{"id":444,"date":"2022-12-11T23:08:59","date_gmt":"2022-12-11T23:08:59","guid":{"rendered":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/chapter\/exercise-9\/"},"modified":"2023-01-14T19:49:34","modified_gmt":"2023-01-14T19:49:34","slug":"exercise-9","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/chapter\/exercise-9\/","title":{"raw":"Exercise 9","rendered":"Exercise 9"},"content":{"raw":"
\r\n
Part 1<\/h5>\r\n

What other aquifer types may have extremely large pores and high hydraulic conductivity, where water can flow at both laminar and turbulent flow conditions?<\/p>\r\n\r\n

Part 2<\/h5>\r\n

The average velocity, V<\/em>, for flow to a pumped well at different radial distances would be computed from the following equation.<\/p>\r\n\r\n\r\n\r\n\r\n
<\/td>\r\n[latex]\\displaystyle V=\\frac{Q}{2\\pi rb}[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n

where:<\/p>\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Q<\/em><\/td>\r\n=<\/td>\r\npumping rate (L3<\/sup>T\u22121<\/sup>)<\/td>\r\n<\/tr>\r\n
r<\/em><\/td>\r\n=<\/td>\r\nradial distance (L)<\/td>\r\n<\/tr>\r\n
b<\/em><\/td>\r\n=<\/td>\r\nthickness of the aquifer (L)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n

The table below shows data for some pumping wells in different aquifers. Calculate the average velocity for radial distances of 0.25, 0.5, 1, 5, and 10\u00a0m. Just looking at the equation, can you guess what happens to the average velocity as the radial distance increases or the thickness increases?<\/p>\r\n

Properties needed for calculation of average velocity for flow to a well and for calculation of the Reynolds Number.<\/p>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Aquifer type and hydraulic conductivity<\/strong><\/td>\r\nPumping Rate (m<\/strong>3<\/strong><\/sup>\/d<\/strong>)<\/td>\r\nThickness (m)<\/strong><\/td>\r\n<\/tr>\r\n
Alluvial aquifer, K<\/em>=10\u00a0m\/d, and average pore diameter 0.005\u00a0m<\/td>\r\n300<\/td>\r\n10<\/td>\r\n<\/tr>\r\n
same<\/td>\r\n300<\/td>\r\n50<\/td>\r\n<\/tr>\r\n
same<\/td>\r\n300<\/td>\r\n100<\/td>\r\n<\/tr>\r\n
Point Bar gravel aquifer, K<\/em>=100\u00a0m\/d and average pore diameter 0.02\u00a0m<\/td>\r\n1000<\/td>\r\n10<\/td>\r\n<\/tr>\r\n
same<\/td>\r\n1000<\/td>\r\n50<\/td>\r\n<\/tr>\r\n
same<\/td>\r\n1000<\/td>\r\n100<\/td>\r\n<\/tr>\r\n
Sandstone K<\/em>=1\u00a0m\/d and average pore diameter 0.001\u00a0m<\/td>\r\n100<\/td>\r\n10<\/td>\r\n<\/tr>\r\n
same<\/td>\r\n100<\/td>\r\n50<\/td>\r\n<\/tr>\r\n
same<\/td>\r\n100<\/td>\r\n100<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n

Click here for solution to <\/span>Exercise <\/span>9<\/span><\/a><\/p>\r\n

Return to where text linked to Exercise <\/span>9<\/span><\/a><\/p>\r\n\r\n<\/div>","rendered":"

\n
Part 1<\/h5>\n

What other aquifer types may have extremely large pores and high hydraulic conductivity, where water can flow at both laminar and turbulent flow conditions?<\/p>\n

Part 2<\/h5>\n

The average velocity, V<\/em>, for flow to a pumped well at different radial distances would be computed from the following equation.<\/p>\n\n\n\n
<\/td>\n\"\displaystyle V=\frac{Q}{2\pi rb}\"<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

where:<\/p>\n\n\n\n\n\n
Q<\/em><\/td>\n=<\/td>\npumping rate (L3<\/sup>T\u22121<\/sup>)<\/td>\n<\/tr>\n
r<\/em><\/td>\n=<\/td>\nradial distance (L)<\/td>\n<\/tr>\n
b<\/em><\/td>\n=<\/td>\nthickness of the aquifer (L)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

The table below shows data for some pumping wells in different aquifers. Calculate the average velocity for radial distances of 0.25, 0.5, 1, 5, and 10\u00a0m. Just looking at the equation, can you guess what happens to the average velocity as the radial distance increases or the thickness increases?<\/p>\n

Properties needed for calculation of average velocity for flow to a well and for calculation of the Reynolds Number.<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n
Aquifer type and hydraulic conductivity<\/strong><\/td>\nPumping Rate (m<\/strong>3<\/strong><\/sup>\/d<\/strong>)<\/td>\nThickness (m)<\/strong><\/td>\n<\/tr>\n
Alluvial aquifer, K<\/em>=10\u00a0m\/d, and average pore diameter 0.005\u00a0m<\/td>\n300<\/td>\n10<\/td>\n<\/tr>\n
same<\/td>\n300<\/td>\n50<\/td>\n<\/tr>\n
same<\/td>\n300<\/td>\n100<\/td>\n<\/tr>\n
Point Bar gravel aquifer, K<\/em>=100\u00a0m\/d and average pore diameter 0.02\u00a0m<\/td>\n1000<\/td>\n10<\/td>\n<\/tr>\n
same<\/td>\n1000<\/td>\n50<\/td>\n<\/tr>\n
same<\/td>\n1000<\/td>\n100<\/td>\n<\/tr>\n
Sandstone K<\/em>=1\u00a0m\/d and average pore diameter 0.001\u00a0m<\/td>\n100<\/td>\n10<\/td>\n<\/tr>\n
same<\/td>\n100<\/td>\n50<\/td>\n<\/tr>\n
same<\/td>\n100<\/td>\n100<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Click here for solution to <\/span>Exercise <\/span>9<\/span><\/a><\/p>\n

Return to where text linked to Exercise <\/span>9<\/span><\/a><\/p>\n<\/div>\n","protected":false},"author":1,"menu_order":33,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-444","chapter","type-chapter","status-publish","hentry"],"part":556,"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/chapters\/444","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/wp\/v2\/users\/1"}],"version-history":[{"count":6,"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/chapters\/444\/revisions"}],"predecessor-version":[{"id":884,"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/chapters\/444\/revisions\/884"}],"part":[{"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/parts\/556"}],"metadata":[{"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/chapters\/444\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/wp\/v2\/media?parent=444"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/chapter-type?post=444"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/wp\/v2\/contributor?post=444"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/wp\/v2\/license?post=444"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}