『Abstract
The growth of quantitative analysis and prediction in Earth-surface
science has been accompanied by growth in experimental stratigraphy
and geomorphology. Experiments have grown increasingly bold in
targeting landscape elements from channel reaches up to the entire
erosional networks and depositional basins, often using very small
facilities. The experiments produce spatial structure and kinematics
that, although imperfect, compare well with natural systems despite
differences of spatial scale, time scale, material properties,
and number of active processes. Experiments have been particularly
useful in studying a wide range of forms of self-organized (autogenic)
complexity that occur in morphodynamic systems. autogenic dynamics
creates much of the spatial structure we see in the landscape
and in preserved strata, and is strongly associated with sediment
storage and release.
The observed consistency between experimental and field systems
despite large differences in governing dimensionless numbers is
what we mean by “unreasonable effectiveness”. We suggest that
unreasonable experimental effectiveness arises from natural scale
independence. We generalize existing ideas to relate internal
similarity, in which a small part of a system is similar to the
larger system, to external similarity, in which a small copy of
a system is similar to the larger system. We propose that internal
similarity implies external similarity, though not the converse.
The external similarity of landscape experiments to natural landscapes
suggests that natural scale independence may be even more characteristic
of morphodynamics than it is of better studied cases such as turbulence.
We urge a shift in emphasis in experimental stratigraphy and geomorphology
away from classical dynamical scaling and towards a quantitative
understanding of the origins and limits of scale independence.
Other research areas with strong growth potential in experimental
surface dynamics include physical-biotic interactions, cohesive
effects, stochastic processes, the interplay of structural and
geomorphic self-organization, extraction of quantitative process
information from landscape and stratigraphic records, and closer
interaction between experimentation and theory.
Keywords: stratigraphy; geomorphology; sedimentary geology; experiments』
Contents
1. Introduction
2. Dynamical scaling
2.1. Engineering approach
2.1.1. Scaling fluid flow
2.1.2. Scaling sediment transport
2.1.3. Limits of classical dynamical scaling
2.2. System-scale nondimensional variables
3. “Unreasonable effectiveness” on action: results from stratigraphic
and geomorphic experiments
3.1. Erosional landscapes
3.1.1. Experimental methods
3.1.2. Steady-state erosional landscapes
3.1.3. Response of erosional landscapes to change
3.1.4. Summary and next steps: erosional systems
3.2. Depositional systems and stratigraphy
3.2.1. Experimental methods
3.2.2. Analytical methods
3.2.2.1. Geomorphic surfaces, stratigraphic surfaces, and chronostratigraphic
significance
3.2.2.2. Mass balance
3.2.3. Stratigraphic effect of base-level cycles
3.2.3.1. Base-level changes combined with subsidence
3.2.4. Stratigraphic effects of water and sediment supply cycles
3.2.5. Tectonics and sedimentation
3.2.6. Avulsion and architecture
3.2.7. Other autogenic processes
3.2.8. Summary and general findings from stratigraphic experiments
3.2.8.1. General implications for sequence stratigraphy
3.3. Alluvial fans
3.4. Deltas
3.5. Rivers
3.5.1. Bedrock and erosional channels
3.5.2. Braided rivers
3.5.3. Single-thread rivers, including meandering
3.5.4. Autogenic river processes
3.6. Deep-water processes
3.6.1. Submarine fans
3.6.2. Interaction of turbidity current with channels
3.6.3. Turbidity currents in intraslope minibasins
3.6.4. Submarine debris flows
3.6.5. Summary and next steps: deep-marine systems
3.7. Summary
4. Small worlds and large worlds: scaling revisited
4.1. Kinds of similarity
4.1.1. Similarity and affinity
4.1.2. Geometric, kinematic, and dynamic similarity
4.1.3. Exact and statistical similarity
4.1.4. Internal and external similarity
4.1.5. Natural and imposed similarity
4.2. Scale independence
4.3. Natural internal scaling in landscapes
4.4. Does internal similarity imply external similarity?
4.5. External similarity does not require internal similarity
5. Synthesis, strategies, and future of landscape experiments
5.1. Synthesis
5.2. Strategies
5.3. Next steps
5.3.1. Replication and reproducibility
5.3.2. Cohesion and life
5.3.3. Submarine landscapes
5.3.4. Statistical dynamics
5.3.5. Coupling geodynamics to surface processes
5.3.6. Extraterrestrial landscapes
5.3.7. Model testing
Acknowledgments
References