Data processing

 

 


Measurements

On each object is measured :

  • g = gravity centre
  • s = surface area (by counting the number of pixels composing object)
  • L and l = long and short axes of the best fitting ellipse
  • a = angle between the long axis and horizontality
  • p = perimeter (by counting the number of pixels at the object boundary)

For details, see the manual of NIH Image available at http://rsb.info.nih.gov/nih-image/

Measurements are then exported to a spreadsheet for further processing.


Grain-Size

Do = equivalent disk diameter =

The following simplifications need to be considered:

  • grains are not spherical
  • random two-dimensional section of grains leads to an underestimation of grain diameter.


Phase Percentage

P% provides the amount of "coarse" grains compared to a clay matrix.

By plotting P% calculated on each pixels row as a function of the depth of its centre of gravity, it is possible to detect any graded-bedding.


Inclination diagrams

each object receives a weighed coefficient pi = (L/l) (Do)

Inclination diagrams are build as traditional rose diagrams. In this example, the inclination class at 35° receives the strongest value. In the original BSE image, this orientation of the grain is perceptible. There is 18 inclination classes.

 

 


Vector (Q,S)

Q is the vector mean and S its intensity

Q measures the objects majority orientation

S indicates the strength of the parallelism between objects

For the example, Q = 12° and S = 0.8


Shape index Rm

Rm = mean Ri

Ri = 4 area/p L2

Sediments composed with numerous elongated objects (as micas) have weak Rm

For the example, Rm = 0.58


Quantification of sedimentary structures using indices

 

Using indices, it is possible to quantify most of the aspects the sedimentary facies.