Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account
With the increasing construction of engineering structures on soft soils, accurately assessing their consolidation behavior has become crucial. To address this, Terzaghi’s one-dimensional consolidation model was revisited. The elastic behavior of soil skeleton was modified by incorporating viscous e...
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MDPI AG
2025-04-01
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| Series: | Fractal and Fractional |
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| author | Tao Feng Yongtang Yu Tao Zeng |
| author_facet | Tao Feng Yongtang Yu Tao Zeng |
| author_sort | Tao Feng |
| collection | DOAJ |
| description | With the increasing construction of engineering structures on soft soils, accurately assessing their consolidation behavior has become crucial. To address this, Terzaghi’s one-dimensional consolidation model was revisited. The elastic behavior of soil skeleton was modified by incorporating viscous effects using the fractional derivative Merchant model (FDMM), while the linear Darcy’s law governing flux–pressure relations was extended by introducing time memory formalism through the fractional derivative Darcy model (FDDM). The governing equation is derived by incorporating the resulting constitutive behavior of both the soil skeleton and water flow into the Terzaghi’s formulation of the poroelasticity problem. The proposed rheological consolidation model is solved by a forward time-centered space scheme (FTCS). After verifying the numerical procedure with published data, the influence of parameters on both the average degree of settlement and the pressure was comprehensively studied. |
| format | Article |
| id | doaj-art-ec52f596b9ee4d1ba5a79fa73e0aaeed |
| institution | DOAJ |
| issn | 2504-3110 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj-art-ec52f596b9ee4d1ba5a79fa73e0aaeed2025-08-20T03:13:54ZengMDPI AGFractal and Fractional2504-31102025-04-019423310.3390/fractalfract9040233Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into AccountTao Feng0Yongtang Yu1Tao Zeng2School of Civil Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, ChinaChina United Northwest Institute for Engineering Design & Research Co., Ltd., Xi’an 710077, ChinaSchool of Civil Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, ChinaWith the increasing construction of engineering structures on soft soils, accurately assessing their consolidation behavior has become crucial. To address this, Terzaghi’s one-dimensional consolidation model was revisited. The elastic behavior of soil skeleton was modified by incorporating viscous effects using the fractional derivative Merchant model (FDMM), while the linear Darcy’s law governing flux–pressure relations was extended by introducing time memory formalism through the fractional derivative Darcy model (FDDM). The governing equation is derived by incorporating the resulting constitutive behavior of both the soil skeleton and water flow into the Terzaghi’s formulation of the poroelasticity problem. The proposed rheological consolidation model is solved by a forward time-centered space scheme (FTCS). After verifying the numerical procedure with published data, the influence of parameters on both the average degree of settlement and the pressure was comprehensively studied.https://www.mdpi.com/2504-3110/9/4/233fractional derivative merchant modelfractional derivative Darcy modelrheologicalconsolidation |
| spellingShingle | Tao Feng Yongtang Yu Tao Zeng Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account Fractal and Fractional fractional derivative merchant model fractional derivative Darcy model rheological consolidation |
| title | Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account |
| title_full | Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account |
| title_fullStr | Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account |
| title_full_unstemmed | Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account |
| title_short | Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account |
| title_sort | revisiting the consolidation model by taking the rheological characteristic and abnormal diffusion process into account |
| topic | fractional derivative merchant model fractional derivative Darcy model rheological consolidation |
| url | https://www.mdpi.com/2504-3110/9/4/233 |
| work_keys_str_mv | AT taofeng revisitingtheconsolidationmodelbytakingtherheologicalcharacteristicandabnormaldiffusionprocessintoaccount AT yongtangyu revisitingtheconsolidationmodelbytakingtherheologicalcharacteristicandabnormaldiffusionprocessintoaccount AT taozeng revisitingtheconsolidationmodelbytakingtherheologicalcharacteristicandabnormaldiffusionprocessintoaccount |