Stochastic dynamics: modeling solute transport in porous media
Most of the natural and biological phenomena such as solute transport in porous media exhibit variability which can not be modeled by using deterministic approaches. There is evidence in natural phenomena to suggest that some of the observations can not be explained by using the models which give de...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam Boston
Elsevier
2002
|
| Schriftenreihe: | North-Holland series in applied mathematics and mechanics
v. 44 |
| Schlagworte: | |
| Online-Zugang: | FLA01 Volltext Volltext |
| Zusammenfassung: | Most of the natural and biological phenomena such as solute transport in porous media exhibit variability which can not be modeled by using deterministic approaches. There is evidence in natural phenomena to suggest that some of the observations can not be explained by using the models which give deterministic solutions. Stochastic processes have a rich repository of objects which can be used to express the randomness inherent in the system and the evolution of the system over time. The attractiveness of the stochastic differential equations (SDE) and stochastic partial differential equations (SPDE) come from the fact that we can integrate the variability of the system along with the scientific knowledge pertaining to the system. One of the aims of this book is to explaim some useufl concepts in stochastic dynamics so that the scientists and engineers with a background in undergraduate differential calculus could appreciate the applicability and appropriateness of these developments in mathematics. The ideas are explained in an intuitive manner wherever possible with out compromising rigor. The solute transport problem in porous media saturated with water had been used as a natural setting to discuss the approaches based on stochastic dynamics. The work is also motivated by the need to have more sophisticated mathematical and computational frameworks to model the variability one encounters in natural and industrial systems. This book presents the ideas, models and computational solutions pertaining to a single problem: stochastic flow of contaminant transport in the saturated porous media such as that we find in underground aquifers. In attempting to solve this problem using stochastic concepts, different ideas and new concepts have been explored, and mathematical and computational frameworks have been developed in the process. Some of these concepts, arguments and mathematical and computational constructs are discussed in an intuititve manner in this book |
| Beschreibung: | Includes bibliographical references (pages 233-236) and index |
| Beschreibung: | 1 online resource (xii, 239 pages) illustrations |
| ISBN: | 9780444511027 0444511024 9780080541808 0080541801 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV046124021 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 190827s2002 |||| o||u| ||||||eng d | ||
| 020 | |a 9780444511027 |9 978-0-444-51102-7 | ||
| 020 | |a 0444511024 |9 0-444-51102-4 | ||
| 020 | |a 9780080541808 |9 978-0-08-054180-8 | ||
| 020 | |a 0080541801 |9 0-08-054180-1 | ||
| 035 | |a (ZDB-33-ESD)ocn162579211 | ||
| 035 | |a (OCoLC)162579211 | ||
| 035 | |a (DE-599)BVBBV046124021 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 082 | 0 | |a 620.1/16 |2 22 | |
| 100 | 1 | |a Kulasiri, Don |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Stochastic dynamics |b modeling solute transport in porous media |c Don Kulasiri and Wynand Verwoerd |
| 264 | 1 | |a Amsterdam |a Boston |b Elsevier |c 2002 | |
| 300 | |a 1 online resource (xii, 239 pages) |b illustrations | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a North-Holland series in applied mathematics and mechanics |v v. 44 | |
| 500 | |a Includes bibliographical references (pages 233-236) and index | ||
| 520 | |a Most of the natural and biological phenomena such as solute transport in porous media exhibit variability which can not be modeled by using deterministic approaches. There is evidence in natural phenomena to suggest that some of the observations can not be explained by using the models which give deterministic solutions. Stochastic processes have a rich repository of objects which can be used to express the randomness inherent in the system and the evolution of the system over time. The attractiveness of the stochastic differential equations (SDE) and stochastic partial differential equations (SPDE) come from the fact that we can integrate the variability of the system along with the scientific knowledge pertaining to the system. One of the aims of this book is to explaim some useufl concepts in stochastic dynamics so that the scientists and engineers with a background in undergraduate differential calculus could appreciate the applicability and appropriateness of these developments in mathematics. The ideas are explained in an