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Date submitted2018-09-01
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Date accepted2018-10-28
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Date published2019-02-22
Mathematical modeling of rock crushing and multiphase flow of drilling fluid in well drilling
The aim of the work is a mathematical modeling of the rock crushing during drilling and removal of the drilling cuttings (sludge) to the surface by drilling fluid. The process of rock destruction is described using the mathematical theory of fragmentation. The distribution of sludge particles in size and mass depends on such factors as the properties of the drilled rock, the rate of penetration, the type of bit, and the output power. After the formation of sludge, the process of its removal to the surface is modeled. The drilling fluid together with the rock particles is considered as a heterogeneous multiphase medium in which the carrier phase – the drilling fluid – is a non-Newtonian fluid. The flow of such a medium is described using a mixture model in the framework of the multi-fluid approach. This results in a system of nonlinear partial differential equations, for which a new closure relation is derived. To solve the system, the SIMPLE algorithm is used. As a result, the flow properties are studied with the inclusion of particles of various sizes. In particular, for particles of small size due to the action of plastic stresses in a non-Newtonian drilling fluid, an equilibrium mode arises in which the particles move with the drilling fluid without slipping. This is the fastest mode of delivery of sludge to the surface. The specific dimensions of such particles depend on the parameters of the drilling process. In particular, the appropriate size range can be adjusted by changing the parameters of the drilling fluid.
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Date submitted2015-10-21
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Date accepted2015-12-16
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Date published2016-08-22
Flow instability in producing well at flash-steam fields
- Authors:
- A. N. Shulyupin
Theoretical foundations are presented for forecasting operation instability of producing wells at flash-steam fields. The considered topic gains actuality because of the new conditions for developing geothermal power industry which call for solicitous use of the wells fund. Instability mechanism is considered: increased discharge results in the growth of the force generating the flow, which in turn results in still higher discharge. The force grows due to weakening of gravitational component which counteracts the flow in the result of depletion in the density of flash-steam mixture. It is demonstrated that due to the specifics of development of such instability in a geothermal well the reaction of well foot pressure to change in the discharge cannot influence the stability in any effective way, while the reaction of wellhead pressure may work as a stabilizing factor. Principal weaknesses are pointed out of former ideas on flow instability in flash-steam wells. The condition of stable flow should be the positive value of the derivative on discharge of the internal well foot pressure defined as the sum of wellhead and internal pressure drop.
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Date submitted2014-11-04
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Date accepted2015-01-20
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Date published2015-10-26
Stability of productive well operation in a steam hydrothermal field
- Authors:
- A. N. Shulyupin
A condition of well operation stability based on agreement of indicator characteristics of well and aquifer throughput capacity is considered. Two hypotheses of the stability state are examined: with one and two possible combinations of characteristics. It is shown that taking into account resistance between the wellhead and the environment with constant pressure helps explain all the features of wellhead pressure and flow-rate relationship of steam-water wells based on the hypothesis with one combination (when the operating point is located on the ascending branch of a well characteristic). The throttling effect on the wellhead which was used in the development of the Mutnovka steam hydrothermal field in order to stabilize the well operation is explained.
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Date submitted2010-07-16
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Date accepted2010-09-06
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Date published2011-03-21
The aboveground oil pipeline temperature regimes calculation
- Authors:
- S. Yu. Trapeznikov
The theoretical and experimental investigations of the highviscosity oil transportation temperature regimes to improve the pipeline efficiency are caused by the insufficient knowledge of its heat transfer process. The dependencies for the hydraulic resistance coefficient and the dimensionless heat transfer coefficient of Nusselt are proposed.