{"id":1401,"date":"2026-05-12T21:47:46","date_gmt":"2026-05-12T21:47:46","guid":{"rendered":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/solution-exercise-11\/"},"modified":"2026-05-13T17:00:07","modified_gmt":"2026-05-13T17:00:07","slug":"solution-exercise-11","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/solution-exercise-11\/","title":{"raw":"Solution Exercise 11","rendered":"Solution Exercise 11"},"content":{"raw":"
\r\n
\r\n\r\nCurve match:<\/strong>\r\n\r\n<\/div>\r\n
\r\n\r\n\"\"\r\n\r\n<\/div>\r\n
\r\n\r\nVariables:<\/strong>\r\n\r\n<\/div>\r\n
\r\n
[latex]Q:\\ 100\\mathbf{\\ }\\frac{m^{3}}{d};0.00116\\ \\frac{m^{3}}{s}[\/latex]<\/blockquote>\r\n<\/div>\r\n
\r\n
[latex]r:\\ 20\\mathbf{\\ }m[\/latex]<\/blockquote>\r\n<\/div>\r\n
\r\n
[latex]b:20\\ m[\/latex]<\/blockquote>\r\n<\/div>\r\n
\r\n
[latex]t:\\ 1\\mathbf{\\ }\\min\\ (60\\ seconds)[\/latex]<\/blockquote>\r\n<\/div>\r\n
\r\n
[latex]s:\\ \\ 1\\mathbf{\\ }m[\/latex]<\/blockquote>\r\n<\/div>\r\n
\r\n
[latex]\\frac{1}{u}:\\ 18;\\ \\ \\ \\ \\ u = \\ 0.056[\/latex]<\/blockquote>\r\n<\/div>\r\n
\r\n
[latex]W(u):\\ 2.9[\/latex]<\/blockquote>\r\n<\/div>\r\n
\r\n
[latex]T\\ = \\ \\ \\frac{Q\\ \\ W(u)}{4\\ \\ \\pi\\ \\ s} = \\frac{0.00116\\ \\frac{{\\ \\ m}^{3}}{s}\\ (2.9)}{4\\ \\ \\pi\\ \\ 1\\ m} = \\ 0.000267\\frac{{\\ \\ m}^{2}\\ }{s}[\/latex]<\/blockquote>\r\n<\/div>\r\n
\r\n
[latex]S\\ = \\ \\frac{4\\ \\ T\\ \\ u\\ \\ t}{r^{2}} = \\ \\frac{(4)\\ 0.000267\\ \\frac{{\\ mt}^{2}\\ }{s}\\ \\ (0.056)\\ 60s}{{(20\\ m)}^{2}}[\/latex] = [latex]\\ {\\ 9.0x10}^{- 6}[\/latex]<\/blockquote>\r\n<\/div>\r\n
\r\n
[latex]K\\ = \\frac{T}{b} = \\frac{0.000267\\ \\frac{{\\ \\ m}^{2}\\ }{s}}{20\\ m}\\ = \\ 1.34\\ x\\ 10^{- 5}\\ \\frac{m\\ }{s}[\/latex]<\/blockquote>\r\n<\/div>\r\n
\r\n\r\n \r\n\r\nReturn to Exercise\u00a01<\/span><\/a>1<\/u><\/strong>\u2ba5\r\n\r\n<\/div>\r\n
\r\n\r\nReturn to where text linked to Exercise\u00a011<\/strong><\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n<\/div>","rendered":"
\n
\n

Curve match:<\/strong><\/p>\n<\/div>\n

\n

\"\"<\/p>\n<\/div>\n

\n

Variables:<\/strong><\/p>\n<\/div>\n

\n

[latex]Q:\\ 100\\mathbf{\\ }\\frac{m^{3}}{d};0.00116\\ \\frac{m^{3}}{s}[\/latex]<\/p><\/blockquote>\n<\/div>\n

\n

[latex]r:\\ 20\\mathbf{\\ }m[\/latex]<\/p><\/blockquote>\n<\/div>\n

\n

[latex]b:20\\ m[\/latex]<\/p><\/blockquote>\n<\/div>\n

\n

[latex]t:\\ 1\\mathbf{\\ }\\min\\ (60\\ seconds)[\/latex]<\/p><\/blockquote>\n<\/div>\n

\n

[latex]s:\\ \\ 1\\mathbf{\\ }m[\/latex]<\/p><\/blockquote>\n<\/div>\n

\n

[latex]\\frac{1}{u}:\\ 18;\\ \\ \\ \\ \\ u = \\ 0.056[\/latex]<\/p><\/blockquote>\n<\/div>\n

\n

[latex]W(u):\\ 2.9[\/latex]<\/p><\/blockquote>\n<\/div>\n

\n

[latex]T\\ = \\ \\ \\frac{Q\\ \\ W(u)}{4\\ \\ \\pi\\ \\ s} = \\frac{0.00116\\ \\frac{{\\ \\ m}^{3}}{s}\\ (2.9)}{4\\ \\ \\pi\\ \\ 1\\ m} = \\ 0.000267\\frac{{\\ \\ m}^{2}\\ }{s}[\/latex]<\/p><\/blockquote>\n<\/div>\n

\n

[latex]S\\ = \\ \\frac{4\\ \\ T\\ \\ u\\ \\ t}{r^{2}} = \\ \\frac{(4)\\ 0.000267\\ \\frac{{\\ mt}^{2}\\ }{s}\\ \\ (0.056)\\ 60s}{{(20\\ m)}^{2}}[\/latex] = [latex]\\ {\\ 9.0x10}^{- 6}[\/latex]<\/p><\/blockquote>\n<\/div>\n

\n

[latex]K\\ = \\frac{T}{b} = \\frac{0.000267\\ \\frac{{\\ \\ m}^{2}\\ }{s}}{20\\ m}\\ = \\ 1.34\\ x\\ 10^{- 5}\\ \\frac{m\\ }{s}[\/latex]<\/p><\/blockquote>\n<\/div>\n

\n

 <\/p>\n

Return to Exercise\u00a01<\/span><\/a>1<\/u><\/strong>\u2ba5<\/p>\n<\/div>\n

\n

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