intuitive manner wherever possible with out compromising rigor. The solute transport problem in porous media saturated with water had been used as a natural setting to discuss the approaches based on stochastic dynamics. The work is also motivated by the need to have more sophisticated mathematical and computational frameworks to model the variability one encounters in natural and industrial systems. This book presents the ideas, models and computational solutions pertaining to a single problem: stochastic flow of contaminant transport in the saturated porous media such as that we find in underground aquifers. In attempting to solve this problem using stochastic concepts, different ideas and new concepts have been explored, and mathematical and computational frameworks have been developed in the process. Some of these concepts, arguments and mathematical and computational constructs are discussed in an intuititve manner in this book | ||
| 650 | 7 | |a TECHNOLOGY & ENGINEERING / Material Science |2 bisacsh | |
| 650 | 7 | |a Fluid dynamics / Mathematical models |2 fast | |
| 650 | 7 | |a Porous materials / Permeability / Mathematical models |2 fast | |
| 650 | 7 | |a Stochastic processes |2 fast | |
| 650 | 7 | |a Transport theory / Mathematical models |2 fast | |
| 650 | 4 | |a Porous materials / Permeability / Mathematical models. Transport theory / Mathematical models. Fluid dynamics / Mathematical models. Stochastic processes | |
| 650 | 4 | |a Porous materials |x Permeability |x Mathematical models | |
| 650 | 4 | |a Transport theory |x Mathematical models | |
| 650 | 4 | |a Fluid dynamics |x Mathematical models | |
| 650 | 4 | |a Stochastic processes | |
| 700 | 1 | |a Verwoerd, Wynand S. |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u http://www.sciencedirect.com/science/book/9780444511027 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 856 | 4 | 0 | |u http://www.sciencedirect.com/science/bookseries/01675931/44 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-33-ESD | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-031504473 | ||
| 347 | |a text file |2 rda | ||
| 966 | e | |u http://www.sciencedirect.com/science/book/9780444511027 |l FLA01 |p ZDB-33-ESD |q FLA_PDA_ESD |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804180441631031296 |
|---|---|
| any_adam_object | |
| author | Kulasiri, Don |
| author_facet | Kulasiri, Don |
| author_role | aut |
| author_sort | Kulasiri, Don |
| author_variant | d k dk |
| building | Verbundindex |
| bvnumber | BV046124021 |
| collection | ZDB-33-ESD |
| ctrlnum | (ZDB-33-ESD)ocn162579211 (OCoLC)162579211 (DE-599)BVBBV046124021 |
| dewey-full | 620.1/16 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1/16 |
| dewey-search | 620.1/16 |
| dewey-sort | 3620.1 216 |
| dewey-tens | 620 - Engineering and allied operations |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04306nmm a2200529zcb4500</leader><controlfield tag="001">BV046124021</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">190827s2002 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780444511027</subfield><subfield code="9">978-0-444-51102-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0444511024</subfield><subfield code="9">0-444-51102-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780080541808</subfield><subfield code="9">978-0-08-054180-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0080541801</subfield><subfield code="9">0-08-054180-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-33-ESD)ocn162579211</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)162579211</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV046124021</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">620.1/16</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kulasiri, Don</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Stochastic dynamics</subfield><subfield code="b">modeling solute transport in porous media</subfield><subfield code="c">Don Kulasiri and Wynand Verwoerd</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Amsterdam</subfield><subfield code="a">Boston</subfield><subfield code="b">Elsevier</subfield><subfield code="c">2002</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xii, 239 pages)</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">North-Holland series in applied mathematics and mechanics</subfield><subfield code="v">v. 44</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 233-236) and index</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Most of the natural and biological phenomena such as solute transport in porous media exhibit variability which can not be modeled by using deterministic approaches. There is evidence in natural phenomena to suggest that some of the observations can not be explained by using the models which give deterministic solutions. Stochastic processes have a rich repository of objects which can be used to