Matthias Weber, Andreas Grießer, Dennis Mosbach, Erik Glatt, Andreas Wiegmann, Volker Schmidt
{"title":"Investigating Microstructure–Property Relationships of Nonwovens by Model-Based Virtual Material Testing","authors":"Matthias Weber, Andreas Grießer, Dennis Mosbach, Erik Glatt, Andreas Wiegmann, Volker Schmidt","doi":"10.1007/s11242-024-02079-8","DOIUrl":"10.1007/s11242-024-02079-8","url":null,"abstract":"<div><p>Quantifying the relationship between geometric descriptors of microstructure and effective properties like permeability is essential for understanding and improving the behavior of porous materials. In this paper, we employ a previously developed stochastic model to investigate microstructure–property relationships of nonwovens. First, we show the capability of the model to generate a wide variety of realistic nonwovens by varying the model parameters. By computing various geometric descriptors, we investigate the relationship between model parameters and microstructure morphology and, in this way, assess the range of structures which may be described by our model. In a second step, we perform virtual materials testing based on the simulation of a wide range of nonwovens. For these 3D structures, we compute geometric descriptors and perform numerical simulations to obtain values for permeability as an effective material property. We then examine and quantify the relationship between microstructure morphology and permeability by fitting parametric regression formulas to the obtained data set, including but not limited to formulas from the literature. We show that for structures which are captured by our model, predictive power may be improved by allowing for slightly more complex formulas.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"151 6","pages":"1403 - 1421"},"PeriodicalIF":2.7,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11242-024-02079-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140561462","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Chuen-Fa Ni, Ching-Min Chang, Chi-Ping Lin, I-Hsian Lee
{"title":"Stochastic Quantification of Spatial Variability of Flow Fields in Heterogeneous, Non-uniform, Confined Aquifers","authors":"Chuen-Fa Ni, Ching-Min Chang, Chi-Ping Lin, I-Hsian Lee","doi":"10.1007/s11242-024-02084-x","DOIUrl":"10.1007/s11242-024-02084-x","url":null,"abstract":"<div><p>Stochastic quantification of flow field variability in complex geologic formations under uncertainty is expected to provide valuable information for rational management of regional groundwater resources and analysis of solute transport processes for stochastic environmental risk assessment. Studies of fluid flow behavior in confined aquifers of variable thickness presented in the literature assume that the thickness of the aquifer varies linearly or nonlinearly. However, natural variations, such as the thickness of the aquifer caused by complex natural events, cannot be accurately predicted. Therefore, quantifying the variability of the flow field in heterogeneous, non-uniform, confined aquifers may be done from a stochastic perspective. In this study, the spatial variations in hydraulic conductivity are considered as a stationary random process, while the spatial variations in aquifer thickness are treated as a nonstationary random process with homogeneous (stationary) increments. General expressions for the spatial covariance functions and the evolutionary power spectra of the depth-averaged hydraulic head and integrated specific discharge in the direction of <i>x</i><sub>1</sub> are derived using the Fourier–Stieltjes spectral representation approach and representation theorem. Closed-form solutions for the evolutionary power spectra of depth-averaged hydraulic head and integrated specific discharge are used to analyze the effect of variation in the thickness of the confined aquifer on the variability of depth-averaged head and integrated discharge. An application of the theory developed here to the case of random aquifer thickness fields exhibiting a power-law semivariogram is given. The results of this study improve the understanding and quantification of flow field variability in natural confined aquifers.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"151 6","pages":"1475 - 1492"},"PeriodicalIF":2.7,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140561460","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Flows of Two Slightly Miscible Fluids in Porous Media: Two-Scale Numerical Modeling","authors":"Y. Amirat, V. Shelukhin, K. Trusov","doi":"10.1007/s11242-024-02080-1","DOIUrl":"10.1007/s11242-024-02080-1","url":null,"abstract":"<div><p>We address the two-scale homogenization of the Navier–Stokes and Cahn–Hilliard equations in the case of a weak miscibility of a two-component fluid. To this end a notion of the miscibility strength is formulated on the basis of a correlation between the upscaling parameter and the surface tension. As a result, a two-scale model is derived. Macro-equations turn out to be a generalization of the Darcy law enjoying cross-coupling permeability tensors. It implies that the Darcy velocity of each phase depends on pressure gradients of both phases. Micro-equations serve for determination both of the permeability tensors and the capillary pressure. An example is constructed by analytical tools to describe capillary displacement of oil by mixture of water with carbon dioxide in a system of hydrophobic parallel channels.