Applied Hydroaeromechanics in Oil and Gas Drilling - download pdf or read online

By Eugeniy G. Leonov

ISBN-10: 0470487569

ISBN-13: 9780470487563

Hydromechanical tactics underlie the vast majority of expertise operations in drilling, and current an important drawback because the velocity and intensity of drilling raises in today’s energy-hungry international. utilized Hydroaeromechanics in Oil and gasoline Drilling bargains a different source for correctly modeling and figuring out the hydrodynamic forces affecting a drilling website. Combining hydrodynamic thought with particular drilling purposes, this assurance offers readers with a accomplished reference for designing, making plans, and optimizing drilling operations.

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Example text

6) in a channel between coaxial cylinders under action of one of them, for example, of the outer one. In this case, tangential stresses arising at the outer surface of any rotating cylindrical layer act in the direction of rotation, that is, along w-axis. 7) for rotational flow reduces to   @ww ww À : trw ¼ m @r r ð4:4:10Þ Consider now radial flow between circular plates (in a circular slot) with an orifice at the center (Fig. 7). 7 Scheme of velocity distribution in radial one-dimensional flow between circular plates with an orifice at the center.

Find them by definition of the derivative @i Di ¼ lim : @w Dw ! 0 Dw As it is seen from Fig. 2, Di % jDw or Di=Dw % j and Di @i ¼ ¼ j: Dw ! 0 Dw @w lim In the same way, it can be shown that @j=@w ¼ Ài. 2 Derivation of formulas @i=@w ¼ j and @j=@w ¼ Ài. 18) components pnt are satisfied equalities pwr ¼ prw ¼ pzr ¼ prz ¼ pwz ¼ pzw ¼ 0: Then, prr ; pww ; pzz are only normal stresses and, for example, prr could be considered as pressure Àp. It can be shown that other stresses are equal to Àp; that is, pww ¼ Àp; pzz ¼ Àp.

Then, the momentum of a mixture filling the volume DV will be X ðwi ri wi ÞDV: ð4:2:2Þ The vector of mass force (gravity force) distributed over the volume DV has the form X  FM ¼ g ð4:2:3Þ wi ri DV; where g is the gravity acceleration. The surface Ds of volume DV under the action of external forces is exposed to surface tension. Denote through Ps total vector of surface forces. It will be determined further as applied to drilling problems. Supposing that the theorem of momentum change could be applied to elementary volume of the mixture as a whole, one obtains  i d hX ð4:2:4Þ wi ri wi DV ¼ gðSwi ri ÞDV þ Ps dt MOMENTUM (MOTION) EQUATION 19 and differentiation of the left side yields  X !

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Applied Hydroaeromechanics in Oil and Gas Drilling by Eugeniy G. Leonov


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