express the randomness inherent in the system and the evolution of the system over time. The attractiveness of the stochastic differential equations (SDE) and stochastic partial differential equations (SPDE) come from the fact that we can integrate the variability of the system along with the scientific knowledge pertaining to the system. One of the aims of this book is to explaim some useufl concepts in stochastic dynamics so that the scientists and engineers with a background in undergraduate differential calculus could appreciate the applicability and appropriateness of these developments in mathematics. The ideas are explained in an intuitive manner wherever possible with out compromising rigor. The solute transport problem in porous media saturated with water had been used as a natural setting to discuss the approaches based on stochastic dynamics. The work is also motivated by the need to have more sophisticated mathematical and computational frameworks to model the variability one encounters in natural and industrial systems. This book presents the ideas, models and computational solutions pertaining to a single problem: stochastic flow of contaminant transport in the saturated porous media such as that we find in underground aquifers. In attempting to solve this problem using stochastic concepts, different ideas and new concepts have been explored, and mathematical and computational frameworks have been developed in the process. Some of these concepts, arguments and mathematical and computational constructs are discussed in an intuititve manner in this book</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">TECHNOLOGY & ENGINEERING / Material Science</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Fluid dynamics / Mathematical models</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Porous materials / Permeability / Mathematical models</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Stochastic processes</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Transport theory / Mathematical models</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Porous materials / Permeability / Mathematical models. Transport theory / Mathematical models. Fluid dynamics / Mathematical models. Stochastic processes</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Porous materials</subfield><subfield code="x">Permeability</subfield><subfield code="x">Mathematical models</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Transport theory</subfield><subfield code="x">Mathematical models</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fluid dynamics</subfield><subfield code="x">Mathematical models</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stochastic processes</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Verwoerd, Wynand S.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.sciencedirect.com/science/book/9780444511027</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.sciencedirect.com/science/bookseries/01675931/44</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-33-ESD</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-031504473</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="2">rda</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://www.sciencedirect.com/science/book/9780444511027</subfield><subfield code="l">FLA01</subfield><subfield code="p">ZDB-33-ESD</subfield><subfield code="q">FLA_PDA_ESD</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV046124021 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:35:49Z |
| institution | BVB |
| isbn | 9780444511027 0444511024 9780080541808 0080541801 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031504473 |
| oclc_num | 162579211 |
| open_access_boolean | |
| physical | 1 online resource (xii, 239 pages) illustrations |
| psigel | ZDB-33-ESD ZDB-33-ESD FLA_PDA_ESD |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Elsevier |
| record_format | marc |
| series2 | North-Holland series in applied mathematics and mechanics |
| spelling | Kulasiri, Don Verfasser aut Stochastic dynamics modeling solute transport in porous media Don Kulasiri and Wynand Verwoerd Amsterdam Boston Elsevier 2002 1 online resource (xii, 239 pages) illustrations txt rdacontent c rdamedia cr rdacarrier North-Holland series in applied mathematics and mechanics v. 44 Includes bibliographical references (pages 233-236) and index Most of the natural and biological phenomena such as solute transport in porous media exhibit variability which can not be modeled by using deterministic approaches. There is evidence in natural phenomena to suggest that some of the observations can not be explained by using the models which give deterministic solutions. Stochastic processes have a rich repository of objects which can be used to express the randomness inherent in the system and the evolution of the system over time. The attractiveness of the stochastic