Abstract
In this paper, the casing strings of cement slurry during the curing period are taken as the research object in order to build a force model, with comprehensively considering the influence factors such as the phase transition heat transfer and volume change of the cement slurry during the curing period. The random contacts between casings and well walls were simulated by establishing a gap element between two phases of cement slurry. Formulas of axial loadings on the casings during curing of cement slurry were obtained using the finite element method. With this method and on-site measurement, the wellhead axial loads of three wells during cement slurry curing were calculated and tested. The results revealed that the maximum relative deviation between the theoretical prediction results by the model and the actual field test data was 10.42%, indicating that the model established is reliable. Finally, using the established finite element calculation method, the effects of the cementing section length on extra loadings on the wellhead were analyzed. This study serves as an accurate reference to calculations of extra loadings on the wellhead during curing of cement slurry and optimization of cementing section length, thus facilitating well cementation.
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Abbreviations
- q :
-
Casing mass per unit
- ρ s :
-
Density of casing material
- ρ i(l):
-
Density of fluids in the casing (varies with well depth)
- ρ 0(l):
-
Density of the medium at depth of l in the casing
- h 0 :
-
Length of cementing section
- ρ t(l):
-
Density of pad fluids (varies with well depth)
- ρ n(l):
-
Density of cement slurry (varies with well depth)
- A s :
-
Cross-sectional area of the casing
- T 0(h):
-
Stratum temperature (varies with well depth)
- T(t,h):
-
Casing temperature
- P ci0 :
-
Casing pressure
- α :
-
Well deviation angle
- P co0 :
-
Ground annular pressure
- τ(t,l):
-
Gelation strength at well depth h and moment t
- D :
-
Inner diameter of the well wall
- d :
-
Outer diameter of the casing
- S hx :
-
Volume variation ratio
- C F :
-
Volume contraction coefficient
- d ia :
-
Inner large diameter of the casing
- d ib :
-
Inner small diameter of the casing
- d oa :
-
Outer large diameter of the casing
- d ob :
-
Outer small diameter of the casing
- d o :
-
Outer diameter of casing bottom
- d i :
-
Inner diameter of casing bottom
- k :
-
Heat conduction coefficient
- C p :
-
Specific heat of cement slurry
- Q :
-
Latent heat of cement slurry solidification
- T :
-
Temperature
- t :
-
Time
- g s :
-
Volumetric percentage of solid phases
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Acknowledgement
The authors are grateful for the support from the University Nursing Program for Young Scholars with Creative Talents in Heilongjiang Province (No. UNPYSCT-2017036), funding from Priority funding projects for Returned Scholars in Heilongjiang Province (No. 2017QD0033), funding from China Postdoctoral Science Foundation (No. 2017M621240), and the funding from Postdoctoral Science Foundation in Heilongjiang Province (No. LBH-Z17037).
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Ding, Y., Lu, Y., Cheng, J. et al. Calculation and Experimental Study of Axial Loading of Casing Based on the Phase Transition Effect During Curing of Cement Slurry. Arab J Sci Eng 46, 6849–6858 (2021). https://doi.org/10.1007/s13369-020-05010-7
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DOI: https://doi.org/10.1007/s13369-020-05010-7