{"id":3013,"date":"2020-02-17T07:07:21","date_gmt":"2020-02-17T06:07:21","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=3013"},"modified":"2024-03-30T10:36:31","modified_gmt":"2024-03-30T09:36:31","slug":"how-to-calculate-and-solve-for-length-of-well-screen-water-budget","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2020\/02\/17\/how-to-calculate-and-solve-for-length-of-well-screen-water-budget\/","title":{"rendered":"How to Calculate and Solve for Length of Well Screen | Water Budget"},"content":{"rendered":"<p><img decoding=\"async\" class=\"alignnone size-full wp-image-3014\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/length-of-well-screen.png\" alt=\"\" width=\"255\" height=\"197\" \/><\/p>\n<p>The image above represents length of well screen. To calculate the length of well screen, three essential parameters are needed and these parameters are <strong>Maximum Expected Discharge Capacity of Well (Q<sub>o<\/sub>), Effective Open Area per Metre (A<sub>o<\/sub>) and Entrance Velocity at the Screen (V<sub>e<\/sub>).<\/strong><\/p>\n<p>The formula for calculating length of well screen:<\/p>\n<p>L =\u00a0<sup>Q<sub>o<\/sub><\/sup>\u00a0\/\u00a0<sub>A<sub>o<\/sub>V<sub>e<\/sub><\/sub><\/p>\n<p>Where:<\/p>\n<p>L = Length of Well Screen<br \/>\nQ<sub>o<\/sub>\u00a0= Maximum Expected Discharge Capacity of Well<br \/>\nA<sub>o<\/sub>\u00a0= Effective Open Area per Metre<br \/>\nV<sub>e<\/sub>\u00a0= Entrance Velocity at the Screen<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the length of well screen when the maximum expected discharge capacity of well is 12, the effective open area per metre is 24 and the entrance velocity at the screen is 18.<\/p>\n<p>This implies that;<\/p>\n<p>Q<sub>o<\/sub>\u00a0= Maximum Expected Discharge Capacity of Well<br \/>\nA<sub>o<\/sub>\u00a0= Effective Open Area per Metre<br \/>\nV<sub>e<\/sub>\u00a0= Entrance Velocity at the Screen<\/p>\n<p>L =\u00a0<sup>Q<sub>o<\/sub><\/sup>\u00a0\/\u00a0<sub>AoVe<\/sub><br \/>\nSo, L = <sup>12<\/sup>\u00a0\/\u00a0<sub>(24)(18)<\/sub><br \/>\nL =\u00a0<sup>12<\/sup>\u00a0\/\u00a0<sub>432<\/sub><br \/>\nL = 0.027<\/p>\n<p>Therefore, the\u00a0<strong>length of well screen\u00a0<\/strong>is\u00a0<strong>0.027.<\/strong><\/p>\n<h3><strong>Calculating the Maximum Expected Discharge Capacity of Well when the Length of Well Screen, the Effective Open Area per Metre and the Entrance Velocity at the Screen are Given<\/strong><\/h3>\n<p>Q<sub>o<\/sub> = L x (A<sub>o<\/sub>V<sub>e<\/sub>)<\/p>\n<p>Where;<\/p>\n<p>Q<sub>o<\/sub>\u00a0= Maximum Expected Discharge Capacity of Well<br \/>\nL = Length of Well Screen<br \/>\nA<sub>o<\/sub>\u00a0= Effective Open Area per Metre<br \/>\nV<sub>e<\/sub>\u00a0= Entrance Velocity at the Screen<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the maximum expected discharge capacity of well with a length of well screen as 21, effective open area per metre as 10 and entrance velocity at the screen as 5.<\/p>\n<p>This implies that;<\/p>\n<p>L = Length of Well Screen = 21<br \/>\nA<sub>o<\/sub> = Effective Open Area per Metre = 10<br \/>\nV<sub>e<\/sub> = Entrance Velocity at the Screen = 5<\/p>\n<p>Q<sub>o<\/sub> = L x (A<sub>o<\/sub>V<sub>e<\/sub>)<br \/>\nSo, Q<sub>o<\/sub> = 21 x (10 x 5)<br \/>\nQ<sub>o<\/sub> = 21 x 50<br \/>\nQ<sub>o<\/sub> = 1050<\/p>\n<p>Therefore, the\u00a0<strong>maximum expected discharge capacity of well\u00a0<\/strong>is\u00a0<strong>1050.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2020\/02\/16\/how-to-calculate-and-solve-for-entrance-velocity-darcys-law-water-budget\/\">How to Calculate and Solve for Entrance Velocity | Darcy&#8217;s Law | Water Budget<\/a><\/p>\n<h3><strong>Calculating the Effective Open Area per Metre when the Length of Well Screen, the Maximum Expected Discharge Capacity of Well and the Entrance Velocity at the Screen are Given<\/strong><\/h3>\n<p>A<sub>o<\/sub> = <sup>(<sup>Q<sub>o<\/sub><\/sup> \/ <sub>L<\/sub>)<\/sup> \/ <sub>V<sub>e<\/sub><\/sub><\/p>\n<p>Where;<\/p>\n<p>A<sub>o<\/sub>\u00a0= Effective Open Area per Metre<br \/>\nL = Length of Well Screen<br \/>\nQ<sub>o<\/sub>\u00a0= Maximum Expected Discharge Capacity of Well<br \/>\nV<sub>e<\/sub>\u00a0= Entrance Velocity at the Screen<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the Effective Open area per metre when the length of well screen is 15, the maximum expected discharge capacity of well is 30 and the entrance velocity at the screen is 3.