{"title":"考虑相对流体加速度的孔弹性介质动力学耦合有限元分析","authors":"Jiawei Xu, Ryosuke Uzuoka, Kyohei Ueda","doi":"10.1002/nag.3809","DOIUrl":null,"url":null,"abstract":"<p>This paper mainly discusses the dynamics of poroelastic media using the finite element analysis based on the <b><i>u</i></b>-<b><i>v</i></b>-<i>p</i> full formulation, where <span></span><math>\n <semantics>\n <mi>u</mi>\n <annotation>${{\\bm u}}$</annotation>\n </semantics></math>, <span></span><math>\n <semantics>\n <mi>v</mi>\n <annotation>${{\\bm v}}$</annotation>\n </semantics></math>, and <i>p</i> denote the solid displacement, relative fluid velocity with respect to solid velocity, and pore fluid pressure. It incorporates the effect of relative fluid acceleration with respect to solid acceleration on soil dynamic response. The <span></span><math>\n <semantics>\n <mi>u</mi>\n <annotation>${ {\\bm u}}$</annotation>\n </semantics></math>-<span></span><math>\n <semantics>\n <mi>v</mi>\n <annotation>${ {\\bm v}}$</annotation>\n </semantics></math>-<i>p</i> formulation is first verified through the comparison with the analytical solution. After that, the response of one-dimensional saturated soil column and two-dimensional partially saturated soil layer subjected to vertical loading with different combinations of soil permeability and loading frequency are investigated using the analyses with the <span></span><math>\n <semantics>\n <mi>u</mi>\n <annotation>${ {\\bm u}}$</annotation>\n </semantics></math>-<span></span><math>\n <semantics>\n <mi>v</mi>\n <annotation>${ {\\bm v}}$</annotation>\n </semantics></math>-<i>p</i> and <span></span><math>\n <semantics>\n <mi>u</mi>\n <annotation>${ {\\bm u}}$</annotation>\n </semantics></math>-<i>p</i> formulations, based on which the effect of relative pore fluid motion is discussed and the differences in the soil response between two kinds of analysis approaches are examined. Results reveal that the rapid fluid flow has a pronounced effect on soil dynamics and the soil with a greater degree of saturation is more sensitive to the increase of loading frequency and soil permeability. The soil dynamic response can basically be divided into two main categories that represent insignificant and significant flow motion depending on loading frequency and soil permeability. Furthermore, despite vertical loading, horizontal soil response can also be affected by the large relative pore fluid flow when loading frequency and soil permeability are large. In addition, the simplified formulation can still be applicable to predict dynamics of poroelastic media in cases with high loading frequency and low soil permeability.</p>","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":null,"pages":null},"PeriodicalIF":3.4000,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Coupled finite element analysis of the dynamics of poroelastic media considering the relative fluid acceleration\",\"authors\":\"Jiawei Xu, Ryosuke Uzuoka, Kyohei Ueda\",\"doi\":\"10.1002/nag.3809\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This paper mainly discusses the dynamics of poroelastic media using the finite element analysis based on the <b><i>u</i></b>-<b><i>v</i></b>-<i>p</i> full formulation, where <span></span><math>\\n <semantics>\\n <mi>u</mi>\\n <annotation>${{\\\\bm u}}$</annotation>\\n </semantics></math>, <span></span><math>\\n <semantics>\\n <mi>v</mi>\\n <annotation>${{\\\\bm v}}$</annotation>\\n </semantics></math>, and <i>p</i> denote the solid displacement, relative fluid velocity with respect to solid velocity, and pore fluid pressure. It incorporates the effect of relative fluid acceleration with respect to solid acceleration on soil dynamic response. The <span></span><math>\\n <semantics>\\n <mi>u</mi>\\n <annotation>${ {\\\\bm u}}$</annotation>\\n </semantics></math>-<span></span><math>\\n <semantics>\\n <mi>v</mi>\\n <annotation>${ {\\\\bm v}}$</annotation>\\n </semantics></math>-<i>p</i> formulation is first verified through the comparison with the analytical solution. After that, the response of one-dimensional saturated soil column and two-dimensional partially saturated soil layer subjected to vertical loading with different combinations of soil permeability and loading frequency are investigated using the analyses with the <span></span><math>\\n <semantics>\\n <mi>u</mi>\\n <annotation>${ {\\\\bm u}}$</annotation>\\n </semantics></math>-<span></span><math>\\n <semantics>\\n <mi>v</mi>\\n <annotation>${ {\\\\bm v}}$</annotation>\\n </semantics></math>-<i>p</i> and <span></span><math>\\n <semantics>\\n <mi>u</mi>\\n <annotation>${ {\\\\bm u}}$</annotation>\\n </semantics></math>-<i>p</i> formulations, based on which the effect of relative pore fluid motion is discussed and the differences in the soil response between two kinds of analysis approaches are examined. Results reveal that the rapid fluid flow has a pronounced effect on soil dynamics and the soil with a greater degree of saturation is more sensitive to the increase of loading frequency and soil permeability. The soil dynamic response can basically be divided into two main categories that represent insignificant and significant flow motion depending on loading frequency and soil permeability. Furthermore, despite vertical loading, horizontal soil response can also be affected by the large relative pore fluid flow when loading frequency and soil permeability are large. In addition, the simplified formulation can still be applicable to predict dynamics of poroelastic media in cases with high loading frequency and low soil permeability.</p>\",\"PeriodicalId\":13786,\"journal\":{\"name\":\"International Journal for Numerical and Analytical Methods in Geomechanics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.4000,\"publicationDate\":\"2024-07-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal for Numerical and Analytical Methods in Geomechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/nag.3809\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, GEOLOGICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal for Numerical and Analytical Methods in Geomechanics","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/nag.3809","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, GEOLOGICAL","Score":null,"Total":0}
Coupled finite element analysis of the dynamics of poroelastic media considering the relative fluid acceleration
This paper mainly discusses the dynamics of poroelastic media using the finite element analysis based on the u-v-p full formulation, where , , and p denote the solid displacement, relative fluid velocity with respect to solid velocity, and pore fluid pressure. It incorporates the effect of relative fluid acceleration with respect to solid acceleration on soil dynamic response. The --p formulation is first verified through the comparison with the analytical solution. After that, the response of one-dimensional saturated soil column and two-dimensional partially saturated soil layer subjected to vertical loading with different combinations of soil permeability and loading frequency are investigated using the analyses with the --p and -p formulations, based on which the effect of relative pore fluid motion is discussed and the differences in the soil response between two kinds of analysis approaches are examined. Results reveal that the rapid fluid flow has a pronounced effect on soil dynamics and the soil with a greater degree of saturation is more sensitive to the increase of loading frequency and soil permeability. The soil dynamic response can basically be divided into two main categories that represent insignificant and significant flow motion depending on loading frequency and soil permeability. Furthermore, despite vertical loading, horizontal soil response can also be affected by the large relative pore fluid flow when loading frequency and soil permeability are large. In addition, the simplified formulation can still be applicable to predict dynamics of poroelastic media in cases with high loading frequency and low soil permeability.
期刊介绍:
The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.