
Orlov Vladimir Alexandrovich 
Moscow State University of Civil Engineering (MSUCE)
Doctor of Technical Sciences, Professor, Head of Department of Water Supply
8 (499) 1833629, Moscow State University of Civil Engineering (MSUCE), 26 Jaroslavskoe shosse, Moscow, 129337, Russia;
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Primin Oleg Grigor'evich 
OAO MosvodokanalNIIproekt (Open Joint Stock Company Moscow Research Institute of Water Supply Networks Design)
Doctor of Technical Sciences, Professor, Assistant to the General Director in charge of scientific research
8 (499) 2615384, OAO MosvodokanalNIIproekt (Open Joint Stock Company Moscow Research Institute of Water Supply Networks Design), Office 8, 22 Pleteshkovskij pereulok, Moscow, 105005, Russia;
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Scherbakov Vladimir Ivanovich 
Voronezh State University of Architecture and Civil Engineering (VGASU)
Doctor of Technical Sciences, Professor, Department of Hydraulics, Water Supply and Water Removal
8 (473) 2715268, Voronezh State University of Architecture and Civil Engineering (VGASU), 84 20letija Oktjabrja st., Voronezh, 394006, Russia;
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Results of the research aimed at the development of the basic criteria and principal methodological approaches to the calculation and design that underlies any repair undertaking associated with the restructuring of engineering networks through the application of a polymeric sleeve. It is noteworthy that the pipeline material and the degree of its deprecation, identified on the basis of the residual pipe thickness, the length and the diameter of each pipeline section being repaired, the media pumped into the pipeline, the adjacent ground and subterranean infrastructure, the presence of any subterranean waters and other factors are to be considered in each specific case.
A software programme designated for the calculation of the durability of doublelayer structures of pipelines connected to polymeric sleeves has been developed. The software makes it possible to consider a wide range of properties of a polymeric sleeve to identify its behavior driven by any alterations in the input information, and to select the most economical and technologically efficient option within the limits imposed by the durabilityrelated requirements preset in the design.
The ultimate objective of the software programme is to assess the applicability of the trenchless repair method involving a polymeric sleeve in each specific case by taking account of the environment and the condition of the pipeline. The software is also capable of developing the requirements to be fulfilled by subcontractors in order to assure the appropriate quality of any repair work performed and the reliability of any pipeline sections repaired.
DOI: 10.22227/19970935.2012.2.15  19
References
 Hramenkov S.V., Orlov V.A., Har'kin V.A. Optimizacija vosstanovlenija vodootvodjaschih setej [Optimization of Repairs of Water Ppelines]. Moscow, Strojizdat, 2002, 159 p.
 Orlov V.A., Har'kin V.A. Strategija i metody vosstanovlenija podzemnyh truboprovodov [Strategy and Methods of Restoration of Subterranean Pipelines]. Moscow, Strojizdat, 2001, 95 p.

Lenev Vladimir Stepanovitch 
Moscow State University of Civil Engineering (MGSU)
Candidate of Physical and Math ematical Sciences, Associate Professor, Department of Higher Mathematics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation;
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The article presents a convincing system of mathematical reasoning allowing us to pass over the stages of recurrent formulas as well as the induction methods in the pro cess of developing analytic formulas using computer programs. The article elaborates the ideas on how to make the computer derive analytic formulas. The author offers us a generalization consisting in using the method of summing up to the more wide range of series, as well as finding approximate specific solutions to some differential equations and summarizations, which can occur, for example, in finite element method. The suggested method of summing the degrees with the coefficient is generalized to:a) The total formulas for the powers degrees of real numbers which are not the rational numbers. This will lead to approximate results.b) The representation of sums is connected to the solutions of certain differential equations (Cauchy problem), where we can obtain the partial equations in the form of power series with rational coefficients.
DOI: 10.22227/19970935.2014.1.181186
References
 Vladimir Lenev. One of the Methods of How to Make the Computer Derive Analytic Formulas. 14th International Conference on Computing in Civil and Building Engineering. Moscow, June 27—28, 2012, pp. 168—170.
 Lenev V.S. Vyvod formul, vyrazhayushchikh tochno summu nekotorykh konechnykh ryadov s pomoshch'yu EVM [The Development of the Formulas Precisely Expressing Some Finite Series Sums with the help of ECM]. Voprosy prikladnoy matematiki i vychislitel'noy mekhaniki: sbornik nauchnykh trudov [The Collection of Scientific Works: Issues of Applied Mathematics and Computational Mechanics]. Moscow, MGSU Publ., 2000, no. 3, pp. 105—108.
 Lenev V.S. Metod polucheniya s pomoshch'yu EVM klassicheskikh formul dlya ischisleniya konechnykh summ nekotorykh chislovykh ryadov s ispol'zovaniem programmy resheniya v ratsional'nykh chislakh sistemy lineynykh uravneniy razmernosti nxn [ComputerAided Method for Obtaining Classical Formulas for Numerical Series Sums Using Programs in Rational Numbers in Linear Equation System with the Dimension nxn]. Fundamental'nye nauki v sovremennom stroitel'stve: sbornik dokladov 3ya nauchnoprakticheskaya konferentsiya [The Collection of Papers (3rd Scientific Conference): Fundamental Sciences in Presentday Construction]. Moscow, 2004, pp. 3—9.
