Proceedings of the International Conference "Actual Issues of Mechanical Engineering" (AIME 2018) 2018
DOI: 10.2991/aime-18.2018.41
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Peculiarities of problem solving at studying well drilling with the use of linear differential equations with constant coefficients

Abstract: this article introduces a variation of the parameter method for solving homogeneous linear ordinary differential equations of the second order with constant coefficients, which are most often encountered in the oil and gas engineering when studying the drilling, production and pipeline transport of oil and gas. In addition, we derive a general method of solution for solving homogeneous linear ordinary differential equations of the second order with constant coefficients.

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Cited by 8 publications
(4 citation statements)
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“…The range of biogeomechanical processes that affect inorganic elements was analyzed in other studies. In the course of the study and the calculations carried out using linear differential equations [6], it has been found out that the level of metal content near the facilities increased compared with the figure of the 2000s. Higher levels of trace metals in sediments collected near installations.…”
Section: Resultsmentioning
confidence: 98%
“…The range of biogeomechanical processes that affect inorganic elements was analyzed in other studies. In the course of the study and the calculations carried out using linear differential equations [6], it has been found out that the level of metal content near the facilities increased compared with the figure of the 2000s. Higher levels of trace metals in sediments collected near installations.…”
Section: Resultsmentioning
confidence: 98%
“…It is possible to list a range of other narrow-profile problems, for example, description of descent-lifting operations by means of linear differential equations of mathematical physics [4], the solution of which is the responsibility of every student of the course. During the training of highly qualified specialists in oil technical universities of our country, students study a number of special disciplines with a strong focus on them: development and operation of oil and gas fields [5], drilling oil and gas wells, borehole oil production, and operation of oil and gas wells, hydrodynamic investigations of wells (well testing) [6], major repairs of wells (workover), oil recovery enhancement, a complication of oil production, collection and preparation of oil and gas, etc. The degree of development and studying these disciplines by students is evaluated according to a score-rating system, a positive or satisfactory outcome of which significantly has both positive and negative effects on the future career of the student.…”
Section: Resultsmentioning
confidence: 99%
“…The above discussion allowed us to formulate a research hypothesis: the development of students' learning motivation in teaching mathematics and chemistry will be more effective if a system of differentiated tasks is developed and implemented [6]. A task can be considered as a simulated problem situation associated with a person in a cognitive process.…”
Section: Resultsmentioning
confidence: 99%