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PRODUCTIVITY INDEX FOR DARCY AND PRE-/POST-DARCY FLOW (ANALYTICAL APPROACH)

Volume 20, Issue 9, 2017, pp. 769-786
DOI: 10.1615/JPorMedia.v20.i9.10
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ABSTRACT

We investigate the impact of nonlinearity of high- and low-velocity flows on the well productivity index (PI). Experimental data show the departure from the linear Darcy relation for high and low velocities. High-velocity (post-Darcy) flow occurring near wells and fractures is described by Forchheimer equations and is relatively well-studied. While low-velocity flow receives much less attention, there is multiple evidence suggesting the existence of pre-Darcy effects for slow flows far away from the well. This flow is modeled via pre-Darcy equations.We combine all three flow regimes, pre-Darcy, Darcy, and post-Darcy, under one mathematical formulation subjected to certain critical transitional velocities. This allows one to use our previously developed framework to obtain the analytical formulas for the PI for the cylindrical reservoir. We study the impact of the non-Darcy effect on the PI depending on the well-flux and the parameters of the equations.

CITED BY
  1. Liu Qingquan, Cheng Yuanping, Dong Jun, Liu Zhengdong, Zhang Kaizhong, Wang Liang, Non-Darcy Flow in Hydraulic Flushing Hole Enlargement-Enhanced Gas Drainage: Does It Really Matter?, Geofluids, 2018, 2018. Crossref

  2. Farmani Zohreh, Azin Reza, Fatehi Rouhollah, Escrochi Mehdi, Analysis of Pre-Darcy flow for different liquids and gases, Journal of Petroleum Science and Engineering, 168, 2018. Crossref

  3. Farmani Zohreh, Farokhian Danial, Izadpanahi Amin, seifi Fatemeh, Zahedizadeh Parviz, Safari Zohreh, Ghaderi Azita, Kazemi Fatemeh, Azin Reza, Pre-Darcy Flow and Klinkenberg effect in Dense, Consolidated Carbonate Formations, Geotechnical and Geological Engineering, 37, 4, 2019. Crossref

  4. Elizarev Maksim , Numerical Simulation of Multiphase Non-Darcy Flows: Generalized Approach, Day 2 Tue, October 01, 2019, 2019. Crossref

  5. Kovalchuk Natalia, Hadjistassou Constantinos, Integrating Microscale Modelling with Core Investigation Measurements to Improve Shale Gas Production, Abu Dhabi International Petroleum Exhibition & Conference, 2019. Crossref

  6. Kovalchuk Natalia, Hadjistassou Constantinos, Laws and principles governing fluid flow in porous media, The European Physical Journal E, 42, 5, 2019. Crossref

  7. Kovalchuk Natalia, Hadjistassou Constantinos, Integrating micro-scale modelling with core measurements to improve natural gas production in shale gas reservoirs, Journal of Petroleum Science and Engineering, 201, 2021. Crossref

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