 Brown W.S., Hearn A.C. Applications of Symbolic Algebraic Computation. Computer Physic Communications. 1979, vol. 17, no. 1—2, pp. 207—215.
 Kheming R.V. Chislovye metody [Numerical Methods]. Moscow, Nauka Publ., 1970.
 Akimov P.A., Zolotov A.B., Shirinskiy V.I. Metody tochnogo analiticheskogo resheniya mnogotochechnykh kraevykh zadach stroitel'noy mekhaniki [Methods of Accurate Analytical Solution of Multipoint Boundary Value Problems in Structural Mechanics]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2006, no. 3, pp. 29—39.
 Akimov P.A., Mozgaleva M.L. Korrektnye algoritmy mnogourovnevoy approksimatsii s ispol'zovaniem diskretnogo bazisa Khaara chast' 2: dvumernyy sluchay [Correct Algorithms of Multilevel Approximation Using Discrete Basis of Haar Part 2: Two Dimensional Case]. International Journal for Computational Civil and Structural Engineering. 2012, vol. 8, no. 2, pp. 40—46.
 Munro N., Tsapekis P. Some Recent Results Using Symbolic Algebra. IEE International Conference on Control 94.1994.
 Cohen J.S. Computer Algebra and Symbolic Computation: Elementary Algorithms. AKPeters, LTD, 2002, 323 p.
 Alefeld G., Rohn J., Rump S.M., Yamamoto T. (Eds). Symbolic Algebraic Methods and Verification Methods. Springer, 2001, 266 p.
 Grandshteyn N.S., Ryzhik I.M. Tablitsa integralov, summ, ryadov i proizvedeniy [Table of Integrals, Sums, Series and Products]. Moscow, Nauka Publ., 1971.

Orlov Vladimir Aleksandrovich 
Moscow State University of Civil Engineering (National Research University) (MGSU)
Doctor of Technical Sciences, Professor, Head of the Department of Water Supply and Waste Water Treatment, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation;
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Zotkin Sergey Petrovich 
Moscow State University of Civil Engineering (MGSU)
Candidate of Technical Sciences, Professor, Department of Informatics and Applied Mathematics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation;
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Orlov Evgeniy Vladimirovich 
Moscow State University of Civil Engineering (MGSU)
Candidate of Technical Scienc es, Associate Professor, Department of Water Supply, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation;
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Khurgin Roman Efimovich 
Moscow State
University of Civil Engineering (MSUCE)
Senior Lecturer, Department of Water Supply, Moscow State
University of Civil Engineering (MSUCE), 26 Yaroslavskoe shosse, Moscow, 129337, Russia;
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Maleeva Anna Vladimirovna 
Moscow State
University of Civil Engineering (MSUCE)
master student, Department of Water Supply, Moscow State
University of Civil Engineering (MSUCE), 26 Yaroslavskoe shosse, Moscow, 129337, Russ;
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The article represents a brief overview of the software programme designated for computeraided calculation of values of the Chezy discharge coefficient. Recommendations are also provided to users of the proposed software. The proposed methodology is designated for the automated processing of the experimental data obtained in the course of the research of free water flows passing through the hydraulic test rig. The methodology is also designated for the identification of the mathematical relation describing the alteration of hydraulic exponents and for the construction of graphs to illustrate the relations describing the free flow inside pipelines, if made of different types of materials that display varied roughness values.
The proposed methodology represents a set of successive stages to be implemented.
Stage 1. Identification of pressure loss, if the pipeline length is equal to h, and the hydraulic friction coefficient is equal to λ.
Stage 2. Calculation of the average flow strength.
Stage 3. Calculation of hydraulic friction coefficient λ.
Stage 4. Calculation of average filling value h/dave in the beginning and in the end of the experimental section of the water flow; calculation of hydraulic radius Rave.
Stage 5. Calculation of С, Chezy discharge coefficient.
The following steps are to be performed to calculate coefficient of roughness n:
Selection of optimal relation С=f(R) from the multiplicity of proposed relations;
Solving the two equations in relation to n.
The proposed software employs the halfinterval method to identify the value of n.
The software is also capable of generating graphs (curves) to describe the relations in question.
The proposed methodology and the software designated for the calculation of Chezy and roughness coefficients makes it possible for users to identify the hydraulic properties of pipelines made of advanced materials or having advanced coatings. The availability of the above information is to optimize the selection of the pipeline repair material on the basis of the assessment of hydraulic compatibility between the sections of the pipeline in operation and those being repaired.
DOI: 10.22227/19970935.2012.3.205  210
References
 Khramenkov S.V., Orlov V.A., Khar’kin V.A. Optimizatsiya vosstanovleniya vodootvodyashchikh setey [Optimization of Repair of Water Disposal Networks]. Moscow, Stroyizdat, 2002, 159 p.
 Orlov V.A., Khar’kin V.A. Strategiya i metody vosstanovleniya podzemnykh truboprovodov [Strategy and Methods of Repair of Underground Pipelines]. Stroyizdat, 2001, 95 p.