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| Titel |
Information entropy to measure the spatial and temporal complexity of solute transport in heterogeneous porous media |
| VerfasserIn |
Weiyao Li, Guanhua Huang, Yunwu Xiong |
| Konferenz |
EGU General Assembly 2016
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| Medientyp |
Artikel
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| Sprache |
en
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 18 (2016) |
| Datensatznummer |
250135304
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| Publikation (Nr.) |
 EGU/EGU2016-16155.pdf |
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| Zusammenfassung |
| The complexity of the spatial structure of porous media, randomness of groundwater recharge
and discharge (rainfall, runoff, etc.) has led to groundwater movement complexity, physical
and chemical interaction between groundwater and porous media cause solute transport in the
medium more complicated. An appropriate method to describe the complexity of features is
essential when study on solute transport and conversion in porous media. Information entropy
could measure uncertainty and disorder, therefore we attempted to investigate complexity,
explore the contact between the information entropy and complexity of solute transport in
heterogeneous porous media using information entropy theory. Based on Markov theory,
two-dimensional stochastic field of hydraulic conductivity (K) was generated by transition
probability. Flow and solute transport model were established under four conditions
(instantaneous point source, continuous point source, instantaneous line source and
continuous line source). The spatial and temporal complexity of solute transport
process was characterized and evaluated using spatial moment and information
entropy. Results indicated that the entropy increased as the increase of complexity of
solute transport process. For the point source, the one-dimensional entropy of solute
concentration increased at first and then decreased along X and Y directions. As time
increased, entropy peak value basically unchanged, peak position migrated along
the flow direction (X direction) and approximately coincided with the centroid
position. With the increase of time, spatial variability and complexity of solute
concentration increase, which result in the increases of the second-order spatial moment
and the two-dimensional entropy. Information entropy of line source was higher
than point source. Solute entropy obtained from continuous input was higher than
instantaneous input. Due to the increase of average length of lithoface, media continuity
increased, flow and solute transport complexity weakened, and the corresponding
information entropy also decreased. Longitudinal macro dispersivity declined slightly
at early time then rose. Solute spatial and temporal distribution had significant
impacts on the information entropy. Information entropy could reflect the change of
solute distribution. Information entropy appears a tool to characterize the spatial and
temporal complexity of solute migration and provides a reference for future research. |
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