Read e-book online Applied Hydroaeromechanics in Oil and Gas Drilling PDF

By Eugeniy G. Leonov

ISBN-10: 0470487569

ISBN-13: 9780470487563

Hydromechanical strategies underlie the vast majority of know-how operations in drilling, and current a very important predicament because the speed and intensity of drilling raises in today’s energy-hungry global. utilized Hydroaeromechanics in Oil and gasoline Drilling bargains a special source for correctly modeling and knowing the hydrodynamic forces affecting a drilling website. Combining hydrodynamic thought with particular drilling purposes, this insurance presents readers with a complete reference for designing, making plans, and optimizing drilling operations.

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Extra resources for Applied Hydroaeromechanics in Oil and Gas Drilling

Example text

2). 1) takes the form p ¼ r1 gzRT; ð4:3:5Þ r2 ¼ const; ð4:3:6Þ where r1 and r2 are densities of gas and fluid. 4) or by Peng–Robinson, and w is the concentration of the first phase. For N-phase mixture, the thermodynamic equation of state has the form r¼ N X i¼1 r i wi ; RHEOLOGICAL EQUATIONS OF STATE 29 where PN ri and wi are density and concentration of the ith phase, with i¼1 wi ¼ 1. , 2001) ri ¼ ai þ bi Á p; ð4:3:7Þ where ai and bi are empirical factors; indices i ¼ 1 and 2 denote the first and the second phase.

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. 13) the common component Àp (in what follows it will be considered as only such media) can be separated, so the stress components take the form prr ¼ Àp þ trr ; prw ¼ trw ; pww ¼ Àp þ tww ; prz ¼ trz ; pwz ¼ twz : pzz ¼ Àp þ tzz ; ð4:2:15Þ It is able to prove that pwr ¼ prw , pzr ¼ prz , and pwz ¼ pzw .

3 THERMODYNAMIC EQUATIONS OF STATE Equations of state express connection between pressures pi, densities ri, and temperatures Ti for each of the phases (Basarov, 1991) Fðpi ; ri ; Ti Þ ¼ 0; i ¼ 1; 2; . . 1) may also be resolved relative density and temperature. 1) describes the compressibility degree of each phase. 1) for one of the phase-resolved relative pressures are shown in Fig. 4. 4). 28 HYDRO-AEROMECHANIC EQUATIONS OF DRILLING PROCESSES accurately described by Peng–Robinson thermodynamic state equation p¼À RT a ; À 2 VÀb V þ 2bVÀb2 where V ¼ 1/r is phase molar volume, factors a and b for n-component mixture are determined by the rule of component mixing.

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

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