Non-Darcy Porous-Media Flow According to the Barree and Conway Model: Laboratory and Numerical-Modeling Studies
- Bitao Lai (Colorado School of Mines) | Jennifer L. Miskimins (Colorado School of Mines) | Yu-Shu Wu (Colorado School of Mines)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- March 2012
- Document Type
- Journal Paper
- 70 - 79
- 2012. Society of Petroleum Engineers
- 5.3.1 Flow in Porous Media, 5.5 Reservoir Simulation, 2.5.2 Fracturing Materials (Fluids, Proppant)
- non-Darcy flow model, fractured media
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- 1,000 since 2007
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This paper presents the results of our new experimental studies conducted for high flow rates through proppant packs, which show that the Barree and Conway (2004) flow model is capable of overcoming limitations of the Forchheimer non-Darcy equation at very high flow rates. To quantify the non-Darcy flow behavior using the Barree and Conway model, a numerical model is developed to simulate non-Darcy flow. In addition, an analytical solution is presented for steady-state linear non-Darcy flow and is used to verify the numerical-simulation results. The numerical model incorporates the Barree and Conway model into a general-purpose reservoir simulator for modeling multidimensional, single-phase non-Darcy flow in porous and fractured media and supplements the laboratory findings. The numerical model is then used to perform sensitivity analysis of the Barree and Conway flow model?s parameters and to investigate transient behavior of non-Darcy flow at an injection well.
The objectives of this paper are (1) to present experimental data from our current laboratory studies of high flow rates through proppant packs and (2) develop mathematical-modeling tools to quantify such high-flow-velocity, non-Darcy-flow behavior. Our experimental results show that non-Darcy flow occurs at high flow rates and that the conventional Forchheimer model may not be sufficient to describe the observed high-flow-rate behavior. On the other hand, the Barree and Conway (2004) flow model is found to be able to match the entire range of observed data from low to high flow rates. The modeling tools developed include both analytical and numerical approaches for simulating single-phase non-Darcy flow with the Barree and Conway model. In addition, the numerical model is used to perform parameter-sensitivity analysis and to obtain insight into transient non-Darcy flow with the Barree and Conway flow model.
|File Size||1 MB||Number of Pages||10|
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