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Hydrology --- Data processing. --- Groundwater --- Groundwater flow --- Data processing

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Thermodynamically constrained averaging theory provides a consistent method for upscaling conservation and thermodynamic equations for application in the study of porous medium systems.  The method provides dynamic equations for phases, interfaces, and common curves that are closely based on insights from the entropy inequality. All larger scale variables in the equations are explicitly defined in terms of their microscale precursors, facilitating the determination of important parameters and macroscale state equations based on microscale experimental and computational analysis. The method requires that all assumptions that lead to a particular equation form be explicitly indicated, a restriction which is useful in ascertaining the range of applicability of a model as well as potential sources of error and opportunities to improve the analysis.

Averaging method (Differential equations). --- Differential equations, Linear. --- Porous. --- Porous materials --- Thermodynamics --- Chemical & Materials Engineering --- Engineering & Applied Sciences --- Materials Science --- Mathematical models --- Mathematics --- Porous materials. --- Porous media --- Earth sciences. --- Geology --- Mineralogy. --- Geophysics. --- Thermodynamics. --- Earth Sciences. --- Geophysics/Geodesy. --- Quantitative Geology. --- Statistical methods. --- Materials --- Porosity --- Physical geography. --- GeologyxMathematics. --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Physics --- Heat --- Heat-engines --- Quantum theory --- Physical geology --- Crystallography --- Minerals --- Geography --- Geology—Statistical methods. --- Geological physics --- Terrestrial physics --- Earth sciences

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The XV International Conference on Computational Methods in Water Resources (CMWR XV) was held in Chapel Hill, North Carolina, 13-17 June 2004. The conference was sponsored by the Department of Environmental Sciences and Engineering, School of Public Health, The University of North Carolina at Chapel Hill. This two-volume set represents the reviewed and edited proceedings of this meeting, including 156 papers. In addition, many posters were presented at the meeting, which are not included in this formal written record. These collective works include contributions by many of the leading water resources research groups from around the world. Broad in scope, these papers address numerous aspects of water resources systems, ranging from the microscale to the field scale and from the very fundamental to the most compelling and important of applications. Virtually all major classes of numerical methods for water resources problems are represented in these proceedings, from the evolution of traditional approaches to the latest in methods of recent invention. As has been traditional at past CMWR meetings, subsurface hydrology, land surface hydrology, and surface water hydrology are well represented.

Hydrology --- Groundwater --- Groundwater flow --- Data processing