Open Access

ARTICLE

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

Xufeng Li^1,2,3, Yantao Bi^1,2,3,*

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 this 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

Received 12 October 2021; Accepted 21 December 2021; Issue published 27 June 2022

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.

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