By Jiuping Xu
The booklet discusses the characters of tubular strings in HTHP(High Temperature - excessive strain) oil and fuel wells. those characters comprise the mechanical habit of tubular strings, the temperature and strain edition of tubular strings in several stipulations. for various stipulations, the ebook establishes mathematical versions, and discusses resolution life and specialty of a few types, provides algorithms equivalent to different versions. The publication presents numerical experiments to ensure the validity of types and the feasibility of algorithms, and in addition mentioned the influence of the parameters of types for oil and fuel wells.
This booklet is written for researchers and technicians in petroleum and gasoline checking out and construction engineering. it's also meant to function a reference ebook for school academics and students.
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Extra resources for Tubular String Characterization in High Temperature High Pressure
Example text
Suppose that the function θ(s) is n continuously differentiable on [0, l], θ(0) = θ0 , θ(l) = θ1 , θ (0) = θ00 , θ (l) = θ11 (the functional value of two endpoints are not fixed), θ, δθ, δθ l are independent. Then variational problem (VP3) of = 0 ds is equivalent to the differential equation boundary problem including the natural boundary conditions (DP3) where, (VP3) is: ⎧ (s) ⎪ ⎨ min θ(0) = θ0 , θ(l) = θ1 , ⎪ ⎩ θ (0) = θ00 , θ (l) = θ11 . Tubular string buckling theoretical analysis 39 (DP3) is: ⎧ ⎪ Fτe k0 sin ϕ dϕ sin2 ϕ dψ ⎪ ⎪ q r + sin θ − r cos θ + f2 Nr − 6EIr 2 (θ )2 θ ⎪ e ⎪ qe k0 ds k0 ds ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ +Fτe r 2 θ + 3MT r 2 θ θ + EIr 2 θ (4) = 0, ⎪ ⎪ ⎪ ⎪ ⎨ θ(0) = θ0 , θ(l) = θ1 , ⎪ θ (0) = θ00 , θ (l) = θ11 , ⎪ ⎪ ⎪ ⎪ l ⎪ ⎪ Fτe 3MT ⎪ 2 3 ⎪ θ + + ) − 2(θ ) = 0, θ (θ ⎪ ⎪ ⎪ EI 2EI ⎪ 0 ⎪ ⎪ ⎩ {θ }l0 = 0.
On the basis of these dimensionless deformation differential equations, we can discuss the critical dimensionless load under sinusoidal buckling and helical buckling states. 1 The buckling critical load and tubular string deformation solution According to function theory, the functional of the deformation differential equations is: L = ds, 0 where, = MT2 M2 1 F2 1 q2 + EIk02 − τe − e − T + EIr 2 [(θ )2 + (θ )4 ] GJ 2EI 2 EA EA 2 1 (rθ )2 − rk0 (1 − cos θ) . 1. Supposed that the sinusoidal buckling of tubular string took place, and it has n sinusoidal wave on tubular string of the length l.
In steam injection, as steam is injected either down the well-bore or down the tubing/casing annulus to the formation being flooded, heat is transferred from or to the surrounding earth as a result of the difference in geothermal and injected fluid temperature. To evaluate the feasibility of an injection project, a reasonable estimate for the effective amount of heat carried by the fluid, its temperature, pressure and gas dryness fraction is need. Therefore, we have considered not only temperature and pressure but also the gas dryness fraction in the computation.