<\/p>\n<p>This implies that;<\/p>\n<p>L = Length of Well Screen = 15<br \/>\nQ<sub>o<\/sub> = Maximum Expected Discharge Capacity of Well = 30<br \/>\nV<sub>e<\/sub> = Entrance Velocity at the Screen = 3<\/p>\n<p>A<sub>o<\/sub> = <sup>(<sup>Q<sub>o<\/sub><\/sup> \/ <sub>L<\/sub>)<\/sup> \/ <sub>V<sub>e<\/sub><\/sub><br \/>\nA<sub>o<\/sub> = <sup>(<sup>30<\/sup> \/ <sub>15<\/sub>)<\/sup> \/ <sub>3<\/sub><br \/>\nSo, A<sub>o<\/sub> = <sup>2<\/sup> \/ <sub>3<\/sub><br \/>\nA<sub>o<\/sub> = 0.67<\/p>\n<p>Therefore, the <strong>effective open area per metre<\/strong> is <strong>0.67.<\/strong><\/p>\n<h3><strong>Calculating the Entrance Velocity at the Screen when the Length of Well Screen, the Maximum Expected Discharge Capacity of Well and the Effective Open Area per Metre are Given<\/strong><\/h3>\n<p>V<sub>e<\/sub> = <sup>(<sup>Q<sub>o<\/sub><\/sup> \/ <sub>L<\/sub>)<\/sup> \/ <sub>A<sub>o<\/sub><\/sub><\/p>\n<p>Where;<\/p>\n<p>V<sub>e<\/sub>\u00a0= Entrance Velocity at the Screen<br \/>\nL = Length of Well Screen<br \/>\nQ<sub>o<\/sub>\u00a0= Maximum Expected Discharge Capacity of Well<br \/>\nA<sub>o<\/sub> = Effective Open Area per Metre<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nGiven that the length of well screen is 6, the maximum expected discharge capacity of well is 24 and the effective open area per metre is 2. Find the entrance velocity at the screen?<\/p>\n<p>This implies that;<\/p>\n<p>L = Length of Well Screen = 6<br \/>\nQ<sub>o<\/sub> = Maximum Expected Discharge Capacity of Well = 24<br \/>\nA<sub>o<\/sub> = Effective Open Area per Metre = 2<\/p>\n<p>V<sub>e<\/sub> = <sup>(<sup>Q<sub>o<\/sub><\/sup> \/ <sub>L<\/sub>)<\/sup> \/ <sub>A<sub>o<\/sub><\/sub><br \/>\nThen, V<sub>e<\/sub> = <sup>(<sup>24<\/sup> \/ <sub>6<\/sub>)<\/sup> \/ <sub>2<\/sub><br \/>\nV<sub>e<\/sub> = <sup>4<\/sup> \/ <sub>2<\/sub><br \/>\nV<sub>e<\/sub> = 2<\/p>\n<p>Therefore, the\u00a0<strong>entrance velocity\u00a0<\/strong>is\u00a0<strong>2.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2020\/02\/17\/how-to-calculate-and-solve-for-hydrostatic-pressure-of-a-dam-water-budget\/\">How to Calculate and Solve for Hydrostatic Pressure of a Dam | Water Budget<\/a><\/p>\n<h3><strong>How to Calculate and Solve for Length of Well Screen Using Nickzom Calculator<\/strong><\/h3>\n<p>Nickzom Calculator \u2013\u00a0<strong>The Calculator Encyclopedia<\/strong> is capable of calculating the length of well screen.<\/p>\n<p>To get the answer and workings of the length of well screen using the <strong>Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n<p>You can get this app via any of these means:<\/p>\n<p><strong>Web<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator-plus\">https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n<p>To get access to the\u00a0<strong>professional\u00a0<\/strong>version via web, you need to\u00a0<strong>register<\/strong>\u00a0and\u00a0<strong>subscribe\u00a0<\/strong>for<strong>\u00a0NGN 1,500\u00a0<\/strong>per<strong>\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.<br \/>\nYou can also try the\u00a0<strong>demo\u00a0<\/strong>version via\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator\">https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n<p><strong>Android (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a><br \/>\n<strong>Android (Free)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><br \/>\n<strong>Apple (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8\">https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><br \/>\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0<strong>Calculator Map,\u00a0<\/strong>then click on\u00a0<b>Agricultural\u00a0<\/b>under\u00a0<strong>Engineering<\/strong><strong>.<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-2946 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-1033.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-1033.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-1033-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-1033-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-1033-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on\u00a0<strong>Water Budget\u00a0<\/strong>under\u00a0<strong>Agricultural<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-2957 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1034.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1034.