Pub Date : 2023-10-27DOI: 10.1007/s13137-023-00240-x
Lazaro J. Perez, George Bebis, Sean A. McKenna, Rishi Parashar
{"title":"Solute transport prediction in heterogeneous porous media using random walks and machine learning","authors":"Lazaro J. Perez, George Bebis, Sean A. McKenna, Rishi Parashar","doi":"10.1007/s13137-023-00240-x","DOIUrl":"https://doi.org/10.1007/s13137-023-00240-x","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136311463","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-26DOI: 10.1007/s13137-023-00238-5
Anu Chohla, Sunita Rani
{"title":"Antiplane deformation of an orthotropic layer due to surface loads","authors":"Anu Chohla, Sunita Rani","doi":"10.1007/s13137-023-00238-5","DOIUrl":"https://doi.org/10.1007/s13137-023-00238-5","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134960165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-13DOI: 10.1007/s13137-023-00232-x
Jorge Villamizar, Larry Mendoza, Giovanni Calderón, Otilio Rojas, Jose E. Castillo
{"title":"High order mimetic differences applied to the convection–diffusion equation: a matrix stability analysis","authors":"Jorge Villamizar, Larry Mendoza, Giovanni Calderón, Otilio Rojas, Jose E. Castillo","doi":"10.1007/s13137-023-00232-x","DOIUrl":"https://doi.org/10.1007/s13137-023-00232-x","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135733782","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-13DOI: 10.1007/s13137-023-00237-6
Pablo Pavón-Domínguez, Marina Díaz-Jiménez
Abstract Fractal and multifractal analysis of porous images allow the description of porous media through a scale-invariant understanding. There have been numerous works that have used these analysis techniques for the description of a great variety of real porous media. However, these studies are usually comparative, being difficult to discern the role played by the pore size and pore distribution in the results of fractal and multifractal analysis. This works develops an in-depth study of different synthetic porous media from a fractal and multifractal approach, in which both the pore size and its distribution in the medium are parameterized. Thus, a set of synthetic binary images have been generated obtaining deterministic and random structures with different fixed pore sizes and also with different rates of pore sizes. Lacunarity is also calculated in order to complete the aforementioned analysis. Results evinces that fractal dimension increases with pore size and that it is higher when the pore distribution obeys a random distribution versus a deterministic one. However, when the pore size is very large, fractal dimension is similar regardless of the pore distribution. From a multifractal approach, pore size is negatively correlated with the degree of multifractality. In fact, in images with mixtures of different pore sizes it is also found that the greater the ratio of small pores, the greater degree of multifractality. By contrast, when the ratio of large pores is relevant, the degree of multifractality also increases due to the merging of macro-pores.
{"title":"Characterization of synthetic porous media images by using fractal and multifractal analysis","authors":"Pablo Pavón-Domínguez, Marina Díaz-Jiménez","doi":"10.1007/s13137-023-00237-6","DOIUrl":"https://doi.org/10.1007/s13137-023-00237-6","url":null,"abstract":"Abstract Fractal and multifractal analysis of porous images allow the description of porous media through a scale-invariant understanding. There have been numerous works that have used these analysis techniques for the description of a great variety of real porous media. However, these studies are usually comparative, being difficult to discern the role played by the pore size and pore distribution in the results of fractal and multifractal analysis. This works develops an in-depth study of different synthetic porous media from a fractal and multifractal approach, in which both the pore size and its distribution in the medium are parameterized. Thus, a set of synthetic binary images have been generated obtaining deterministic and random structures with different fixed pore sizes and also with different rates of pore sizes. Lacunarity is also calculated in order to complete the aforementioned analysis. Results evinces that fractal dimension increases with pore size and that it is higher when the pore distribution obeys a random distribution versus a deterministic one. However, when the pore size is very large, fractal dimension is similar regardless of the pore distribution. From a multifractal approach, pore size is negatively correlated with the degree of multifractality. In fact, in images with mixtures of different pore sizes it is also found that the greater the ratio of small pores, the greater degree of multifractality. By contrast, when the ratio of large pores is relevant, the degree of multifractality also increases due to the merging of macro-pores.","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"91 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135734508","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-23DOI: 10.1007/s13137-023-00234-9
Andor Németh, Á. Török
{"title":"Statistical analysis of heat-induced rock physics and mineralogical alteration processes of monzogranite samples from Bátaapáti, Hungary","authors":"Andor Németh, Á. Török","doi":"10.1007/s13137-023-00234-9","DOIUrl":"https://doi.org/10.1007/s13137-023-00234-9","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47118067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-09DOI: 10.1007/s13137-023-00233-w
Smita, R. Dwivedi, Prashant K. Jha
{"title":"A study on the reflection of quasi Rayleigh waves in a magneto self reinforced thermoelastic medium with fractional order derivative","authors":"Smita, R. Dwivedi, Prashant K. Jha","doi":"10.1007/s13137-023-00233-w","DOIUrl":"https://doi.org/10.1007/s13137-023-00233-w","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45406913","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-20DOI: 10.1007/s13137-023-00229-6
O. Szomolányi, A. Clement
{"title":"Use of random forest for assessing the effect of water quality parameters on the biological status of surface waters","authors":"O. Szomolányi, A. Clement","doi":"10.1007/s13137-023-00229-6","DOIUrl":"https://doi.org/10.1007/s13137-023-00229-6","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"145 ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41276287","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-19DOI: 10.1007/s13137-023-00230-z
Anand Srinivasan, M. Dumett, Christopher Paolini, Guillermo F. Miranda, Jose E. Castillo
{"title":"Mimetic finite difference operators and higher order quadratures","authors":"Anand Srinivasan, M. Dumett, Christopher Paolini, Guillermo F. Miranda, Jose E. Castillo","doi":"10.1007/s13137-023-00230-z","DOIUrl":"https://doi.org/10.1007/s13137-023-00230-z","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44150453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-13DOI: 10.1007/s13137-023-00228-7
Markus Musch, Andreas Rupp, V. Aizinger, P. Knabner
{"title":"Hybridizable discontinuous Galerkin method with mixed-order spaces for non-linear diffusion equations with internal jumps","authors":"Markus Musch, Andreas Rupp, V. Aizinger, P. Knabner","doi":"10.1007/s13137-023-00228-7","DOIUrl":"https://doi.org/10.1007/s13137-023-00228-7","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46160754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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