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"151 6","pages":"1423 - 1452"},"PeriodicalIF":2.7,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140561902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Estimating geometric tortuosity of saturated rocks from micro-CT images using percolation theory","authors":"Filippo Panini, Behzad Ghanbarian, Eloisa Salina Borello, Dario Viberti","doi":"10.1007/s11242-024-02085-w","DOIUrl":"10.1007/s11242-024-02085-w","url":null,"abstract":"<div><p>Tortuosity (<span>(tau)</span>) is one of the key parameters controlling flow and transport in porous media. Although the concept of tortuosity is straightforward, its estimation in porous media has yet been challenging. Most models proposed in the literature are either empirical or semiempirical including some parameters whose values and their estimations are in prior unknown. In this study, we modified a previously presented geometric tortuosity (<span>({tau }_{g})</span>) model based on percolation theory and validated it against a methodology based on the pathfinding A* algorithm. For this purpose, we selected 12 different porous materials including four sandstones, three carbonates, one salt, and four synthetic media. For all samples, five sub-volumes at different lengths with fifty iterations were randomly selected except one carbonate sample for which three sub-volumes were extracted. Pore space properties, such as pore radius, throat radius, throat length, and coordination number distributions were determined by extracting the pore network of each sub-volume. The average and maximum coordination numbers and minimum throat length were used to estimate the <span>({tau }_{g})</span>. Comparison with the A* algorithm results showed that the modified model estimated the <span>({tau }_{g})</span> accurately with absolute relative errors less than 28%. We also estimated the <span>({tau }_{g})</span> using two other models presented in the literature as well as the original percolation-based tortuosity model. We found that our proposed model showed a significantly higher accuracy. Results also indicated more precise estimations at the larger length scales demonstrating the effect of uncertainties at the smaller scales.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"151 7","pages":"1579 - 1606"},"PeriodicalIF":2.7,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140561365","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jan M. Nordbotten, Martin Fernø, Bernd Flemisch, Ruben Juanes
{"title":"FluidFlower: A Meter-Scale Experimental Laboratory for Geological CO2 Storage","authors":"Jan M. Nordbotten, Martin Fernø, Bernd Flemisch, Ruben Juanes","doi":"10.1007/s11242-024-02067-y","DOIUrl":"10.1007/s11242-024-02067-y","url":null,"abstract":"","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"151 5","pages":"859 - 863"},"PeriodicalIF":2.7,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140730128","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Influence of Pore Network Parameters on Hygric Property Prediction for Porous Building Materials","authors":"Chengnan Shi, Jeroen Soete, Hans Janssen","doi":"10.1007/s11242-024-02076-x","DOIUrl":"10.1007/s11242-024-02076-x","url":null,"abstract":"<p>Hygric pore network modelling, which characterises the macroscopic moisture storage and transport properties by simulating the microscopic storage and transport of moisture in the pore elements of the pore network, is a novel method to characterise the hygric properties of building materials. To analyse, verify and/or compare pore networks, a wide array of parameters (both geometrical and topological) exists. This paper aims to comprehensively investigate these parameters, targeting their impacts on the moisture retention and permeability curves of porous materials. The maximum-inscribed-ball method is employed to extract the pore networks of three real porous materials, which are further scaled down to provide three complementary virtual pore networks in order to cover a wider spectrum of pore sizes. Subsequently, these pore networks are modified to obtain variations in the parameter distributions, and then, a sensitivity analysis is implemented to determine the impact of the pore network parameters on the hygric property prediction. The results indicate that the moisture retention curve is most related to the radius and volume distributions of pore bodies and throats, whilst the distribution of coordination number is the most crucial parameter for the moisture permeability curve. The conclusions are further confirmed through an improved stochastic pore network generation algorithm. With preserved radius and volume distributions for pore bodies and pore throats, the moisture retention curve is predicted accurately. Adding information on the coordination number distribution to the algorithm then ensures the successful prediction of the moisture permeability curve.</p>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"151 6","pages":"1333 - 1361"},"PeriodicalIF":2.7,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140561903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Magneto-Permeability Effect in Ferrofluid Flow Through Porous Media Studied via Multiparticle Collision Dynamics","authors":"Patrick Ilg","doi":"10.1007/s11242-024-02077-w","DOIUrl":"10.1007/s11242-024-02077-w","url":null,"abstract":"<div><p>As more and more promising applications of magnetic nanoparticles in complicated environments are explored, their flow properties in porous media are of increasing interest. We here propose a hybrid approach based on the multiparticle collision dynamics method extended to porous media via friction forces and coupled with Brownian dynamics simulations of the rotational motion of magnetic nanoparticles’ magnetic moment. We simulate flow in planar channels homogeneously filled with a porous medium and verify our implementation by reproducing the analytical velocity profile of the Darcy–Brinkman model in the non-magnetic case. In the presence of an externally applied magnetic field, the non-equilibrium magnetization and friction forces lead to field-dependent velocity profiles that result in effective, field-dependent permeabilities. We provide a theoretical expression for this magneto-permeability effect in analogy with the magneto-viscous effect. Finally, we study the flow through planar channels, where only the walls are covered with a porous medium. We find a smooth crossover from the Poiseuille profile in the center of the channel to Brinkman–Darcy flow in the porous layers. We propose a simple estimate of the thickness of the porous layer based on the flow rate and maximum flow velocity.