Method for solvig inverse Stefan problem to control ice wall state during shaft excavation

Levin, L. Yu.; Юрьевич, Левин Лев; Семин, М. А.; Александрович, Семин Михаил; Parshakov, O. S.; Сергеевич, Паршаков Олег; Kolesov, E.V.; Викторович, Колесов Евгений

doi:10.15593/2224-9923/2017.3.6

Cited by 3 publications

(2 citation statements)

References 9 publications

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“…The aim of ground freezing engineering design is to achieve a safe excavation by controlling the groundwater and stabilising the ground, while at the same time minimizing the costs and the overall schedule of the works (Filippo Mira-Catto, 2018). It needs to be highlighted that a suitable design and monitoring programme is key to the safety of the works and avoidance of accidents, as can be learned from the cases presented in Sopko and Braun (2000), Shawn et al (2016) and Levin et al (2017). In fact, the success of ground freezing projects rests largely on a suitable design (an overview of the design components is given in Figure 2.6), which requires "appropriate modelling and understanding of the ground freezing problem" (Zueter et al, 2021).…”

Section: Design and Monitoring Of Ground Freezing Engineering Projectsmentioning

confidence: 99%

“…However, these problems usually imply an even more complex mathematical framework than usual Stefan problems. Examples are the solution found by Tarzia (2015) for the one-phase fractional Lamé-Clapeyron-Stefan problem, the artificial intelligence algorithms used in Hetmaniok et al (2014) or the iterative approach described in Levin et al (2017), which minimises the errors of the solution by applying the gradient descent method.…”

Section: Inverse Stefan Problemsmentioning

confidence: 99%

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Improved engineering solutions for thermal design of artificial ground freezing

Sancho Calderón

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Artificial ground freezing is a safe, proven and reliable method for various construction projects in water-bearing, unstable soils and rock, from special civil engineering (e.g. for excavations), to tunnel construction and mine shafts. Essential for the design and control of the freezing process are the thermal calculations. Historically, these have been performed by using analytical methods. However, the project-specific geometrical and geological conditions and the construction sequence have a significant influence on the design, which is difficult to consider using analytical and empirical methods only. A partial solution to more complex design challenges is currently the use of numerical models. An important advantage of numerical modelling, among others, is the use of 3D models, which becomes practically necessary in many present challenges of engineering and allows a suitable representation of the geological structure. Numerical models also make possible the proper combined simulation of the excavation sequence, the ground support and the coupling thermo-hydro-geomechanical approach.It must be stated, however, that the results of numerical calculations are known to be meshdependent, which means that for too "coarse" meshes a correct interpretation of the analysed physical phenomena is not possible. Unfortunately, there are also other factors which significantly influence the accuracy of numerical calculations.The research work of Diego Sancho Calderón starts at this point, reviewing the analytical and numerical approaches. He selected different freezing problems, which he investigated and analysed. Based on the performed verification, he was able to define the limitations and applicability of both analytical and numerical methods. In my opinion, the presented results are a step forward in the scientific research of artificial ground freezing. Furthermore, the presented adjustment of the Sanger & Sayles formula and the code of good practice for thermal numerical modelling are of great practical importance for construction projects using the artificial ground freezing technique.It was a great pleasure for me to assist and support Diego in his work and I would like to thank him for the opportunity to be a part of this very important research.

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Section: Design and Monitoring Of Ground Freezing Engineering Projectsmentioning

confidence: 99%

Section: Inverse Stefan Problemsmentioning

confidence: 99%

Improved engineering solutions for thermal design of artificial ground freezing

Sancho Calderón

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Technology of performance of ice wall when sinking shafts at the example of the objects of the Petrikov mining

Vityaz

Golovaty²,

Prushak³

et al. 2019

Vescì Akademìì navuk Belarusì. Seryâ fizika-tehničnyh navuk

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Scientific-technical aspects of technology of use of the ice wall when shaft sinking in water-bearing rocks, using an example of objects under construction of the Petrikov mining and processing plant, are studied. The algorithm of process of freezing of the mountain massif is described. The method is developed of calculation of the main parameters of the ice barrier, based on classical scientific concepts in the field of geotechnology, geomechanics and mountain thermal physics, containing modified formulas of thickness and time of the ice wall formation. The high efficiency of the developed technique is confirmed by the results of the successful use of the obtained numerical values of the parameters of the fence in the implementation of the project of sinking shafts. It is shown the possibility of choosing a method of defrosting frozen rocks, based on the analysis of a real three-dimensional model of the ice barrier. The most important criterion for this choice is the uniformity of the thickness of the ice barrier along the circumference of the vertical cylinder. The conclusion is made about the high scientific and practical competence of Belarusian mine builders – scientists and specialists. The country has developed a reliable system of scientific and technical support for the technology of sinking vertical mine shafts using temporary ice fences. Effective methods of preliminary geological studies, calculation of parameters of ice-rock fences and freezing equipment, selection of technology of work have been created. The necessary material and technical base for fast and high-quality performance of all complex of works on a construction of mine trunks in the special way is created.

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On mathematical models with unknown nonlinear convection coefficients in one-phase heat transform processes

Gol’dman

2019

AIMS Mathematics

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Method for solvig inverse Stefan problem to control ice wall state during shaft excavation

Cited by 3 publications

References 9 publications

Improved engineering solutions for thermal design of artificial ground freezing

Improved engineering solutions for thermal design of artificial ground freezing

Technology of performance of ice wall when sinking shafts at the example of the objects of the Petrikov mining

On mathematical models with unknown nonlinear convection coefficients in one-phase heat transform processes

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