Bank Filtration as Natural Filtration

2011 ◽  
pp. 93-158 ◽  
Author(s):  
Chittaranjan Ray ◽  
Jay Jasperse ◽  
Thomas Grischek
Keyword(s):  
Bank Filtration ◽  
Natural Filtration

Ability of bank filtration to remove cyanotoxins under different levels of nutrients

2021 ◽  
Author(s):  
Luke Walkenhorst ◽  
Saptashati Biswas ◽  
Chittaranjan Ray ◽  
Matteo D’Alessio
Keyword(s):  
Bank Filtration ◽  
Different Levels

scholarly journals Path homology theory of edge-colored graphs

2021 ◽  
Vol 19 (1) ◽  
pp. 706-723
Author(s):  
Yuri V. Muranov ◽  
Anna Szczepkowska
Keyword(s):  
Spectral Sequence ◽  
Edge Coloring ◽  
Homology Theory ◽  
Homotopy Category ◽  
Homology Groups ◽  
Colored Graphs ◽  
Natural Filtration ◽  
Definition Of ◽  
Exact Sequences

Abstract In this paper, we introduce the category and the homotopy category of edge-colored digraphs and construct the functorial homology theory on the foundation of the path homology theory provided by Grigoryan, Muranov, and Shing-Tung Yau. We give the construction of the path homology theory for edge-colored graphs that follows immediately from the consideration of natural functor from the category of graphs to the subcategory of symmetrical digraphs. We describe the natural filtration of path homology groups of any digraph equipped with edge coloring, provide the definition of the corresponding spectral sequence, and obtain commutative diagrams and braids of exact sequences.

Bank filtration: a suitable process for the removal of iodinated X-ray contrast media?

2004 ◽  
Vol 50 (5) ◽  
pp. 261-268 ◽  
Author(s):  
S. Schittko ◽  
A. Putschew ◽  
M. Jekel
Keyword(s):  
Drinking Water ◽  
Contrast Media ◽  
Surface Waters ◽  
Sampling Period ◽  
Transformation Products ◽  
Bank Filtration ◽  
Anoxic Conditions ◽  
X Ray ◽  
High Concentrations ◽  
Media Concentration

After bank filtration, effluent influenced surface waters are often used as raw drinking water. It is known that high concentrations of iodinated X-ray contrast media are detectable in such surface waters and thus, more knowledge about the behaviour of the contrast media during bank filtration is necessary and the subject of investigations in this study. The adsorbable organic iodine (AOI), four widely used iodinated X-ray contrast media and four possible transformation products were quantified in an influenced lake, five groundwater wells and a drinking water well. Under anoxic conditions the AOI as well as the concentration of the contrast media are decreased by bank filtration, whereby the AOI is decreased by 64% and the contrast media concentration can be reduced up to 95%, depending on the compound. In the raw drinking water the following average concentrations were determined: Iopromid <20 ng/L, Diatrizote 166 ng/L, Iopamidol 166 ng/L and Iohexol 34 ng/L. Instationary conditions during the sampling period indicate that, at least under anoxic conditions, a large part of the contrast media and transformation products, which are still iodinated, may be associated to colloids and/or humic material.

Breakthrough of cyanobacteria in bank filtration

2016 ◽  
Vol 102 ◽  
pp. 170-179 ◽  
Author(s):  
Pirooz Pazouki ◽  
Michèle Prévost ◽  
Natasha McQuaid ◽  
Benoit Barbeau ◽  
Marie-Laure de Boutray ◽  
...  
Keyword(s):  
Bank Filtration

scholarly journals Suitability Evaluation of River Bank Filtration along the Second Songhua River, China

Water ◽  
2016 ◽  
Vol 8 (5) ◽  
pp. 176 ◽  
Author(s):  
Lixue Wang ◽  
Xueyan Ye ◽  
Xinqiang Du
Keyword(s):  
Bank Filtration ◽  
Songhua River ◽  
River Bank ◽  
Suitability Evaluation ◽  
River Bank Filtration ◽  
The Second Songhua River

Stopping sets: Gamma-type results and hitting properties

1999 ◽  
Vol 31 (2) ◽  
pp. 355-366 ◽  
Author(s):  
Sergei Zuyev
Keyword(s):  
Point Process ◽  
Sampling Theorem ◽  
Random Sets ◽  
Scaling Properties ◽  
Stopping Sets ◽  
Stopping Set ◽  
Alternative Description ◽  
Natural Filtration ◽  
Random Figure ◽  
Optional Sampling Theorem

Recently in the paper by Møller and Zuyev (1996), the following Gamma-type result was established. Given n points of a homogeneous Poisson process defining a random figure, its volume is Γ(n,λ) distributed, where λ is the intensity of the process. In this paper we give an alternative description of the class of random sets for which the Gamma-type results hold. We show that it corresponds to the class of stopping sets with respect to the natural filtration of the point process with certain scaling properties. The proof uses the martingale technique for directed processes, in particular, an analogue of Doob's optional sampling theorem proved in Kurtz (1980). As well as being compact, this approach provides a new insight into the nature of geometrical objects constructed with respect to a Poisson point process. We show, in particular, that in this framework the probability that a point is covered by a stopping set does not depend on whether it is a point of the process or not.

scholarly journals Natural recovery of infiltration capacity in simulated bank filtration of highly turbid waters

2018 ◽  
Vol 147 ◽  
pp. 299-310 ◽  
Author(s):  
Juan Pablo Gutiérrez ◽  
Doris van Halem ◽  
Wim S.J. Uijttewaal ◽  
Efraín del Risco ◽  
Luuk C. Rietveld
Keyword(s):  
Bank Filtration ◽  
Infiltration Capacity ◽  
Natural Recovery ◽  
Turbid Waters

Bank filtration as managed surface-groundwater interaction

2009 ◽  
Vol 5 (2) ◽  
pp. 125 ◽  
Author(s):  
Thomas Grischek ◽  
Chittaranjan Ray
Keyword(s):  
Bank Filtration
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