Fractional Order River Transport Model for Dissolved Organic Matter
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Solution Overview
Problem
Current methods fail to accurately characterize the complex migration behaviors of dissolved organic matters in rivers, especially under dynamic conditions like rainfall or flood discharge, due to their complex biological, physical, and chemical influences, and existing models do not effectively capture the tailing phenomenon in topographically complex river channels.
Innovation Solution
A transport model for dissolved organic matters in rivers is constructed using a truncated fractional order derivative model with dual stress sections, incorporating physical adsorption and biodegradation processes, and calibrated parameters to predict their distribution under varying flow conditions, including rainfall or flood discharge.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a classical convective-diffusive equation and traditional empirical formula are used to characterize dissolved organic matter migration, then the model structure is simple, but the measurement precision of migration behavior characterization is insufficient, especially for tailing phenomenon in topographically complex river channels
Solution Approach 1:
The patent changes the mathematical parameters from classical integer-order derivatives to fractional-order derivatives with specific order values (e.g., 0.5, 0.8, 1.0), allowing the model to capture complex migration behaviors including tailing phenomena while maintaining a relatively simple model structure. This parameter transformation enables precise characterization of dissolved organic matter migration without requiring overly complex model architecture.
2Adaptability or versatility
If a single-stage truncated fractional order derivative model is used, then the model structure is simple, but the adaptability to characterize dissolved organic matter distribution under varying flow conditions (base flow vs. incoming flow) is insufficient
Solution Approach 1:
The patent segments the transport model into multiple independent stages (base flow stage and incoming flow stage), each with its own truncated fractional order derivative parameters. This segmentation allows the model to independently characterize dissolved organic matter distribution under different flow conditions, significantly improving adaptability while keeping each individual stage relatively simple in structure.
Solution Approach 2:
The patent introduces dynamic switching between different flow stages (base flow and incoming flow) based on real-time hydrological conditions. The model dynamically adjusts which stage's parameters are active, enabling it to adapt to varying flow conditions without requiring a completely complex reconfiguration of the entire model structure.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The model effectively simulates the transport and distribution of dissolved organic matters, assessing their influence on aquatic habitats and improving the river's ability to clean up pollution by accurately capturing the effects of sudden changes in incoming flows.
Implementation Method 1
Truncated fractional order derivatives are able to characterize historical memory of a particle movement process
Implementation Method 2
a migration process of the dissolved organic matters does not conform to Gaussian distribution
Implementation Method 3
a classical convective-diffusive equation
Implementation Method 4
a physical adsorption ratio biodegradation process of the dissolved organic matters
Implementation Method 5
a physical adsorption ratio biodegradation process of the dissolved organic matters
Implementation Method 6
an upstream incoming flow process, a rainfall and other incoming flow changes have great influences on dissolved organic matter distribution
Data Source
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AI summary
The present invention discloses a method and apparatus for constructing a transport model for dissolved organic matters in a river, and a predicting method and apparatus. The method for constructing a transport model for dissolved organic matters in a river includes: acquiring first environmental parameters and first dissolved organic matter concentrations in a target river in a base flow stage and an incoming flow stage; determining a first dissolved organic matter transport mechanism in the target river according to the first environmental parameters and the first dissolved organic matter concentrations; and constructing a dissolved organic matter transport model, for dissolved organic matters in the target river in the base flow stage and the incoming flow stage, based on the first dissolved organic matter transport mechanism. The dissolved organic matter transport model constructed in the present invention can be used, for the dissolved organic matters in the river under a dynamic condition of a sudden change in an incoming flow, to assist in assessing the influence of incoming water, such as rainfall or flood discharge, on the distribution of organic matters in aquatic habitats in the river.