2026-05-03T10:22:47Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/74982025-09-24T11:18:24Zcom_10259_7396com_10259.4_2505com_10259.4_106com_10259_2604col_10259_7397

An adjusted analytical solution for thermal design in artificial ground freezing Sancho Calderón, Diego Ortiz Palacio, Santiago Ibáñez García, Sergio Bock, Sven Groundwater control Artificial ground freezing Thermal desing Stefan problem Analytical solution Phase change Construcción Ingeniería civil Building Civil engineering Artificial ground freezing is a widely used, reliable method for excavation in water-bearing ground. The questions posed in the thermal design of ground freezing projects require solving moving boundary (Stefan) problems. Approximate analytical solutions, such as the ones by St¨ ander1 and Sanger and Sayles,2 have been developed for thermal engineering design and are used by practitioners across the industry. For instance, Sanger & Sayles’ solution is widely used for the single-freeze-pipe problem, but it has proven to be of limited accuracy.3 In the present paper, an adjustment to this formula is proposed based on the re-evaluation of their empirical assumption that the ratio between the temperature penetration depth and the phase-change radius equals a constant value of 3 regardless the conditions. A sensitivity study is performed using a verified numerical model as a benchmark to study several problems with different initial and boundary conditions (initial, phase change and freeze pipe temperatures) and thermal properties of the ground (water content, thermal conductivity and heat capacity). This is done for the freezing times of 10 and 365 days, in order to consider the potential change of the ratio with the freezing time. In this way, a calibrated formula is proposed to find appropriate values of this ratio and a suitable adjustment to Sanger & Sayles’ solution is determined. Adjusting Sanger & Sayles’ solution in this manner, a significantly higher and more consistent accuracy is achieved for different boundary and initial conditions. This accuracy improvement was checked for real conditions from an engineering project, which shows that the adjustment can be useful for thermal problems in engineering design of ground freezing. 2023-03-07T07:42:31Z 2023-03-07T07:42:31Z 2023-04 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 1365-1609 http://hdl.handle.net/10259/7498 10.1016/j.ijrmms.2022.105310 eng International Journal of Rock Mechanics and Mining Sciences. 2023, V. 164, 105310 https://doi.org/10.1016/j.ijrmms.2022.105310 Atribución 4.0 Internacional http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess application/pdf Elsevier