SUMMARY Obtaining the seismic response of rocks containing cracks whose scales are much smaller than prevailing wavelengths is a classic and important problem in rock physics. Seminal analytical models yield signatures cracked saturated with single fluid phase. However, wide variety practically relevant scenarios, may be partially multiple immiscible fluids contrasting compressibilities, such a...

The evolution of carbon dioxide bubbles dissolving in water is experimentally examined using long microchannels. We study the coupling between bubble hydrodynamics and dissolution in confined geometries. The gas impregnation process in liquid produces significant flow rearrangements. Depending on the initial volumetric liquid fraction, three operating regimes are identified, namely saturating, ...

Olaf Kolditz (corresponding author) Jens-Olaf Delfs Geohydrology and Hydroinformatics, Center for Applied Geoscience, University of Tübingen, Tübingen D-72076, Germany and Environmental Informatics, Helmholtz Center for Environmental Research UFZ, 04318 Leipzig, Germany E-mail: [email protected] Claudius Bürger Martin Beinhorn Geohydrology and Hydroinformatics, Center for Applied Geoscience, ...

We are now ready to finish the analysis of the approximation factor of the algorithm. Our goal is to bound the weight of the chosen feedback set, namely, w(F). To meet this end, we consider separately the chosen intra-saturated vertices and the chosen inter-saturated vertices. Recall, that in the ith iteration we add to F a subset F i = A i B i. The vertices in A i are intra-saturated by the fl...