Erosional Pedestals: An elegant product of water, sand and physics

Author
Sarah Thrasher

I was immediately intrigued by the small pillars of sand underneath a dripping rock overhang at our Poncho’s Kitchen campsite (RM 139). At first look, they appear to be piles of sand that precipitated from the dripping seeps coming out of the sandstone above. They are actually a more complicated phenomenon—each one has a rock at the pinnacle of the pillar, and that rock has prevented the sand underneath from eroding. Since the rocks deflect water at angles determined by drip velocity, gravity and rock surface roughness, I presume that there is a predictable relationship between rock diameter, pillar base diameter and pillar height. I took measurements of 30 different pillars at three separate sites of varying distances from the dripping rocks to see if there is a pattern in the pillars’ dimensions. I predict that the pillars will increase in height as distance from the drip increases, causing drip velocity to increase. I also predict that within each site, rock-diameter-to-pillar-height will be regularly distributed around a mean.

I measured rock diameter as the average diameter in mm if a rock was asymmetrical. The pillar height is measured in mm at the maximum height if the pillar is on a slope. The pillar base diameter is measured in mm, and averaged if the base is asymmetrical. I measured ten representative pillars at each of three sites. Each site was progressively farther from the dripping sandstone overhead, meaning that the water was probably moving at higher velocity when it hit the sand at site 3 than at site 1. I calculated averages for all values at each of the three sites.

Placement of sample sites. 3 is closest toriver  and  1  is  farthest  up  on  shore.   Drippingsandstone overhang is shown above.

Left: Placement of sample sites. 3 is closest to river and 1 is farthest up on shore. Dripping sandstone overhang is shown above.

Inset: Pedestal formation. Water drips onto rock, and deflects at varying angles, eroding sand at those angles.

My results are shown on the last page. I was able to reach some conclusions which are summarized in the data table. There were varying degrees of spread (kurtosis) around the mean values, but there were some general patterns:

  1. In all three sites, rock diameter is strongly centered on a mean and increases significantly from site 1 to site 3. Rock diameter is obviously not determined by the dripping water, but this result may mean that rock diameter increases from bank to shore. This could mean wind and water selecting for larger diameter pebbles and rocks nearer to the zone of inundation.

  2. In all three sites, base diameter is strongly centered around a mean. This is not surprising because if rock size at each site is standard, then base diameter should be standard because the angle of water deflection is fairly constant (determined by physics).

  3. The average base-to-rock-diameter ratio is different at each site, and is probably significant since rock and base diameters are fairly narrowly distributed about each site’s mean. The base-to-rock ratios characteristic of each site are listed in the data table.

  4. Pedestal heights are progressively higher from site 1 to site 3. This makes sense because water is probably reaching a higher velocity as it falls from a longer distance to reach site 3. It therefore erodes the sand surrounding the pedestals to a lower depth.

I found more erosional pedestals at our final campsite, but these were produced by rain. They were smaller and more uniform, possibly because rain is more evenly distributed and less targeted than a constantly-dripping seep that creates dramatic pedestals like those at Poncho’s Kitchen.

Erosional pedestals created by rain. Smaller and more uniform than those created by seeps above Poncho’s kitchen.

Left: Erosional pedestals created by rain. Smaller and more uniform than those created by seeps above Poncho’s kitchen.

 

Data Table:

  Site 1          
  rock d, mm pillar h, mm base d, mm rockd/ based rockd/ pillarh Notes
  6.00 45.00 35.00 0.17 0.13 Base diam is about 4 times
  5.00 35.00 30.00 0.17 0.14 the rock diam
  7.00 50.00 34.00 0.21 0.14 Pillar height is about 5 times
  10.00 27.00 30.00 0.33 0.37 the rock diam
  8.00 49.00 31.00 0.26 0.16 Rocks are small
  19.00 73.00 38.00 0.50 0.26 Bases are small
  3.00 65.00 35.00 0.09 0.05 Pillars are short
  8.00 32.00 30.00 0.27 0.25 Rock diameter and base
  20.00 75.00 40.00 0.50 0.27 diameter are fairly centered around the mean.
  5.00 25.00 20.00 0.25 0.20 Pillar height is variable.
average 9.10 47.60 32.30 0.27 0.20  
stdev 5.820462 18.41014 5.558777 0.136906 0.091808  
variance 33.87778 338.9333 30.9 0.018743 0.008429  
kurtosis 0.564499 -1.30512 1.983571 -0.13666 0.279426  
  good bad great fair good  
 

 

Site 2

         
  11.00 52.00 40.00 0.28 0.21 Base diam. is slightly more than 5 times the rock diam.
  11.00 120.00 55.00 0.20 0.09  
  7.00 115.00 43.00 0.16 0.06 Pillar height is about 6 times the rock diam.
  25.00 125.00 100.00 0.25 0.20  
  8.00 50.00 40.00 0.20 0.16 Rocks are intermediate sizes
  10.00 70.00 54.00 0.19 0.14 Bases are intermediate diameter
  12.00 75.00 58.00 0.21 0.16  
  12.00 48.00 40.00 0.30 0.25 Pillars are intermediate height
  11.00 80.00 60.00 0.18 0.14 Rock diameter and base diameter are fairly strongly centered around mean.
  9.00 35.00 37.00 0.24 0.26 Pillar height is variable.
average 11.60 77.00 52.70 0.22 0.17  
stdev 4.993329 32.69047 18.70858 0.0443 0.06375  
variance 24.93333 1068.667 350.0111 0.001962 0.004064  
kurtosis 7.214701 -1.36644 4.847785 -0.68354 -0.65343  
  excellent bad great fair fair  
 

 

Site 3

         
  45.00 130 75 0.6 0.35 Base diam is about twice the rock diam.
  23 85 50 0.46 0.27  
  145 140 185 0.78 1.04 Pillar height is about 3 times the rock diam.
  11 80 35 0.31 0.14 Rocks are large
  10 72 40 0.25 0.14 Bases are large diameter
  14 74 36 0.39 0.19 Pillars are highest
  18 80 36 0.50 0.23 Rock diameter and base diameter are fairly strongly centered around mean.
  10 115 65 0.37 0.21  
  24 115 65 0.37 0.21  
  48 125 85 0.56 0.38 Pillar height is variable.
average 34.80 101.60 66.20 0.44 0.30  
stdev 41.08203 25.8938 45.23715 0.179352 0.273915  
variance 1687.733 670.4889 2046.4 0.032167 0.07503  
kurtosis 7.06946 -1.88835 6.213777 0.049296 7.032219  
  excellent bad great OK excellent