<p>This study investigated the undrained vertical bearing behaviour of circular skirted mudmat foundations resting on anisotropic marine clays using finite element limit analysis (<i>FELA</i>) incorporating Anisotropic Undrained Shear failure criterion. The effects of mudline undrained shear strength <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\:{s}_{u0}\)</EquationSource> </InlineEquation>, strength gradient <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\:k\)</EquationSource> </InlineEquation>, undrained strength anisotropy ratio <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\:{r}_{e}\)</EquationSource> </InlineEquation>, and skirt depth ratio <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\:d/D\)</EquationSource> </InlineEquation> on the ultimate bearing pressure and normalized bearing capacity factor <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\:{N}_{su}\)</EquationSource> </InlineEquation> are systematically examined. The results reveal strong nonlinear interactions between skirt embedment, strength non-homogeneity, and anisotropy. <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\:{N}_{su}\)</EquationSource> </InlineEquation> increased significantly with increasing <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\:d/D\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\:k\)</EquationSource> </InlineEquation>, especially under low <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(\:{s}_{u0}\)</EquationSource> </InlineEquation>, while higher <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(\:{r}_{e}\)</EquationSource> </InlineEquation> enhanced vertical resistance. The numerical database was used to train supervised regression models, including linear regression, support vector regression, regression trees, wide neural networks, and Gaussian process regression (GPR). Model performance was assessed using RMSE, MAE, MAPE, and <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(\:{R}^{2}\)</EquationSource> </InlineEquation>. Among these, GPR and wide neural network achieved the highest predictive accuracy, reproducing the strongly nonlinear <i>FELA</i> trends with <InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(\:{R}^{2}\)</EquationSource> </InlineEquation> values approaching 0.99. Quadratic response surface models were also developed for discrete values of <InlineEquation ID="IEq13"> <EquationSource Format="TEX">\(\:{s}_{u0}\)</EquationSource> </InlineEquation>, providing closed-form expressions for <InlineEquation ID="IEq14"> <EquationSource Format="TEX">\(\:{N}_{su}\)</EquationSource> </InlineEquation>. The integrated <i>FELA</i>, machine learning, and response surface framework provided accurate predictive capability and practical formulations for assessing the vertical bearing capacity of skirted mudmat foundations within the investigated parameter range.</p>

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Finite Element Limit Analysis and Machine Learning Framework for Circular Skirted Mudmat Foundations in Anisotropic Marine Clays

  • Nirav Thakkar,
  • Tejaskumar Thaker,
  • Vinay Bhushan Chauhan

摘要

This study investigated the undrained vertical bearing behaviour of circular skirted mudmat foundations resting on anisotropic marine clays using finite element limit analysis (FELA) incorporating Anisotropic Undrained Shear failure criterion. The effects of mudline undrained shear strength \(\:{s}_{u0}\) , strength gradient \(\:k\) , undrained strength anisotropy ratio \(\:{r}_{e}\) , and skirt depth ratio \(\:d/D\) on the ultimate bearing pressure and normalized bearing capacity factor \(\:{N}_{su}\) are systematically examined. The results reveal strong nonlinear interactions between skirt embedment, strength non-homogeneity, and anisotropy. \(\:{N}_{su}\) increased significantly with increasing \(\:d/D\) and \(\:k\) , especially under low \(\:{s}_{u0}\) , while higher \(\:{r}_{e}\) enhanced vertical resistance. The numerical database was used to train supervised regression models, including linear regression, support vector regression, regression trees, wide neural networks, and Gaussian process regression (GPR). Model performance was assessed using RMSE, MAE, MAPE, and \(\:{R}^{2}\) . Among these, GPR and wide neural network achieved the highest predictive accuracy, reproducing the strongly nonlinear FELA trends with \(\:{R}^{2}\) values approaching 0.99. Quadratic response surface models were also developed for discrete values of \(\:{s}_{u0}\) , providing closed-form expressions for \(\:{N}_{su}\) . The integrated FELA, machine learning, and response surface framework provided accurate predictive capability and practical formulations for assessing the vertical bearing capacity of skirted mudmat foundations within the investigated parameter range.