Physical Sciences and Mathematics Commons^™

Relating Reactive Transport To Hierarchical And Multiscale Sedimentary Architecture, Mohamad Reza Soltanian

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This dissertation addresses the transport of reactive solutes in groundwater. The goal is to better link reactive transport processes to what is known about sedimentary architecture. New forms of Lagrangian-based models for the processes of retardation and dispersion are derived through linking the models to hierarchical and multiscale sedimentary architecture. This allows for a fundamental understanding of how these processes arise from the hierarchical architecture of sedimentary facies, and allows for a quantitative decomposition of these processes into facies-related contributions at different scales within the hierarchy.

The main focus is on reactive transport characterized by a high Damkohler number, DN, …

Linking Plume Spreading To Hierarchical Stratal Architecture, Ramya Ramanathan

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A new form of the Lagrangian-based model for macrodispersion of inert (non-reactive) solutes is presented. The model is based on a hierarchical expression of the spatial covariance of log-permeability representing a hierarchy of stratal unit types with a corresponding hierarchy of permeability subpopulations. The covariance expression representing the hierarchy of unit types is a linear sum of terms corresponding to the probability of transitioning across stratal unit types of different scales, and these terms are directly related to quantifiable geometric attributes of the hierarchical stratal architecture. The new macrodispersion model is also a linear sum of terms, with different integral …