Abstract Knowledge of porosity and saturation‐dependent thermal conductivities is necessary to investigate heat water transfer in natural porous media such as rocks soils. Thermal conductivity a medium affected by the complicated relationship between topology geometry pore space solid matrix. However, content increases from completely dry fully saturated, effect liquid phase on may increase substantially. Although various methods have been proposed model saturation dependence conductivity,...

Tortuosity is a property of porous media that invoked and used in the literature on hydrology, soil science, physics, engineering. It has been defined variety ways, one which purely geometrical concept. In this study, we focused tortuosity developed model based percolation theory finite-size scaling approach. Our result, for any saturation, expresses as power-law function water content, critical system size. The parameters include fractal dimension either backbone (the flow-carrying part...

The porosity dependence of the formation factor for geologic media is examined from perspective universal scaling laws percolation and effective medium theories. Over much range observed porosity, expected observed, but values numerical prefactor do not conform to simple predictions theory. Combining theories produces a whose value depends on both threshold above which crosses scaling. This change allows extraction prefactor, reasonably close experimental values. Subsequent evaluation shows...

Abstract Quantifying fluid flow through porous media hinges on the description of permeability, a property considerable importance in many fields ranging from oil and gas exploration to hydrology. A common building block for modeling permeability is consideration tubes with circular cross section described by Poiseuille's law which discharge proportional fourth power tube's radius. In most natural media, pores are neither cylindrical nor smooth; they often have an irregular rough surfaces....

Abstract Upscaling pore pressure dependence of shale gas permeability is great importance and interest in the investigation production unconventional reservoirs. In this study, we apply Effective Medium Approximation, an upscaling technique from statistical physics, modify Doyen model for rocks. We develop to estimate pressure‐dependent throat size distribution, connectivity, tortuosity, porosity, characteristics. compare our adapted with six data sets: three experiments, one pore‐network...

Primary drainage capillary pressure data are usually correlatable with a 3D predictable property of grid cells. Accordingly, rock typing is normally performed based on an established correlation. as well corresponding imbibition and/or secondary curves averaged to establish saturation table for each type region in reservoir modeling. This study investigates the reliability this industry-accepted methodology, and has two main contributions. First, we show that if different types pressures...

Abstract The basic partitioning of precipitation P into evapotranspiration ET and run‐off Q is known as the “central problem hydrology.” depends primarily on precipitation, , potential evapotranspiration, PET, which are connected by biological process photosynthesis. Photosynthesis fundamental step underlying productivity plant ecosystems. An important measure creation biomass, quantified net primary productivity, NPP. NPP most parsimoniously related simply to ET. dependence (ET) appears be...

Abstract Infiltration regulates the movement and storage of water at soil–atmosphere interface is, therefore, a key component many related physical biogeochemical processes. Numerous studies have examined infiltration over past two centuries. These efforts resulted in development numerous models that capture effects specific soil properties initial boundary conditions. This proliferation has advanced our collective ability to understand processes but also made it challenging for researchers...

A strong alkali was hydrolyzed in the presence of acidic oil to produce an anionic surfactant prevent decline value. Also, sodium dodecyl sulfate (SDS) considered surfactant, and hydroxide carbonate were alkalis. We examined mechanism interfacial tension reduction with alkaline-surfactant wettability changes three rocks. Moreover, effect alkaline on reservoir investigated by quantitative measurement static contact angle. Results showed that rocks changed adding concentration two types (NaOH)...

Accurate prediction of the saturation dependence different modes transport in porous media, such as those due to conductivity, air permeability, and diffusion, is broad interest engineering natural resources management. Most current predictions use a "bundle capillary tubes" concept, which, despite its widespread use, severely distorted idealization media. In contrast, percolation theory provides reliable powerful means model interconnectivity disordered networks materials. this study, we...

Abstract Thermal conductivity is an essential component in multiphysics models and coupled simulation of heat transfer, fluid flow, solute transport porous media. In the literature, various empirical, semiempirical, physical were developed for thermal its estimation partially saturated soils. Recently, Ghanbarian Daigle (GD) proposed a theoretical model, using percolation‐based effective‐medium approximation, whose parameters are physically meaningful. The original GD model implicitly...

Abstract Understanding the time‐dependent scaling of chemical weathering has been a significant research goal for over decade. A percolation theoretical treatment nonreactive solute transport that was previously shown compatible with rates is here to be soil formation rates, and C N sequestration in as well. In this framework, backbone fractal dimensionality, which generates long‐time tail arrival time distribution, also predicts reaction while laboratory proportionality fluid flow velocity...

Abstract Understanding and accurate prediction of gas or liquid phase (solute) diffusion are essential to contaminant transport in partially saturated porous media. In this study, we propose analytical equations, using concepts from percolation theory the Effective Medium Approximation (EMA) model saturation dependence both solute The predictions our theoretical approach agree well with results nine lattice Boltzmann simulations. We find that universal quadratic scaling predicted by theory,...

Abstract Gas diffusion modeling in percolation clusters provides a theoretical framework to address gas transport porous materials and soils. Applying this methodology, above the threshold air‐filled porosity dependence of media follows universal scaling, power law (less value) with an exponent 2.0. We evaluated our hypothesis using 71 experiments (632 data points) including repacked, undisturbed, field measurements available literature. For purpose, we digitized D p / 0 (where are...

Abstract Accurate prediction of the relative permeability to water under partially saturated condition has broad applications and been studied intensively since 1940s by petroleum, chemical, civil engineers, as well hydrologists soil scientists. Many models have developed for this purpose, ranging from those that represent pore space a bundle capillary tubes, utilize complex networks interconnected bodies throats with various cross‐section shapes. In paper, we propose an approach based on...