Large deformations of the casing string under its own weight in the curvilinear well

Kryzhanivskyi, Ye.I.; Paliichuk, I. I.; Malyk, H.D.

doi:10.29202/nvngu/2018/9

Cited by 3 publications

(6 citation statements)

References 8 publications

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“…The existing reference documents and the literary sources known to us (Liu & Weber, 2012;Kozhevnikov et al, 2015;Kotskulych et al, 2016;Vytvytskyi et al, 2017) provide a number of recommendations for the installation of bow-spring centralizers, depending on the configuration of the well axis. General problems of interaction of columns with the borehole were considered, in particular, in the papers (Aleksandrov, 1982;Vlasiy et al, 2017;Levchuk, 2018;Kryzhanivskyi et al, 2018). Various approaches to the engineering simulation of contact phenomena in rod structures using classical theories of rods are proposed in publications (Mossakowskii et al, 1978;Bedzir et al, 1995;Neto et al, 2014;Shats'kyi et al, 2016;Popadyuk et al, 2016;Jawed et al, 2018).…”

Section: State Of Question and Statement Of Research Problemmentioning

confidence: 99%

Analytical models of contact interaction of casing centralizers with well wall

Shatskyi¹,

Velychkovych²,

Vytvytskyi³

et al. 2019

10.5267/j.esm

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The problem of interaction of rod centralizers of casing with a well wall is considered. The paper aims at studying the ways of fastening of centralizer's ends on the parameters of its rigidity and strength. Knowledge of these characteristics is necessary for the assessment of casing column drift and well completion quality. For simulation of the working links of the centralizers, the classical linear theory of smooth rods, rigid along the axis and elastic on bending is used. Stress-strain state of bow-type rod with six different variants of fastening under conditions of point contact is studied. The analytical relations between the contact force and the mutual approach of the column and the well wall, as well as the expressions for the admissible contact loads, are established. The way of fastening the rod significantly influences these characteristics; in particular, the fact of the presence or absence of freedom of mutual movement of its ends along the pipe is decisive. The engineering formulas, which serve as two-side estimations of the rigidity and strength of the real structures of centering devices, are obtained. A comparative analysis of mechanical properties of centralizers has been conducted.

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Section: State Of Question and Statement Of Research Problemmentioning

confidence: 99%

Analytical models of contact interaction of casing centralizers with well wall

Shatskyi¹,

Velychkovych²,

Vytvytskyi³

et al. 2019

10.5267/j.esm

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“…Kryzhanivskyi, et al [8] applied the long rod theory, which receives large nonlinear deformations under the action of its weight, to describe the elastic mechanics of a casing in a deep curved well. It is proved that the elastic rod deformation under the impact of the longitudinal and transverse forces can be calculated by a heterogeneous second order diff erential equation with variable coeffi cients.…”

mentioning

confidence: 99%

“…A long casing string in the well behaves like an elastic, solid rod [8], which has suffi cient bending stiff ness. It is infl uenced by a vertical weight j, uniformly distributed along the length, which creates variable axial forces in the body of the column.…”

mentioning

confidence: 99%

“…The method to obtaining the main system of diff e rential equations and its fi rst integral. The analysis showed that large elastic deformations of the long rod of the unit-value stiff ness can be considered for the bend, without losing the universality of the solution [8]. At the same time, the bending moment is numerically equal to the curvature of the rod, and the current force factors diff er in size from the estimated ones by the factor EJ (E is the elastic modulus of the material, J is the moment of inertia of the cross-section of the rod).…”

mentioning

confidence: 99%

“…The resulting diff erential fi rst-order equation is linear, inhomogeneous and, in general, with variable coeffi cients. We will study and solve the basic diff erential equation (8).…”

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confidence: 99%

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Forceful interaction of the casing string with the walls of a curvilinear well

Paliichuk¹,

Kovbasiuk²,

Martsynkiv³

et al. 2022

Nauk. visn. nat. hirn. univ.

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Purpose. Developing a method for determining the axial forces and the walls reactions along a casing string, which bend it and make it follow a curved wellbore shape. Methodology. The casing string is represented as a long elastic rod in the curved well. An inhomogeneous system of four differential equations is developed to describe the rods deformations. It was reduced to a first-order differential equation with respect to axial force. Its solution was found by the Bernoulli method. The numerical integration of the differential equation is applied. Findings. The axial force distribution along the casing string was found, taking into account the well curvature and the friction, as well as the reaction forces of the well walls. A method of the tables numerical integration of the wells inclinometric measurements has been developed. The calculating formulas for the reaction forces, axial forces, bending moments and stresses acting in the casing pipes in the well deep are obtained. Originality. The solved problem takes into account the walls reaction and the friction forces that create longitudinal bend during the columns movement. The system of differential equations of equilibrium was supplemented by Eulers kinematic equation. The function of zenith angle, which is known due to the table of the directional survey data, was taken as the integration variable. The inverse problem is solved all unknown internal forces, also such the external distributed reaction, which causes the column to repeat the wells shape, was been determined by the angular deformations of casing string, which are given by the wells shape in the inclinometric table. Practical value. The developed method allows detecting the areas with a significant local increase in the wells curvature, which indicate their obstructed passability. This allows for accurate determination of depth intervals to increase the borehole diameter, which is necessary before lowering the column. According to the analysis results, it is possible to determine the parameters of the stress-strain state of the casing string, which can be used to predict its working capacity and operating life.

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Modelling and improvement of the design of hinged centralizer for casing

Shatskyi¹,

Vytvytskyi

Senyushkovych

et al. 2019

IOP Conf. Ser.: Mater. Sci. Eng.

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We have researched an important problem for the oil-and-gas field, which is the problem of centralizing of cases in wellbores with a complex profile. Usually this problem is solved by equipping the case in problematic areas with special centralizing devices. Centralizers have mutually competing requirements: low stiffness in order not to slow down the descent of the case into wellbore and high stiffness in order to provide proper clearance gap for high-quality cementing of the annular space. The aim of the paper is to solve this problem by means of the construction of a hinged-rod centralizer, additionally equipped with a thrust ring. To model the arch-shaped link of the centralizer, the classical theory of the flat rods is used. On the basis of analytical solution of contact problems with unilateral connections, we investigated the stress-strain state of the rod in two cases: before and after the interaction with the axial obstruction. We have determined the non-linear dependencies between the contact force and the mutual approach of the case and the wall of the wellbore, and also the expressions of the acceptable contact loadings that provide structural integrity of the construction.

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Large deformations of the casing string under its own weight in the curvilinear well

Cited by 3 publications

References 8 publications

Analytical models of contact interaction of casing centralizers with well wall

Analytical models of contact interaction of casing centralizers with well wall

Forceful interaction of the casing string with the walls of a curvilinear well

Modelling and improvement of the design of hinged centralizer for casing

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