James (Jake) Gearon

James (Jake) Gearon

A sedimentology/geoinformatics PhD candidate @ Indiana University. Looking at sand from space. I also like LLMs. opinions are my own. email: jhgearon@iu.edu

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publications

random-musings

A Dimensionless Analysis Of The Shear Stress Ratio On An Alluvial Ridge

  1. Dimensionless Parameters Definition:
    • $ \beta = \frac{H_r}{H_c} $ is the ratio of the ridge height ( $ H_r $ ​) to the channel depth ( $ H_c $ ​). It measures how tall the ridge is compared to the depth of the flow that erodes it. A larger $ \beta $ means that the ridge is higher and has more elevation difference with the channel. This increases the shear stress on the ridge, as more potential energy is converted into kinetic energy by gravity. A smaller $ \beta $ means that the ridge is lower and has less elevation difference with the channel. This decreases the shear stress on the ridge, as less potential energy is converted into kinetic energy by gravity.
  • $ \gamma = \frac{S_r}{S_c} $ is the ratio of the ridge slope ( $ S_r $ ​) to the channel slope ( $ S_c $ ​). It measures how steep the ridge is compared to the slope of the flow that erodes it. A larger γ means that the ridge is steeper and has more resistance to erosion. This increases the shear stress on the ridge, as more frictional force is generated between sediment particles and water molecules. A smaller $ \gamma $ means that the ridge is gentler and has less resistance to erosion. This decreases the shear stress on the ridge, as less frictional force is generated between sediment particles and water molecules.

Derivation Of Softmax Random Walk Algorithm

Supplementary Method

Objective:

To compute the probability of moving from a current position $ (x, y) $ to a neighboring position $ (i, j) $ by blending terrain slope and movement inertia, considering valid data and avoiding immediate return to the last position.

talks