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# A Mathematical Model and a Method for the Calculation of the Downhole Pressure in Composite-Perforation Technological Processes

Xufeng Li1,2,3, Yantao Bi1,2,3,*

1 Shengli Petroleum Engineering Co., Ltd. of Sinopec, Dongying, 257100, China
2 Key Laboratory of Ultra-Deep Well Drilling Engineering Technology of Sinopec, Dongying, 257100, China
3 Key Laboratory of Unconventional Drilling and Completion Technology of China Petroleum and Chemical Corporation, Dongying, 257100, China

* Corresponding Author: Yantao Bi. Email:

(This article belongs to the Special Issue: Meshless, Mesh-Based and Mesh-Reduction Methods Based Analysis of Fluid Flow in Porous Media)

Fluid Dynamics & Materials Processing 2022, 18(6), 1699-1709. https://doi.org/10.32604/fdmp.2022.019741

## Abstract

Using the conservation equations for mass, momentum and energy, a model is elaborated to describe the dynamics of high-energy gases in composite-perforation technological processes. The model includes a precise representation of the gunpowder combustion and related killing fluid displacement. Through numerical solution of such equations, the pressure distribution of the high-energy gas in fractures is obtained, and used to determine crack propagation. The accuracy of the model is verified by comparing the simulation results with actual measurements.

## Cite This Article

APA Style
Li, X., Bi, Y. (2022). A mathematical model and a method for the calculation of the downhole pressure in composite-perforation technological processes. Fluid Dynamics & Materials Processing, 18(6), 1699-1709. https://doi.org/10.32604/fdmp.2022.019741
Vancouver Style
Li X, Bi Y. A mathematical model and a method for the calculation of the downhole pressure in composite-perforation technological processes. Fluid Dyn Mater Proc. 2022;18(6):1699-1709 https://doi.org/10.32604/fdmp.2022.019741
IEEE Style
X. Li and Y. Bi, "A Mathematical Model and a Method for the Calculation of the Downhole Pressure in Composite-Perforation Technological Processes," Fluid Dyn. Mater. Proc., vol. 18, no. 6, pp. 1699-1709. 2022. https://doi.org/10.32604/fdmp.2022.019741

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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