One-Dimensional Consolidation Modeling of Soil Surrounding Buried Geothermal Pipelines: Incorporating Heat Diffusion Processes

IF 2.7 3区工程技术 Q3 ENGINEERING, CHEMICAL

Transport in Porous Media Pub Date : 2024-07-11 DOI:10.1007/s11242-024-02108-6

Lulu Zhang, Yunpeng Zhang, Yi Tian, Zongqin Wang, Guosheng Jiang, Minjie Wen, M. Hesham El Naggar, Wenbing Wu

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Abstract

Thermal consolidation of soil is a significant concern in buried geothermal pipeline engineering. Soil consolidation begins immediately upon pipeline completion, while a stable temperature field does not instantly form after soil backfilling. Therefore, considering the heat diffusion process post-pipeline installation is crucial for accurately predicting consolidation completion time. This study proposes a novel mathematical model integrating the heat diffusion process and continuous drainage boundary conditions. Based on the newly proposed model, the early-stage consolidation during the heat diffusion process can be accurately accounted so that the accelerated consolidation caused by the thermal effect would not be overestimated. In order to facilitate the application of the proposed model, a semi-analytical solution is derived by utilizing the integral transform method, variable separation method, and the inverse Fourier transform, the correctness of which has been validated through comparisons with the existing simplified studies. Additionally, a parametric study investigating the potential influencing parameters on thermal consolidation is conducted.

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埋设地热管道周围土壤的一维固结模型：纳入热扩散过程

土壤热固结是地热管道埋设工程中的一个重要问题。管道完工后土壤会立即开始固结，而土壤回填后不会立即形成稳定的温度场。因此，考虑管道安装后的热扩散过程对于准确预测固结完成时间至关重要。本研究提出了一种整合热扩散过程和连续排水边界条件的新型数学模型。基于新提出的模型，热扩散过程中的早期固结可以得到准确的计算，从而避免高估热效应引起的加速固结。为了便于应用所提出的模型，利用积分变换法、变量分离法和反傅里叶变换法得出了半解析解，并通过与现有简化研究的比较验证了其正确性。此外，还对热固结的潜在影响参数进行了参数研究。

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来源期刊

Transport in Porous Media 工程技术-工程：化工

CiteScore

5.30

自引率

7.40%

发文量

155

审稿时长

4.2 months

期刊介绍： -Publishes original research on physical, chemical, and biological aspects of transport in porous media- Papers on porous media research may originate in various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering)- Emphasizes theory, (numerical) modelling, laboratory work, and non-routine applications- Publishes work of a fundamental nature, of interest to a wide readership, that provides novel insight into porous media processes- Expanded in 2007 from 12 to 15 issues per year. Transport in Porous Media publishes original research on physical and chemical aspects of transport phenomena in rigid and deformable porous media. These phenomena, occurring in single and multiphase flow in porous domains, can be governed by extensive quantities such as mass of a fluid phase, mass of component of a phase, momentum, or energy. Moreover, porous medium deformations can be induced by the transport phenomena, by chemical and electro-chemical activities such as swelling, or by external loading through forces and displacements. These porous media phenomena may be studied by researchers from various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering).