1. Experimental investigation of holdup fraction using the trapezoidal rule, Simpson's rule and the average offset formula in perforated horizontal wellbore
- Author
-
Hasanain J. Kareem, Mohammed A. Abdulwahid, and Hasril Hasini
- Subjects
Average offset formula ,Flow patterns ,Holdup fraction ,Simpson's rule ,Trapezoidal rule ,Perforated horizontal wellbore ,Technology - Abstract
This study aimed to investigate the holdup fraction in a perforated horizontal well. This article examined the surface of flow patterns (bubble, dispersed bubble, elongated dispersed bubble/slug, plug, stratified wave, half-slug, stratified wave flow, and stratified transition wave/semi-stratified flow). Numerical methods include the trapezoidal rule, Simpson's rule, and the mean displacement formula used to calculate the liquid surface area under a curve for irregular shapes. The average ratio of the flow pattern surface areas by the trapezoidal rule, the Simpsons rule and the average displacement formula were 81.3%, 79.8% and 81.14%, respectively. In addition, the surface area of the liquid phase (holdup fraction) which increases with bubble flow is 108.6 cm 2 and decreases with semi-stratified flow was 51.9 cm 2. However, the ratio of the liquid surface area that increased with Case A (bubble flow) was 32%, and it decreased by 15% with Case L (semi-stratified flow) due to the increased air-phase flow (void fraction). Water phase flow (holdup fraction) was kept constant. The percent error minimum of the liquid surface was 9.42%, 11%, and 9.50% by the Trapezoidal Rule, Simpsons Rule, and Average Displacement Formula occurring in Case A (bubble flow), respectively. In contrast, the maximum values of the surface defect percentage were 56.58%, 57.25%, and 56.75%, respectively, occurring in Case L (semi-stratified flow).
- Published
- 2023
- Full Text
- View/download PDF