Similarity in geomorphic physical modeling and its application to tectonic geomorphology: A review

YAN Bing

doi:10.12090/j.issn.1006-6616.2026015

Volume 32 Issue 3

Jun. 2026

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YAN B，2026. Similarity in geomorphic physical modeling and its application to tectonic geomorphology: A review[J]. Journal of Geomechanics，32（3）：741−758 doi: 10.12090/j.issn.1006-6616.2026015

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Similarity in geomorphic physical modeling and its application to tectonic geomorphology: A review

doi: 10.12090/j.issn.1006-6616.2026015

YAN Bing^,

School of Earth Sciences and Engineering, Xi’an Shiyou University, Xi’an 710065, Shaanxi, China

Funds: This research is financially supported by National Natural Science Foundation of China (Grant No. 42572265).

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Received: 2026-01-28
Revised: 2026-05-25
Accepted: 2026-05-25

Available Online: 2026-06-03

Published: 2026-06-28

Abstract

Abstract

Objective In tectonic geomorphology, physical modeling is a key tool for investigating the interactions between tectonics, climate and surface processes. A fundamental challenge lies in establishing similarity between analog laboratory experiments and natural landscapes, which differ greatly in scale, materials, and boundary conditions. This review systematically evaluates progress and remaining challenges in similarity in analog modeling. Methods This paper reviews experimental studies using silica powder or the “MatIV” composite material under controlled conditions of rainfall and tectonic uplift. A comparative framework based on geomorphic parameters (basin self-similarity, sinuosity, spacing ratio, Hack’s law, hypsometric integral, slope-area relationships, knickpoint migration, erosion rates, and χ analysis) is adopted to identify consistent findings and discrepancies between experimental and natural landscapes. Results In terms of similarity in fluvial morphology, experimental drainage basins exhibit self-similarity over a range of scales, with shape parameters (spacing ratio, Hack exponent) falling within natural ranges. Hypsometric integrals transition from convex to S-shaped as uplift slows, mimicking mature landscapes. The concavity index approaches natural values in sufficiently large basins. Regarding erosion process similarity, experimental erosion rates increase nonlinearly with slope, and a clear shift from fluvial incision to gravity-dominated erosion occurs on steeper slopes, mirroring natural behavior. Derived time scaling has been validated across compressional, extensional, and strike-slip settings. Knickpoint retreat follows a power law with upstream area and can migrate at a constant rate, indicating an intrinsic landscape response. With respect to erosional dynamics similarity, experimental erosion regimes are mixed: detachment-limited in headwaters and transport-limited downstream. The χ value successfully predicts main drainage divide migration toward higher χ values, consistent with theoretical expectations and natural observations. Conclusions Despite differences in large-scale and material, analog experiments reproduce key features of natural tectonic landscapes in terms of morphology, erosion processes, and erosional dynamics, including self-similarity, Hack scaling, knickpoint dynamics, and divide migration. This “unreasonable effectiveness” arises from the scale independence of landscape dynamics. Current limitations include lower concavity indices in small basins, insufficient quantification of the steepness index, boundary effects on sinuosity, and oversimplified erosion mechanisms. Significance This review provides a systematic synthesis of similarity criteria for physical models of tectonic geomorphology, bridging analog experiments and natural landscapes. It also offers a practical framework for model validation and future quantitative applications in tectonic and climatic research.
- tectonic geomorphology,
- physical modeling,
- similarity,
- geomorphic parameters,
- erosional dynamics

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