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Most of the natural and biological phenomena such as solute transport in porous media exhibit variability which can not be modeled by using deterministic approaches. There is evidence in natural phenomena to suggest that some of the observations can not be explained by using the models which give deterministic solutions. Stochastic processes have a rich repository of objects which can be used to express the randomness inherent in the system and the evolution of the system over time. The attractiveness of the stochastic differential equations (SDE) and stochastic partial differential equations
Stochastic processes --- Porous materials --- Transport theory --- Fluid dynamics --- Stochastic processes. --- Permeability --- Mathematical models. --- Random processes --- Probabilities --- Porous media --- Materials --- Porosity
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Guidelines for Quality Assurance of Installed Fine-Pore Aeration Equipment provides techniques and guidance for use in developing quality assurance requirements for specifying fine-pore aeration equipment. Three methods for specifying compliance testing are described, including information on appropriate applications, advantages and disadvantages of each method, and the procedures to be followed. Two methods are based on conducting oxygen transfer shop tests, and the third is based on conducting full-scale oxygen transfer testing. The basis for compliance testing includes oxygen transfer testing of selected individual diffusers or two reference tests-dynamic wet pressure and effective flux ratio. A description of test procedures and diffuser sampling is included. Quality assurance benefits all parties involved in the manufacturing, specification, and use of aeration equipment by providing quality diffusers delivered at the site at a reasonable cost.
Sewage --- Quality assurance. --- Quality control --- Aeration --- Equipment and machinery --- Porous media --- Oxygen transfer --- Diffusion --- Full-scale tests --- Manufacturing --- Purification --- Aeration.
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Stochastic Methods for Flow in Porous Media: Coping with Uncertainties explores fluid flow in complex geologic environments. The parameterization of uncertainty into flow models is important for managing water resources, preserving subsurface water quality, storing energy and wastes, and improving the safety and economics of extracting subsurface mineral and energy resources.This volume systematically introduces a number of stochastic methods used by researchers in the community in a tutorial way and presents methodologies for spatially and temporally stationary as well as nonst
Stochastic processes --- Porous materials --- Stochastic processes. --- Groundwater flow. --- Flow, Groundwater --- Hydrodynamics --- Fluids --- Subsurface drainage --- Random processes --- Probabilities --- Porous media --- Materials --- Porosity --- Fluid dynamics. --- Migration
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During the last decades, continuum mechanics of porous materials has achieved great attention, since it allows for the consideration of the volumetrically coupled behaviour of the solid matrix deformation and the pore-fluid flow. Naturally, applications of porous media models range from civil and environmental engineering, where, e. g. , geote- nical problems like the consolidation problem are of great interest, via mechanical engineering, where, e. g. , the description of sinter materials or polymeric and metallic foams is a typical problem, to chemical and biomechanical engineering, where, e. g. , the complex structure of l- ing tissues is studied. Although these applications are principally very different, they basically fall into the category of multiphase materials, which can be described, on the macroscale, within the framework of the well-founded Theory of Porous Media (TPM). With the increasing power of computer hardware together with the rapidly decreasing computational costs, numerical solutions of complex coupled problems became possible and have been seriously investigated. However, since the quality of the numerical solutions strongly depends on the quality of the underlying physical model together with the experimental and mathematical possibilities to successfully determine realistic material parameters, a successful treatment of porous materials requires a joint consideration of continuum mechanics, experimental mechanics and numerical methods. In addition, micromechanical - vestigations and homogenization techniques are very helpful to increase the phenomenological understanding of such media.
Porous materials --- Continuum mechanics --- Mechanical properties --- Mathematical models --- Mechanics. --- Mechanics, Applied. --- Engineering mathematics. --- Vibration. --- Surfaces (Physics). --- Geotechnical Engineering & Applied Earth Sciences. --- Solid Mechanics. --- Mathematical and Computational Engineering. --- Vibration, Dynamical Systems, Control. --- Characterization and Evaluation of Materials. --- Geotechnical engineering. --- Applied mathematics. --- Dynamical systems. --- Dynamics. --- Materials science. --- Material science --- Physical sciences --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Cycles --- Sound --- Engineering --- Engineering analysis --- Mathematical analysis --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Engineering, Geotechnical --- Geotechnics --- Geotechnology --- Engineering geology --- Porous media --- Materials --- Porosity --- Mechanics of continua --- Elasticity --- Field theory (Physics)
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