Deriving analytical expressions of the spatial information entropy index on riverine water quality dynamics

Pang, Tianrui1,2; Jiang, Jiping2; Alfonso, Leonardo3; Yang, Ruiyi2; Zheng, Yi2; Wang, Peng1; Zheng, Tong1

2023-08-01

10.1016/j.jhydrol.2023.129806

JOURNAL OF HYDROLOGY   影响因子和分区

0022-1694

1879-2707

Information entropy theory has been largely applied in hydrology and water resource engineering. Recently, entropy theory has received significant attention for describing reactive solute mixing and transport processes in ground water and surface water and for its applications in water quality management. However, analytical expressions of the entropy index of riverine water quality dynamics are often not included in the literature. In this study, the analytical expressions of the spatial information entropy index (Gx) in the 1D steady-state transport process under full-extent observation and tracking observations are derived after the definition of the system boundary and probability space. The expressions of Gx were successfully validated by field data from two tracer experiments, and the different characteristics of Gx under different riverine hydraulic situations were uncovered. The formula of Gx shows a reasonable linkage with the Peclet number (Pe) in hydrodynamics. This indicates that Gx is a physical quantity describing or linking to the real world more than a statistical index, and in practice, similar decision or management measurements based on entropy theory can be made for rivers with similar Pe conditions. Hydrologists will benefit in many ways from analytical expressions, such as theoretical analysis, quick calculation of the entropy index, preliminary engineering design, etc. A clearly defined example of maximum entropy time (tGmax) and its application in water quality evaluation, monitoring optimization and pollution source identification are demonstrated. These new findings will provide a convenient tool for catchment water quality management.

Analytical expression Information entropy Solute transport Tracer experiments Water quality dynamics

SCI ; EI

英语

通讯

National Natural Science Founda-tion of China[51979136] ; Open Project of State Key Labo-ratory of Urban Water Resource and Environment, Harbin Institute of Technology[ESK202208] ; Science, Technology and Innovation Commission of Shenzhen[JSGG20201103094600001]

Engineering ; Geology ; Water Resources

Engineering, Civil ; Geosciences, Multidisciplinary ; Water Resources

WOS:001027995500001

ELSEVIER

20232614287757

Decision theory ; Dynamics ; Groundwater ; Quality control ; Quality management ; River pollution ; Runoff ; Solute transport ; Water conservation ; Water management ; Water quality

Flood Control:442.1 ; Water Resources:444 ; Surface Water:444.1 ; Groundwater:444.2 ; Water Analysis:445.2 ; Water Pollution:453 ; Management:912.2 ; Quality Assurance and Control:913.3 ; Classical Physics; Quantum Theory; Relativity:931 ; Systems Science:961

ENGINEERING

Web of Science

1.Harbin Inst Technol, Sch Environm, State Key Lab Urban Water Resource & Environm, Harbin 150090, Peoples R China
2.Southern Univ Sci & Technol, Sch Environm Sci & Technol, Shenzhen 518055, Peoples R China
3.IHE Delft Inst Water Educ, Dept Hydroinformat & Sociotech Innovat, Westvest 7, NL-2611 AX Delft, Netherlands

Pang, Tianrui,Jiang, Jiping,Alfonso, Leonardo,et al. Deriving analytical expressions of the spatial information entropy index on riverine water quality dynamics[J]. JOURNAL OF HYDROLOGY,2023,623.

Pang, Tianrui.,Jiang, Jiping.,Alfonso, Leonardo.,Yang, Ruiyi.,Zheng, Yi.,...&Zheng, Tong.(2023).Deriving analytical expressions of the spatial information entropy index on riverine water quality dynamics.JOURNAL OF HYDROLOGY,623.

Pang, Tianrui,et al."Deriving analytical expressions of the spatial information entropy index on riverine water quality dynamics".JOURNAL OF HYDROLOGY 623(2023).