Sponsored Links
This presentation is the property of its rightful owner.
1 / 6

Flow in Channels and Fractures Analogies to Darcy’s Law PowerPoint PPT Presentation

Flow in Channels and Fractures Analogies to Darcy’s Law. Channels and Fractures. Channels and Fractures can add significantly to flow capacity Channels Equivalent permeability, k = d 2 /32 in any consistent system (SI) Equivalent permeability, k = 2.0428 x10 10 d 2 k in md d in inches

Download Presentation

Flow in Channels and Fractures Analogies to Darcy’s Law

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Flow in Channels and FracturesAnalogies to Darcy’s Law

Channels and Fractures

• Channels and Fractures can add significantly to flow capacity

• Channels

• Equivalent permeability, k = d2/32 in any consistent system (SI)

• Equivalent permeability, k = 2.0428 x1010 d2

• k in md

• d in inches

• Wormholes from acid stimulation

• Fractures

• Equivalent permeability, k = b2/12 in any consistent system (SI)

• Equivalent permeability, k=5.4476x1010 b2

• k in md

• b in inches

• Stimulation by hydraulic fracturing

• Naturally fractured reservoirs

Channels

A

L

• Darcy’s Equation:

• Porous media

• Darcy units

• Poiseuille’s Equation:

• Flow in tubes (A = r2 )

• Darcy units, EXCEPT

•  in Poises

• p in dyne/cm2

• Self Study - Derive the equivalent permeability shown previously

• Make units of all dimensions the same in both equations

• Cancel terms that are same dimension with same units

Fractures

• Darcy’s Equation:

• Porous media

• Darcy units

• Buckingham’s Equation:

• Flow in slots

• A = b·h; vertical fractures

• Darcy units, EXCEPT

•  in Poises

• p in dyne/cm2

• Self Study - Derive the equivalent permeability shown previously

• Make units of all dimensions the same in both equations

• Cancel terms that are same dimension with same units

A

b

Average Porosity

• Bulk Volume Weighted, Integrated Average

• For a discrete system with a specified number of channels/fractures

• Note, c/f = 1

• Vb,c/f can include multiple channels/fractures

Average Permeability

• For channels or fractures of constant cross sectional area along flow path (parallel flow)

• For discrete values of permeability (piecewise integration)

• Ac/f can include multiple channels/fractures