differential equations (SDE) and stochastic partial differential equations (SPDE) come from the fact that we can integrate the variability of the system along with the scientific knowledge pertaining to the system. One of the aims of this book is to explaim some useufl concepts in stochastic dynamics so that the scientists and engineers with a background in undergraduate differential calculus could appreciate the applicability and appropriateness of these developments in mathematics. The ideas are explained in an intuitive manner wherever possible with out compromising rigor. The solute transport problem in porous media saturated with water had been used as a natural setting to discuss the approaches based on stochastic dynamics. The work is also motivated by the need to have more sophisticated mathematical and computational frameworks to model the variability one encounters in natural and industrial systems. This book presents the ideas, models and computational solutions pertaining to a single problem: stochastic flow of contaminant transport in the saturated porous media such as that we find in underground aquifers. In attempting to solve this problem using stochastic concepts, different ideas and new concepts have been explored, and mathematical and computational frameworks have been developed in the process. Some of these concepts, arguments and mathematical and computational constructs are discussed in an intuititve manner in this book TECHNOLOGY & ENGINEERING / Material Science bisacsh Fluid dynamics / Mathematical models fast Porous materials / Permeability / Mathematical models fast Stochastic processes fast Transport theory / Mathematical models fast Porous materials / Permeability / Mathematical models. Transport theory / Mathematical models. Fluid dynamics / Mathematical models. Stochastic processes Porous materials Permeability Mathematical models Transport theory Mathematical models Fluid dynamics Mathematical models Stochastic processes Verwoerd, Wynand S. Sonstige oth http://www.sciencedirect.com/science/book/9780444511027 Verlag URL des Erstveröffentlichers Volltext http://www.sciencedirect.com/science/bookseries/01675931/44 Verlag URL des Erstveröffentlichers Volltext text file rda |
| spellingShingle | Kulasiri, Don Stochastic dynamics modeling solute transport in porous media TECHNOLOGY & ENGINEERING / Material Science bisacsh Fluid dynamics / Mathematical models fast Porous materials / Permeability / Mathematical models fast Stochastic processes fast Transport theory / Mathematical models fast Porous materials / Permeability / Mathematical models. Transport theory / Mathematical models. Fluid dynamics / Mathematical models. Stochastic processes Porous materials Permeability Mathematical models Transport theory Mathematical models Fluid dynamics Mathematical models Stochastic processes |
| title | Stochastic dynamics modeling solute transport in porous media |
| title_auth | Stochastic dynamics modeling solute transport in porous media |
| title_exact_search | Stochastic dynamics modeling solute transport in porous media |
| title_full | Stochastic dynamics modeling solute transport in porous media Don Kulasiri and Wynand Verwoerd |
| title_fullStr | Stochastic dynamics modeling solute transport in porous media Don Kulasiri and Wynand Verwoerd |
| title_full_unstemmed | Stochastic dynamics modeling solute transport in porous media Don Kulasiri and Wynand Verwoerd |
| title_short | Stochastic dynamics |
| title_sort | stochastic dynamics modeling solute transport in porous media |
| title_sub | modeling solute transport in porous media |
| topic | TECHNOLOGY & ENGINEERING / Material Science bisacsh Fluid dynamics / Mathematical models fast Porous materials / Permeability / Mathematical models fast Stochastic processes fast Transport theory / Mathematical models fast Porous materials / Permeability / Mathematical models. Transport theory / Mathematical models. Fluid dynamics / Mathematical models. Stochastic processes Porous materials Permeability Mathematical models Transport theory Mathematical models Fluid dynamics Mathematical models Stochastic processes |
| topic_facet | TECHNOLOGY & ENGINEERING / Material Science Fluid dynamics / Mathematical models Porous materials / Permeability / Mathematical models Stochastic processes Transport theory / Mathematical models Porous materials / Permeability / Mathematical models. Transport theory / Mathematical models. Fluid dynamics / Mathematical models. Stochastic processes Porous materials Permeability Mathematical models Transport theory Mathematical models Fluid dynamics Mathematical models |
| url | http://www.sciencedirect.com/science/book/9780444511027 http://www.sciencedirect.com/science/bookseries/01675931/44 |
| work_keys_str_mv | AT kulasiridon stochasticdynamicsmodelingsolutetransportinporousmedia AT verwoerdwynands stochasticdynamicsmodelingsolutetransportinporousmedia |