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	<id>http://wiki.baw.de/en/index.php?action=history&amp;feed=atom&amp;title=Analytical_methods_%E2%80%93_Groundwater_flow</id>
	<title>Analytical methods – Groundwater flow - Revision history</title>
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	<updated>2026-05-15T03:10:46Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://wiki.baw.de/en/index.php?title=Analytical_methods_%E2%80%93_Groundwater_flow&amp;diff=15258&amp;oldid=prev</id>
		<title>127.0.0.1: The LinkTitles extension automatically added links to existing pages (&lt;a target=&quot;_blank&quot; rel=&quot;nofollow noreferrer noopener&quot; class=&quot;external free&quot; href=&quot;https://github.com/bovender/LinkTitles&quot;&gt;https://github.com/bovender/LinkTitles&lt;/a&gt;).</title>
		<link rel="alternate" type="text/html" href="http://wiki.baw.de/en/index.php?title=Analytical_methods_%E2%80%93_Groundwater_flow&amp;diff=15258&amp;oldid=prev"/>
		<updated>2022-10-21T10:19:17Z</updated>

		<summary type="html">&lt;p&gt;The LinkTitles extension automatically added links to existing pages (&amp;lt;a target=&amp;quot;_blank&amp;quot; rel=&amp;quot;nofollow noreferrer noopener&amp;quot; class=&amp;quot;external free&amp;quot; href=&amp;quot;https://github.com/bovender/LinkTitles&amp;quot;&amp;gt;https://github.com/bovender/LinkTitles&amp;lt;/a&amp;gt;).&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 10:19, 21 October 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A wide range of analytical solutions are available for calculating groundwater flow. These generally consist of one-dimensional mathematical-physical models with highly simplified model assumptions. Even so, in many cases analytical solutions are capable of describing groundwater flow problems with adequate accuracy. Examples include steady state, vertical-plane inflow to a ditch and steady state rotationally symmetrical inflow to a well under varying boundary conditions both for confined and unconfined flow based on the Dupuit assumptions. Groundwater seepage at excavation pits can be calculated for simple geometric situations and boundary conditions by superposition of well flows based on the multi-well equation by Forchheimer. Solutions for transient flows are available both for inflow to pits and for well flow. The best known is Theis&#039; well formula which is also used in the evaluation of pump tests. A compilation of analytical solutions for groundwater flow problems along with explanations of the basic assumptions and the mathematical derivations is provided e.g. by Odenwald et al. (2018).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A wide range of analytical solutions are available for calculating groundwater flow. These generally consist of one-dimensional mathematical-physical models with highly simplified &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;model&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;assumptions. Even so, in many cases analytical solutions are capable of describing groundwater flow problems with adequate accuracy. Examples include steady state, vertical-plane inflow to a ditch and steady state rotationally symmetrical inflow to a well under varying boundary conditions both for confined and unconfined flow based on the Dupuit assumptions. Groundwater seepage at excavation pits can be calculated for simple geometric situations and boundary conditions by superposition of well flows based on the multi-well equation by Forchheimer. Solutions for transient flows are available both for inflow to pits and for well flow. The best known is Theis&#039; well formula which is also used in the evaluation of pump tests. A compilation of analytical solutions for groundwater flow problems along with explanations of the basic assumptions and the mathematical derivations is provided e.g. by Odenwald et al. (2018).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;gallery&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;gallery&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;File:08_Grundwasserstroemung_01.jpg|Picture 1: Dam undercurrent in a semi-confined aquifer&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;File:08_Grundwasserstroemung_01.jpg|Picture 1: Dam undercurrent in a semi-confined aquifer&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>127.0.0.1</name></author>
	</entry>
	<entry>
		<id>http://wiki.baw.de/en/index.php?title=Analytical_methods_%E2%80%93_Groundwater_flow&amp;diff=14738&amp;oldid=prev</id>
		<title>BAWiki Glossar at 11:35, 1 April 2022</title>
		<link rel="alternate" type="text/html" href="http://wiki.baw.de/en/index.php?title=Analytical_methods_%E2%80%93_Groundwater_flow&amp;diff=14738&amp;oldid=prev"/>
