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Mathematical modeling of the stress-strain state of the annular preventer seal using the theory of reinforced shells

Grydzhuk Jaroslav, Chudyk Ihor, Slabyi Orest, Mosora Yurii, Kovbaniuk Mariana, Krynke Marek

Production Engineering Archives

2022

Vol. 28, Iss. 4

375--380

Management of wells in the process of their construction is one of the important factors in ensuring the safety of the technological process. Blowout equipment, which includes annular preventers, is used to control the wells. This applies to the construction of oil and gas wells, or wells that provide degassing of coal seams to reduce their gas-dynamic activity. For the purpose of safe and long-term operation of annular preventers on the basis of the theory of thick-walled combined reinforced shells and the carried-out analytical research, the mathematical model for research of a stress-strain condition of a seal of an annular preventer has been offered. Taking into consideration the real design, the seal of the annular preventer is modeled by a rubber shell, reinforced in the circular direction by rubber frames, and in the longitudinal direction by metal stringers. The mathematical model provides for determining the stiffness, internal force factors and stresses in the longitudinal and transverse sections of the combined rubber-metal seal, considering the peculiarities of its operation. At the same time, the model includes the conditions of interaction of the rubber base of the seal with a pipe, as well as the action of sealing pressure under operating conditions. The use of the proposed mathematical model reduces the costs of experimental research and will contribute to ensuring the reliability of simulation modeling results. The advantage of the method is the determination of calculated loads at different points of the combined seal under the existing state of dangerous zones and the influence of operating conditions. In the meantime, prerequisites have been created for expanding the possibilities of simulation modeling and designing structural elements of annular preventers with increased operational characteristics. The practical value of the obtained results is determined by the possibility of using them to ensure the performance of the rubber-metal seal both at the stage of its design and during the operation.

Sub-level stoping in an underground limestone quarry: an analysis of the state of stress in an evolutionary scenario

Cardu M., Dipietromaria S., Oreste P.

Archives of Mining Sciences

2016

Vol. 61, no. 1

199--216

The aim of this study was to evaluate the state of stress of a „voids-pillar“ structure excavated by means of the sub-level stoping method in an underground limestone quarry near Bergamo (Italy). Both the current structure of the quarry (i.e. the rooms exploited till now) and a possible future scenario were analysed using the (FDM) FLAC 2D code. The quarry has been in operation since 1927; at present, exploitation is carried out underground via the sub-level stoping method. Exploitation involves two levels, with 5 rooms on the upper level and 9 rooms on the lower level. After analysing data obtained from laboratory and in situ tests carried out on rock samples and natural discontinuities, the geomechanical properties of the medium, knowledge of which is essential in order to establish the parameters that must be included in the numerical model, were evaluated. The implementation of three numerical models made it possible to study both the present conditions of quarry exploitation and the evolution of the exploited rooms, as well as a possible expansion involving a third level of rooms. Using the results obtained regarding the stress-strain present in the pillars, a potential change in room geometry was proposed aimed at reducing the stress state inside the pillars, decreasing plasticity and increasing overall quarry safety.

Celem pracy było zbadanie stanów naprężeń w strukturach składających się z filarów i pustek po wybieraniu wapienia w podziemnym kamieniołomie w pobliżu Bergamo (Włochy), metodą wybierania podpoziomowego. Zarówno obecna struktury kamieniołomu (komory powstałe po dotychczasowym wydobyciu) oraz możliwe scenariusze na przyszłość przeanalizowano przy użyciu kodu (FDM) FLAC 2D. Eksploatacja kamieniołomu trwa od 1972, w chwili obecnej wydobycie odbywa się pod ziemią, metodą wybierania podpoziomowego, na dwóch poziomach wybierania: 5 komór na poziomie wyższym i 9 komór – na niższym. Po analizie danych uzyskanych drogą testów laboratoryjnych oraz badania w terenie próbek skalnych i stref nieciągłości, określono właściwości geomechaniczne ośrodka niezbędne do obliczenia parametrów do modelu numerycznego. Implementacja trzech modeli numerycznych umożliwiła analizę zarówno obecnych warunków eksploatacji kamieniołomu, procesów zachodzących w wyeksploatowanych komorach, jak i projektowanie ewentualnego rozszerzenia wydobycia, w tym powstanie trzeciego poziomu. Wykorzystując otrzymane zależności naprężeń i odkształceń, zaproponowano zmiany w geometrii komór mające na celu obniżenie poziomu naprężeń w filarach, zmniejszenie ich podatności i ogólne podniesienie stanu bezpieczeństwa w kamieniołomie.

Effect of Stress-Strain Conditions on Physical Precursors and Failure Stages Development in Rock Samples

Baddari K., Frolov A. D., Tourtchine V., Rahmoune F., Makdeche S.

Acta Geophysica

2015

Vol. 63, no. 1

62--102

Precursory stages of failure development in large rock samples were studied and simultaneous observations of the space-time variation of several physical fields were carried out under different stress-strain states. The failure process was studied in detail. A hierarchical structure of discreet rock medium was obtained after loading. It was found that the moisture reduced the rock strength, increased the microcrack distribution and influenced the shape of the failure physical precursors. The rise in temperature up to 400 °C affected the physical precursors at the intermediate and final stages of the failure. Significant variations were detected in the acoustic and electromagnetic emissions. The coalescence criterion was slightly depending on the rock moisture and temperature effect. The possibility of identifying the precursory stage of failure at different strain conditions by means of a complex parameter derived from the convolution of physical recorded data is shown. The obtained results point out the efficiency of the laboratory modelling of seismic processes.