure into a saturated or dry granular medium. From recorded images, we characterize Saffman-Taylor like invasion patterns, surrounding deformation of the medium, flow regimes, and channel growth dynamics. Pore pressure is evaluated numerically, and used to characterize the rheology. In the study of slow transformation, we perform experiments where distilled water is injected at a constant flow rate through a fractured chalk sample. By comparing fracture apertures measured before and after experiments, we study the evolution of fractures for different durations of reactive flow.