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A New Friction Factor Correlation for Laminar and Single-Phase Fluid Flow through Fractured Rocks PowerPoint Presentation
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A New Friction Factor Correlation for Laminar and Single-Phase Fluid Flow through Fractured Rocks.

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slide1

A New Friction Factor Correlation for Laminar and Single-Phase Fluid Flow through Fractured Rocks

K. Nazridoust, G. Ahmadi, and D.H. SmithDepartment of Mechanical and Aeronautical Engineering Clarkson University, Potsdam, NY 13699-5725National Energy Technology LaboratoryU.S. Department of Energy, Morgantown, WV 26507-0

slide2

Outline

  • CT Scanning Procedures of Fractured Rocks

- Geometric Features of Fractures

  • Single Phase Flows through Fractures

- Velocity and pressure contours

  • Gas-Liquid Flows

- Water Flooding in Oil Saturated Fractures

  • Conclusions
slide3

C.T. Scanning of

Fractured Rocks

slide4

0.5 mm

HD-250 Medical C.T. Scanner

slide7

OMNI-X Scanner - Penn State

Source

Detector

Rock sample in

the pressure vessel

slide8

Healed Natural Fracture

Open Artificial Fracture

slide10

Fractures Topology

Sample diameter is 25 mm. Inset size is 5x5 mm.

slide11

aperture

length

Extracting Digital Fracture

slide12

Fracture/Sections

C.T. Scan Images

240 Micron Resolution

slide14

Fracture Sections

No-slip Wall

Inlets

slide15

Governing Equations

Continuity

Momentum

ParallelPlate Model, Laminar Flow

For ith passage :

Tortuosity

Friction Factor

Average aperture height

slide22

Friction Factor

Friction Factor for Laminar Flow between Parallel Plates

Friction Factor for Laminar Flow in Fractures

slide28

Velocity Magnitude Contours During

Water-Oil Flow on a Plane across Fracture

Shaded region is the fracture opening which is made transparent so that the flow can be observed. White regions are rock. The contours are shown on a plane through the fracture.

slide32

Two-Phase Air-Water

Flows though a

Multi-Branch Fracture

slide34

Air-Water Flow in a Multi-Branch Fracture

Velocity Magnitude Contours

Air Volume Fraction Contours

slide35

Air-Water Flow in a Multi-Branch Fracture

Air Volume Fraction Contours

slide36

Air-Water Flow in a Multi-Branch Fracture

Water Volume Fraction Contours on a Plane

slide37

Air-Water Flow in a Multi-Branch Fracture

Velocity Magnitude Contours on a Plane

slide38

Conclusions

  • The computer simulation technique is capable of capturing the features of the flow through the fracture.
  • The simulation results are in qualitative agreement with the parallel plate model.
  • The newly proposed empirical equation for fracture friction factor provides reasonably accurate estimates for the pressure drops in fractures for range of Reynolds numbers less than 100.
  • A significant portion of the fracture pressure drop occurs in the areas with smallest passage aperture.
slide39

Conclusions

  • The order of the magnitude of the pressure in various sections of the fracture is consistent with the number of passages with smallest aperture that are present in those sections.
  • The tortuosity of the fracture passage is an important factor and needs to be included in the parallel plate model.