Monday, May 22, 2017

One dimensional morphological modeling of transport and production- limited fault scarps

Over the years, I have maintained a steady obsession with fault scarps. For my Ph.D., I worked on a few aspects of fault-scarp development: Arrowsmith, J R., Pollard, D. D., and Rhodes, D. D., Hillslope development in areas of active tectonics, Journal of Geophysical Research, 101, B3, 6,255--6,275, 1996. Correction: Journal of Geophysical Research, 104, B1, 805, 1999. Since then, I have kept the work going along, mostly with teaching applications. In this blog post, I wanted to share some of the presentations and tools that are available to explore, learn about, perform one dimensional morphological modeling of transport and production-limited fault scarps.

A few definitions:

  • One dimensional--means elevation (H) as a function of distance along a profile (x).
  • Transport-limited--there is enough transportable material available for any erosion that comes from the application of the mass continuity equation. In this case, the transport capacity is equal to the sediment supply.
  • Production-limited--there is insufficient transportable material (regolith=material between topographic surface and top of bedrock) for erosion. In this case, the transport capacity exceeds the sediment supply locally.
  • Diffusion erosion--transport capacity is scaled by local slope and a constant k. The consequence of this transport rate choice and the application of continuity for transport-limited conditions yields a diffusion-like or heat-conduction-like behavior.

This presentation (PPT and PDF) provides a bit of a review of fault scarp research as I saw it mostly about 5-10 years ago. This PPT has two embedded movies which illustrate this basic behavior: PPT. Transport-limited scarp movie; Production-limited scarp movie

Transport-limited models:

This web page from my Computers in Earth and Space Exploration class lays out the main derivation and numerical implementation: Lecture 8: Exploring diffusion using Excel. This older page has some Matlab and Excel implementations of 1D transport-limited linear diffusion: Scarp diffusion exercise. Finally, here is a 2D version of transport-limited non-linear diffusion in a paper by Mattia de Michieli Vitturi and me: de Michieli Vitturi, M. and Arrowsmith, J R., Two dimensional nonlinear diffusive numerical simulation of geomorphic modifications to cinder cones, Earth Surface Processes and Landforms, doi:10.1002/esp.3423, 2013.

Production-limited models:

George Hilley significantly updated my original code and produced the Penck1D imlpementation in MATLAB: zip file. Here is an older version of the MATLAB (no gui): zip file.
The software is delicate in some ways so you may have to try it a few times! If it crashes, just start over. One important thing is that it works best if downhill is to the right.

Note in particular the user's manual we wrote in 2006: Hilley, G. E., and Arrowsmith, J R., Penck1d: Transport- and production-limited fault scarp simulation software, user's manual for software used at 2001 Geological Society of America Short-course: Tectonics and Topography: Crustal Deformation, Surficial Processes, and Landforms Cosponsored by GSA Structural Geology and Tectonics Division and taught by Dorothy Merritts and Roland Bürgmann.


  1. Testimony of financial breakthrough from GOD through the help of Funding Circle Loan INC. ( OR Call/Text +14067326622)...

    Hi I'am Evelyn Russell resident at 808 NE 19th St Oklahoma City, I am a single mother blessed with 2 daughters. For a while now I have been searching for a genuine loan lender who could help me with a loan as I no longer have a job, all I got were hoodlums who made me trust them and at the end they took my money without giving me any loan, my hope was lost, I got confused and frustrated, it became difficult for my family to feed with a good meal, I never wanted to have anything to do with any loan lending companies on the internet again. Not until I met a Godsent loan lender that changed my life and that of my family Through the help of a fellowship member "a lender with the fear of God in him Mr JASON RAYMOND, he was the man God sent to elevate my family from suffering. At first I thought it wasn’t going to be possible due to my previous experience until I received my loan worth $135,000.00 USD in less then 24hours. So my advise to anyone out there genuinely in need of a loan is to contact Funding Circle Loan INC through this official email:- OR Call/Text +14067326622 and be financial lifted.

    1. Assalamualaikum wrb,saya Rahman saputrah, niat saya hanya ingin berbagi kebaikan khusus kepada orang yang mengalami kesusahan,percaya tidak percaya semua kembali pada pembaca postingan saya, awalnya saya seorang pengusaha yang bisa dibilang sukses, tapi banyak yang tidak suka kalau saya sukses,dan akhirnya bisnis saya bangkrut dan saya sempat jadi Pengangguran kurang lebih 1tahun saya punya anak 3 dan masih kecil2,saya sempat putus asa dan tidak tau mau berbuat apa, tapi setiap saya melihat anak saya, Saya merasa kasian, dan kemarin tampa disengaja ada Teman saya memberi saran dia menyarangkan saya untuk menghubungi Mbah jonoseuh, beliau memberikan bantuan Pesugihan, awalnya sih saya ragu tapi mau nggak mau saya beranikan diri mencoba bantuan dari Mbah jonoseuh. syukur Alhamdulillah dengan bantuan pesugihan beliau saya sekarang sukses kembali dan saya bisa biayai sekolah anak saya sampai selesai,terimah kasih Mbah berkat Mbah saya bisa sukses kembali,ini pengalaman pribadi saya khusus bagi teman2 yang sempat baca dan punya masalah silahkan hub Mbah jonoseuh di nomor 082344445588 dan pasti beliau bisa meringankan semuah permasalahan yang anda hadapi untuk saat ini, Dan terimah kasih kepada yang punya room ini karna saya sempat berbagi pengalaman dan mudah2han bisa membantu,