Journal of Petrochemical Universities
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The Optimal Design Method of Stage Interval for Horizontal Well Fracturing in Low-Permeability Gas Reservoirs

Zhao Jun
Abstract362)      PDF (2292KB)(0)      
      Staged fracturing of horizontal wells is an essential development technology for lowpermeability gas reservoirs, and the stage interval will affect fracturing treatment and production rate greatly. Different from the previous reservoir simulation method, the optimal design method in this paper is based on the production of frac-tured vertical well and experience to determine the stage spacing, and considers both production and stress distur-bance. As a prerequisite, the productivity of horizontal well should be equal to the open well's at the least, at the meaning while, assuming that gas flows linearly from formation into fractures, and enters the wellbore radially, the calculation equation is derived to determine the max stage interval. The minimum stage interval can be calculated by stress disturbance theory around fractures. At last, the two calculation methods are combined to define the maximum and minimum scope of stage interval. A computation case shows that the optimal method is optional for on-site rapid fracturing design.

 

2017, 30 (2): 44-49. DOI: 10.3969/j.issn.1006-396X.2017.02.009
Adapt ive Dy namic S urface Co nt rol of Buck Pow er Conver ter s
YI Li-kui, ZHAO Jun
Abstract253)      PDF (154KB)(191)      
Based on the average model of Buck DC-DC power converters, which worked according to pulse width modulation principle, adaptive dynamic surface controller was designed. The controller can drive a class of Buck DC-DC power converters to operate well. It tracks the reference output voltage accurately, and has good robustness and adaptability for the parameter uncertainty. Adaptive dynamic surface control is a simplified algorithm for adaptive backstepping control of nonlinear systems. The addition of n-1 first-order filters allows the algorithm to be implemented without differentiating any model nonlinearities and suffering from the problem of the explosion of terms. When the filter time is small enough and the surface gain is selected reasonably, the controller is easy and prone to be practiced, and can guarantee semi-global stability. The effectiveness of the proposed control scheme is verified by the simulation.
2007, 20 (3): 57-59.