Boundary Depth Scans

capillary-balance-three-row-scan

Column height is scanned below, at, and above the capillary balance. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Column height is scanned through the balance point

The capillary pressure remains 20 Pa while the liquid column height is 1 over 2 m. That gives a column pressure of 10 Pa and accepted bit 0 because the row is below the balance.

Pc=20 Pa,Pcol=10 Pa,b=0P_c=20\ \text{Pa},\quad P_{\rm col}=10\ \text{Pa},\quad b=0
Capillary balance boundary rowOnly the column height moves through the balance point.radiusheightbelow boundary

Column height is scanned through the balance point

The capillary pressure remains 20 Pa while the liquid column height is 1 m. That gives a column pressure of 20 Pa and accepted bit 1 because the row is at the balance.

Pc=20 Pa,Pcol=20 Pa,b=1P_c=20\ \text{Pa},\quad P_{\rm col}=20\ \text{Pa},\quad b=1
Capillary balance boundary rowOnly the column height moves through the balance point.radiusheighton boundary

Column height is scanned through the balance point

The capillary pressure remains 20 Pa while the liquid column height is 3 over 2 m. That gives a column pressure of 30 Pa and accepted bit 0 because the row is above the balance.

Pc=20 Pa,Pcol=30 Pa,b=0P_c=20\ \text{Pa},\quad P_{\rm col}=30\ \text{Pa},\quad b=0
Capillary balance boundary rowOnly the column height moves through the balance point.radiusheightabove boundary