Numerical solute transport simulation using fuzzy sets approach

Dou, Chunhua; Woldt, Wayne; Bogárdi, István; Dahab, Mohamed F.

doi:10.1016/s0169-7722(96)00047-2

Cited by 90 publications

(31 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…But, former one is preferred by some researchers ( [19], [4], [20]) because of its simple shape. The triangular membership function is a special case of trapezoidal membership function, because in this case, at α =1, there is a single point rather than a flat line as in the trapezoidal function.…”

Section: Fuzzy Sets and Vertex Methodsmentioning

confidence: 99%

Uncertainty Analysis of Water Distribution Networks Using linked EPANET-Vertex Method

Kumar¹,

Prasad²,

mouli³

et al. 2014

IJIRSET

View full text Add to dashboard Cite

The analysis of hydraulic behaviour of the water distribution network (WDN) is forefront part of the planning and augmentation of any water supply projects. The desired output parameters such as pipe discharges, hydraulic gradient level (HGL) of nodes, nodal concentrations etc., are normally crisp values assuming crisp input parameters. There are many uncertainties in nodal demands, roughness, length, diameters of pipes, valve operations, water levels in reservoirs, head-discharge characteristics of pumps etc. So the results obtained by traditional method keeping the input parameters as crisp may not give satisfactory performance in practice. Hence taking care of this fact, pipe roughness has been considered as fuzzy parameter in this study. The vertex method has been used to obtain the ordered pair values of pipe roughness at each α-cut level. The hydraulic simulations are done by using EPANET 2 in MATLAB environment. The maximum and minimum values of pipe discharges, nodal HGLs are obtained in single simulation run for each α-cut level. The obtained results are compared with past studies and it is found that current method is effective to analyse the uncertainty problem. This study would help to the decision maker to identify the condition of pipes and consequently the corrective action needed.

show abstract

Section: Fuzzy Sets and Vertex Methodsmentioning

confidence: 99%

Uncertainty Analysis of Water Distribution Networks Using linked EPANET-Vertex Method

Kumar¹,

Prasad²,

mouli³

et al. 2014

IJIRSET

View full text Add to dashboard Cite

show abstract

“…Fuzzy set theory has been successfully applied in uncertainty analysis during the past decades (Dou et al, 1997;Freissinet et al, 1999;Li et al, 2003;Chen et al, 2003). Contrary to the classical set theory that describes each element either belongs to or does not belong to a set, a fuzzy set is characterized by a membership function, which represents numerically the degree to which an element belongs.…”

Section: Uncertainty Analysismentioning

confidence: 99%

Uncertainty Analysis for Distribution of Greenhouse Gases Concentration in Atmosphere

Luo

Yin

Huang³

et al. 2004

J ENV INFORM

View full text Add to dashboard Cite

ABSTRACT. Spatial distribution of greenhouse gases (GHGs) concentration in the atmosphere is important in determining the atmosphere's radioactive absorbtion and global warming. Reducing uncertainties in understanding the spatial distribution of GHGs concentration in the atmosphere have particular meaning in climate modeling and projection of future climate scenarios. In this study, the vertical distribution of GHGs concentration in the atmosphere is deduced and the relevant uncertainty is analyzed by a fuzzy set method. This method was applied in a case study to examine the vertical distribution of CO 2 concentration in the atmosphere. Results indicate that uncertainties in projection of GHGs emissions and global surface temperature have played important roles on vertical distribution of CO 2 concentration in the atmosphere. This has particular meaning for study of relation between CO 2 distribution and global warming.

show abstract

“…Dou et al (1997a) presented a transient model of an aquifer under pressure with vague parameters and compared the results of the arithmetic model with the analytical solution of Theis. Dou et al (1997b) presented a fuzzy logic model in dispersion problems. Teegavarapu and Simonovich (1999) performed modelling of the uncertainty in the reservoir loss functions using fuzzy sets.…”

Section: Introductionmentioning

confidence: 99%

Soil water management problems using fuzzy arithmetic

2013

Global NEST Journal

View full text Add to dashboard Cite

Drainage management problems are usually very hard to simulate due to the uncertainty of the hydraulic parameters involved. Fuzzy analysis is one of the available tools that can be used for such problems, involving uncertain data. A fuzzy analysis approach usually involves the consideration of several α-level cuts and an analytical approach or an explicit scheme approach for the PDE's discretization. Several application examples of this approach are listed in the literature, including uncertainty in hydraulic conductivity, specific yield, transmissivities, porosities, dispersivities, and deoxygenation rate coefficient. A methodology for the simulation of drainage problem having vague values of hydraulic parameters is introduced in this paper, and an analytical solution for a two-dimensional drainage application is presented. The two-dimensional problem of drainage is handled using fuzzy analysis by defining the hydraulic conductivity K as a triangular fuzzy number (TFN). The method of interval analysis is used in all the α-level cut examples. A solution is obtained using eleven α-level cuts and also solutions for two, three, and five α-level cuts are presented. Trials for different values of effective porosity are also performed. Finally conclusions on the necessary number of α-cuts utilized for drainage problems are drawn.

show abstract

Numerical solute transport simulation using fuzzy sets approach

Cited by 90 publications

References 31 publications

Uncertainty Analysis of Water Distribution Networks Using linked EPANET-Vertex Method

Uncertainty Analysis of Water Distribution Networks Using linked EPANET-Vertex Method

Uncertainty Analysis for Distribution of Greenhouse Gases Concentration in Atmosphere

Soil water management problems using fuzzy arithmetic

Contact Info

Product

Resources

About