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1034-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1034-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1034-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on <strong>Length of Well Screen<\/strong><strong>\u00a0<\/strong>under\u00a0<strong>Water Budget<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-3033 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1074.png\" alt=\"How to Calculate and Solve for Length of Well Screen | Water Budget\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1074.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1074-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1074-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1074-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>The screenshot below displays the page or activity to enter your values, to get the answer for the length of well screen according to the respective parameters which are the <strong>Maximum Expected Discharge Capacity of Well (Q<sub>o<\/sub>), Effective Open Area per Metre (A<sub>o<\/sub>)<\/strong> and<strong> Entrance Velocity at the Screen (V<sub>e<\/sub>).<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-3032 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1075.png\" alt=\"How to Calculate and Solve for Length of Well Screen | Water Budget\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1075.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1075-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1075-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1075-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, enter the values appropriately and accordingly for the parameters as required by the <strong>Maximum Expected Discharge Capacity of Well (Q<sub>o<\/sub>)<\/strong> is <strong>12<\/strong>,<strong> Effective Open Area per Metre (A<sub>o<\/sub>)<\/strong> is <strong>24 <\/strong>and<strong> Entrance Velocity at the Screen (V<sub>e<\/sub>)<\/strong> is <strong>18<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-3031 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1076.png\" alt=\"How to Calculate and Solve for Length of Well Screen | Water Budget\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1076.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1076-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1076-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1076-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Finally, Click on Calculate<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-3030 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1077.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1077.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1077-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1077-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1077-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><br \/>\n<img decoding=\"async\" class=\"alignnone wp-image-3029 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1078.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1078.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1078-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1078-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/02\/Screenshot-1078-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>As you can see from the screenshot above,\u00a0<strong>Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the length of well screen and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents length of well screen. To calculate the length of well screen, three essential parameters&hellip;","protected":false},"author":5,"featured_media":13525,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":"","_members_access_role":[],"_members_access_error":""},"categories":[47],"tags":[828,84,856,60,857,858,855,87,827],"class_list":["post-3013","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-agricultural","tag-calculator-encyclopedia","tag-effective-open-area-per-metre","tag-engineering","tag-entrance-velocity-at-the-screen","tag-length-of-well-screen","tag-maximum-expected-discharge-capacity-of-well","tag-nickzom-calculator","tag-water-budget","cs-entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>How to Calculate and Solve for Length of Well Screen | Water Budget<\/title>\n<meta name=\"description\" content=\"Learn How to Calculate and Solve for Length of Well Screen | Water Budget. 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