		<updated>2022-04-01T11:35:08Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 11:35, 1 April 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A wide range of analytical solutions are available for calculating groundwater flow. These generally consist of one-dimensional mathematical-physical models with highly simplified model assumptions. Even so, in many cases analytical solutions are capable of describing groundwater flow problems with adequate accuracy. Examples include steady state, vertical-plane inflow to a ditch and steady state rotationally symmetrical inflow to a well under varying boundary conditions both for confined and unconfined flow based on the Dupuit assumptions. Groundwater seepage at excavation pits can be calculated for simple geometric situations and boundary conditions by superposition of well flows based on the multi-well equation by Forchheimer. Solutions for transient flows are available both for inflow to pits and for well flow. The best known is Theis&amp;#039; well formula which is also used in the evaluation of pump tests. A compilation of analytical solutions for groundwater flow problems along with explanations of the basic assumptions and the mathematical derivations is provided e.g. by Odenwald et al. (2018).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A wide range of analytical solutions are available for calculating groundwater flow. These generally consist of one-dimensional mathematical-physical models with highly simplified model assumptions. Even so, in many cases analytical solutions are capable of describing groundwater flow problems with adequate accuracy. Examples include steady state, vertical-plane inflow to a ditch and steady state rotationally symmetrical inflow to a well under varying boundary conditions both for confined and unconfined flow based on the Dupuit assumptions. Groundwater seepage at excavation pits can be calculated for simple geometric situations and boundary conditions by superposition of well flows based on the multi-well equation by Forchheimer. Solutions for transient flows are available both for inflow to pits and for well flow. The best known is Theis&amp;#039; well formula which is also used in the evaluation of pump tests. A compilation of analytical solutions for groundwater flow problems along with explanations of the basic assumptions and the mathematical derivations is provided e.g. by Odenwald et al. (2018).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;gallery&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;File:08_Grundwasserstroemung_01.jpg|Picture 1: Dam undercurrent in a semi-confined aquifer&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;File:08_Grundwasserstroemung_02.jpg|Picture 2: Multi-well system in an unconfined aquifer&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;File:08_Grundwasserstroemung_03.jpg|Picture 3: Well inflow in an unconfined aquifer&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;File:08_Grundwasserstroemung_04.jpg|picture 4: Groundwater potential assuming a constant extraction rate from the well and confined groundwater flow&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/gallery&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=== Literature ===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=== Literature ===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l9&quot;&gt;Line 9:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 15:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;----&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;----&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Overview]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Overview]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[de:Analytische Verfahren - Grundwasserströmung]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>BAWiki Glossar</name></author>
	</entry>
	<entry>
		<id>http://wiki.baw.de/en/index.php?title=Analytical_methods_%E2%80%93_Groundwater_flow&amp;diff=14732&amp;oldid=prev</id>
		<title>BAWiki Glossar: Created page with &quot;A wide range of analytical solutions are available for calculating groundwater flow. These generally consist of one-dimensional mathematical-physical models with highly simpli...&quot;</title>
		<link rel="alternate" type="text/html" href="http://wiki.baw.de/en/index.php?title=Analytical_methods_%E2%80%93_Groundwater_flow&amp;diff=14732&amp;oldid=prev"/>
		<updated>2022-03-25T09:40:54Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;A wide range of analytical solutions are available for calculating groundwater flow. These generally consist of one-dimensional mathematical-physical models with highly simpli...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;A wide range of analytical solutions are available for calculating groundwater flow. These generally consist of one-dimensional mathematical-physical models with highly simplified model assumptions. Even so, in many cases analytical solutions are capable of describing groundwater flow problems with adequate accuracy. Examples include steady state, vertical-plane inflow to a ditch and steady state rotationally symmetrical inflow to a well under varying boundary conditions both for confined and unconfined flow based on the Dupuit assumptions. Groundwater seepage at excavation pits can be calculated for simple geometric situations and boundary conditions by superposition of well flows based on the multi-well equation by Forchheimer. Solutions for transient flows are available both for inflow to pits and for well flow. The best known is Theis&amp;#039; well formula which is also used in the evaluation of pump tests. A compilation of analytical solutions for groundwater flow problems along with explanations of the basic assumptions and the mathematical derivations is provided e.g. by Odenwald et al. (2018).&lt;br /&gt;
&lt;br /&gt;
=== Literature ===&lt;br /&gt;
&lt;br /&gt;
Odenwald, B.; Hekel, U.; Thormann, H.: Kap. 9: Grundwasserströmung – Grundwasserhaltung. In: Witt, K.J. (Hrsg.): Grundbau-Taschenbuch, 8. Auflage, Teil 2: Geotechnische Verfahren, S. 635 - 819, Ernst &amp;amp; Sohn, Berlin, 2018.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
back to: [[Analytical methods]]&lt;br /&gt;
----&lt;br /&gt;
[[Overview]]&lt;/div&gt;</summary>
		<author><name>BAWiki Glossar</name></author>
	</entry>
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