2-Dimensional Transport and Production Limited Analysis of Fault Scarps: Landlab Implementation and Examples from Western US

This study presents an analysis of fault scarps, with a focus on implementing the Landlab computational toolkit to model fault scarp evolution and analyzing fault scarps under transport and production-limited conditions with linear and nonlinear diffusive transport laws. The aim of the study is to expand diffusion modeling of fault scarps from 1D to 2D by using Landlab toolkit. The study evaluated two fault scarps in western US (NE California): one representing an old fault scarp (Twin Butte) and the other representing a young fault scarp (Active Hat Creek Fault). High-resolution digital elevation models (DEMs) were used to generate 2D surfaces of the fault scarps, which were then converted to 1D profiles for morphological modeling and analysis. The accuracy of the models was evaluated using Root Mean Squared Error (RMSE), and the best-fit models were selected for further examination. The grid search of the non-linear diffusion model of the Twin Butte and Active Hat Creek fault scarps showed optimum values for transport constant (k) and scarp age (t) that aligned with the apparent ages of the rocks and associated fault scarps. For both fault scarps, the optimum k value was around 7.5 m2 /kyr, while the optimum t value was around 110 kyr for the Twin Butte scarp and around 26 kyr for the Active Hat Creek scarp. The results suggest that the geomorphic processes (influenced by climate and rock types) in both fault scarps are similar, despite the difference in age and location. Integrating tectonic displacement in the model helps to better capture the observed patterns of tectonic deformation. The expansion of the fault scarps diffusion model from 1D to 2D opens up a range of fascinating possibilities, as it enables us to model the lateral movement of particles that the 1D model typically overlooks. By incorporating this additional dimension, we can better understand the complex interplay between vertical and horizontal displacements, providing a more accurate representation of the geological processes at work. This advancement ultimately allows for a more comprehensive analysis of fault scarps and their development over time, enhancing our understanding of Earth's dynamic crustal movements.