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"151 6","pages":"1363 - 1380"},"PeriodicalIF":2.7,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11242-024-02077-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140561363","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Berman Slip-Flow in a Parallel-Sided Channel with Porous Boundaries","authors":"Eugen Magyari","doi":"10.1007/s11242-024-02078-9","DOIUrl":"10.1007/s11242-024-02078-9","url":null,"abstract":"<div><p>The title problem which has recently been addressed in this journal is revisited in the present paper under a new point of view. It is shown that the joint effect of the Berman suction or injection normal to the boundaries and the velocity slip along the boundaries is equivalent to the sole effect of an <i>oblique suction or injection</i> of the fluid. The solution of the corresponding boundary value problem is given by a Maclaurin series expansion of the similar stream function to powers of the scaled transverse coordinate <i>y</i>/<i>h</i>. Compared to the classical Berman problem, the existence of several new solution branches of the oblique suction/injection problem is reported. Subsequently, the physical and mathematical aspects of the mentioned equivalence are discussed in the paper in some detail. It is pointed out that the vanishing midplane velocity represents the crossover from the physically feasible unidirectional flows to the unfeasible bidirectional flow configurations, where in the neighborhood of the midplane of the channel reverse flows occur.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"151 6","pages":"1381 - 1401"},"PeriodicalIF":2.7,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140561359","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Rajdeep Paul, Masud Rana, Abhisek Gupta, Tirtharaj Banerjee, Santanu Kumar Karmakar, Amit Roy Chowdhury
{"title":"Design of Biomimetic Porous Scaffolds for Bone Tissue Engineering","authors":"Rajdeep Paul, Masud Rana, Abhisek Gupta, Tirtharaj Banerjee, Santanu Kumar Karmakar, Amit Roy Chowdhury","doi":"10.1007/s11242-024-02082-z","DOIUrl":"10.1007/s11242-024-02082-z","url":null,"abstract":"<div><p>The fluid flow dynamics on the porous scaffolds and their static responses on the adjacent bone are very crucial parameters for bone adaptation. Researchers are trying to develop different algorithms to design biomimetic porous scaffolds incorporating bone tissue engineering. In this present work, three types of biomimetic heterogeneous porous scaffolds (HPS) were designed with the help of the Voronoi tessellation method and Swarm Intelligence and those were analysed under fluid perfusion as well as under static loading conditions. In computational fluid dynamics (CFD) analysis, the wall shear stress (WSS) and the permeability of the porous scaffolds were compared to the natural trabecular bone to understand their hydrodynamic responses. In static analysis, the von Mises stresses of the Ti<sub>6</sub>Al<sub>4</sub>V scaffolds were checked to ensure no-yield condition. The strain energy density (SED) distributions were also studied on the neighbouring bone region of the femur greater trochanter to obtain stress shielding (SS) patterns and these findings were then compared with the natural trabecular bone at the same anatomical region. The outcome parameters, viz. the induced WSS, von Mises stress, the permeability, and SS of the scaffold, are found to be independent of the scaffold architecture. The von Mises stress and permeability increased with an increase in porosities, while the induced WSS and SS nature of the scaffolds showed the reverse trend. The results showed that the HPS designed based on the Swarm Intelligence incorporating Physarum Polycephalum algorithm offered the least SS level of 41.096 for 75% porous HPS, which may be considered the most promising result. Considering all the parameters, the novel designed scaffold based on Swarm Intelligence showed the most trabecular bone mimicking nature compared to the other scaffolds.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"151 6","pages":"1453 - 1473"},"PeriodicalIF":2.7,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140561458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Fernando Bastos Fernandes, E. Gildin, Arthur M. B. Braga, Antônio Cláudio Soares
{"title":"Asymptotic-Poroelastic Model for Reservoir Compaction Damage Management in Fractured Oil Wells with Stress-Dependent Permeability","authors":"Fernando Bastos Fernandes, E. Gildin, Arthur M. B. Braga, Antônio Cláudio Soares","doi":"10.1007/s11242-024-02068-x","DOIUrl":"10.1007/s11242-024-02068-x","url":null,"abstract":"<div><p>The adequate management of the damage caused by effective permeability loss in stress-sensitive reservoirs becomes essential to productivity maintenance. This paper proposes a new unsteady-state poroelastic solution for the nonlinear hydraulic diffusivity equation in Biot’s effective stress-sensitive reservoirs fully penetrated by fractured oil wells. The hydraulic fracture in the proposed mathematical modeling is finite with tip effects and crosses the whole reservoir net pay. The NHDE is expanded in a first-order asymptotic series, and a poroelastic integro-differential solution coupled with a Green’s function (GF) is used to represent the source/sink term. A set of pore pressure and permeability data is used from geomechanical literature and transformed into effective stress through Biot’s equation. The effect of the Biot’s coefficient, overburden stress, oil flow rate, fracture’s tip, and proppant porosity arrangements is simulated. The results show that these parameters are essential to minimize formation damage. The accuracy, ease of implementation, and low computational costs constitute the main advantages of the model addressed in this paper. Hence, it may be a valuable and attractive mathematical tool to identify flow regimes, providing permeability loss control and supporting well–reservoir management. Hence, the proposed modeling becomes a useful and attractive tool for forecasting and monitoring permeability loss, oil flow rate specification, and reservoir history matching.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":"151 6","pages":"1261 - 1293"},"PeriodicalIF":2.7,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140561906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}