“…erefore, it is necessary to utilize the numerical method to program and analyze the solution process in this paper. Currently, there exist many Laplace inverse transform methods, among which the Crump's numerical inversion results of Laplace transform is the most accurate [10].…”
Section: Advances In Civil Engineeringmentioning
confidence: 99%
“…Over the past decades, more and more engineering activities have caused the change in the temperature eld of the surrounding soil layers, which inevitably a ects the physical and mechanical properties of the strata. ese engineering activities involve a broad range of civil engineering topics such as deep geological disposal of radioactive waste [1], deep drilling and excavation [2,3], extraction of geothermal energy [4][5][6], energy piles [7,8], ground improvement using prefabricated vertical thermal drain [9][10][11], oil and gas pipelines [12], and frictional heating-induced large-scale landslides [13]. is huge engineering demand has stimulated scholars to pay their attention on the thermo-hydromechanical coupling theory of porous media, especially the deformation properties of marine clay under a heat source [14].…”
The deformation property of marine clay under a heat source has received considerable attention in the geotechnical literature. In this paper, a three-parameter fractional order derivative model is introduced into the thermo-hydro-mechanical coupling governing equations with thermal filtration and thermo-osmosis to simulate viscoelastic characteristics of marine clay. The excess pore pressure, temperature increment, and displacement of marine clay are derived by using the Laplace transform method, and the semianalytical solution for the one-dimensional thermal consolidation in the time domain is derived by using a numerical inversion of the inverse Laplace transform. The influence of the order of the fractional derivative, material parameters, and phenomenological coefficient on thermal consolidation is investigated based on the present solutions. It is shown that the influence of the fractional derivative parameter on the excess pore pressure and displacement of marine clay depends on the properties of soil mass, and the temperature increment has an obvious effect on the thermal filtration and thermo-osmosis process.
“…erefore, it is necessary to utilize the numerical method to program and analyze the solution process in this paper. Currently, there exist many Laplace inverse transform methods, among which the Crump's numerical inversion results of Laplace transform is the most accurate [10].…”
Section: Advances In Civil Engineeringmentioning
confidence: 99%
“…Over the past decades, more and more engineering activities have caused the change in the temperature eld of the surrounding soil layers, which inevitably a ects the physical and mechanical properties of the strata. ese engineering activities involve a broad range of civil engineering topics such as deep geological disposal of radioactive waste [1], deep drilling and excavation [2,3], extraction of geothermal energy [4][5][6], energy piles [7,8], ground improvement using prefabricated vertical thermal drain [9][10][11], oil and gas pipelines [12], and frictional heating-induced large-scale landslides [13]. is huge engineering demand has stimulated scholars to pay their attention on the thermo-hydromechanical coupling theory of porous media, especially the deformation properties of marine clay under a heat source [14].…”
The deformation property of marine clay under a heat source has received considerable attention in the geotechnical literature. In this paper, a three-parameter fractional order derivative model is introduced into the thermo-hydro-mechanical coupling governing equations with thermal filtration and thermo-osmosis to simulate viscoelastic characteristics of marine clay. The excess pore pressure, temperature increment, and displacement of marine clay are derived by using the Laplace transform method, and the semianalytical solution for the one-dimensional thermal consolidation in the time domain is derived by using a numerical inversion of the inverse Laplace transform. The influence of the order of the fractional derivative, material parameters, and phenomenological coefficient on thermal consolidation is investigated based on the present solutions. It is shown that the influence of the fractional derivative parameter on the excess pore pressure and displacement of marine clay depends on the properties of soil mass, and the temperature increment has an obvious effect on the thermal filtration and thermo-osmosis process.
“…There are numerous soft clayey soils deposited by lakes or rivers in some inland areas of China, and the predominant consolidation methods of these soils include surcharge preloading, 1 vacuum preloading 2,3 and electro‐osmotic 4 . Due to the low permeability and low shear strength of these soils, 5,6 surcharge preloading is ineffective, takes a long time to dewater, and may cause shear damage to the soil 7 .…”
The axisymmetric, equal‐strain consolidation theory of soil is widely employed in engineering due to the user‐friendliness of its solution. However, the radially averaged excess pore pressure (EPP) is unable to reveal the coupling effect of the radial electric field when the soil is consolidated by electro‐osmotic and surcharge preloading. In this paper, the axisymmetric consolidation analytical models with free strain and equal strain assumptions are developed to investigate the importance of the free strain assumption in the consolidation of unsaturated soil by electro‐osmosis‐aided preloading. The finite Hankel transform, decoupling technique, and Laplace transform are then utilised to derive the semi‐analytical solutions. Finally, the comparison of EPP, surface settlement, and average degree of consolidation under the two assumptions reveals that the free‐strain solution accurately shows the distribution of EPP at any point in the soils and the development of surface settlement at different radii, thus helping to analyse the electro‐osmotic consolidation characteristics. Moreover, it was discovered that electro‐osmosis combined with preloading allows for a more uniform consolidation of unsaturated soil. The difference in the average degree of consolidation under both assumptions is insignificant, while the installation distance of the cathode and anode vertical wells has a significant effect.
“…The variance of temperature field has a great influence on the surrounding rock and soil medium, which is reflected by the change of its physical and mechanical properties. [1][2][3][4] With more engineering problems being reported, such as geothermal energy extraction and storage, 5,6 radioactive waste disposal, 7 deep drilling and excavation, 8 energy piles, [9][10][11][12] ground improvement using prefabricated vertical thermal drains, [13][14][15] research on the thermo-hydro-mechanical (THM) coupling process has received increasing attention. Among them, thermal consolidation of saturated media is one of the most widely researched and yet not fully understood aspects in the field of geotechnical engineering.…”
Section: Introductionmentioning
confidence: 99%
“…It is also found that the maximum excess pore water pressures obtained by the perfect contact model for different thermo-osmotic coeffecients are at the interface, but those obtained by the other three models are in the first layer. FromFigures 12,14,16, and 18, it can…”
In this paper, a general interfacial thermal contact model is proposed to investigate the heat conduction characteristics at the interface of bilayered saturated soils. The semianalytical solutions of thermal consolidation of the bilayered saturated soils considering thermo-osmosis effect under ramp-type heating are derived by using the Laplace transform. Then, the expressions of the temperature increment, excess pore water pressure, and displacement are obtained in time domain by using the Crump's method. Comparisons are performed to verify the rationality of the obtained solutions, and the influences of contact transfer coefficient, partition coefficient, and the thermo-osmosis coefficient on the thermal consolidation of the bilayered saturated soil are illustrated and discussed. Neglecting the thermal contact resistance would overestimate the thermal consolidation behavior of the bilayered saturated soils. The calculated excess pore water pressure and displacement considering thermo-osmosis effect are much larger than those without thermo-osmosis effect.
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