{"id":609,"date":"2025-11-21T00:55:16","date_gmt":"2025-11-21T00:55:16","guid":{"rendered":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/?post_type=part&p=609"},"modified":"2026-08-01T14:32:42","modified_gmt":"2026-08-01T14:32:42","slug":"modifications-to-original-release","status":"publish","type":"part","link":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/part\/modifications-to-original-release\/","title":{"raw":"Modifications to Original Release","rendered":"Modifications to Original Release"},"content":{"raw":"
\r\n\r\nChanges from the Original Version to Version 2<\/u><\/strong>\r\n\r\n<\/div>\r\n
\r\n\r\nOriginal Version: September 18, 2023, Version 2: October 30, 2023\r\n\r\n<\/div>\r\n
\r\n\r\nPage numbers refer to the original PDF.\r\n\r\n<\/div>\r\n
\r\n\r\npage ii, added doi\r\n\r\n<\/div>\r\n
\r\n\r\npage xi, corrected 70 to 90\r\n\r\n<\/div>\r\n
\r\n\r\npage 153, Figure 87 changed the denominator from 200 to 2000 in the third expression of part a)\r\n\r\n<\/div>\r\n
\r\n\r\npage 196, changed t1 <\/sub><\/em>= time at head h2<\/sub><\/em> to t1 <\/sub><\/em>= time at head h1<\/sub><\/em>\r\n\r\n<\/div>\r\n
\r\n\r\nChanges from the Version 2 to Version 3<\/u><\/strong>\r\n\r\n<\/div>\r\n
\r\n\r\nVersion 3: March, 6, 2024\r\n\r\n<\/div>\r\n
\r\n\r\nPage numbers refer to the PDF of Version 2.\r\n\r\n<\/div>\r\n
\r\n\r\npage iii, corrected APA citation that was missing the third author\u2019s name\r\n\r\n<\/div>\r\n
\r\n\r\npage 98, a number of changes were made:\r\n\r\n<\/div>\r\n
\r\n
The content of the first 3 paragraphs including table and equations were changed from the following as shown in gray:<\/blockquote>\r\n<\/div>\r\n
\r\n
\r\n
Using the relationship f(r<\/em>\/B<\/em>) =\u00a01.7 = exp(r<\/em>\/B<\/em>)K0<\/sub><\/em>(r<\/em>\/B<\/em>), then from Figure 48<\/a>, the value between X\u00a0=\u00a01.5 and X\u00a0=\u00a02.0. The interpolation is shown below.<\/div><\/blockquote>\r\n<\/div>\r\n<\/colgroup>\r\n\r\n\r\n\r\n\r\n\r\n\r\n
\r\n
X<\/div><\/th>\r\n
\r\n
K0<\/sub>(x)<\/div><\/th>\r\n
\r\n
exp (x) K0<\/sub>(x)<\/div><\/th>\r\n<\/tr>\r\n<\/thead>\r\n
\r\n
1.5<\/div><\/td>\r\n
\r\n
0.21<\/div><\/td>\r\n
\r\n
0.96<\/div><\/td>\r\n<\/tr>\r\n
\r\n
1.7<\/div><\/td>\r\n
\r\n
0.17 (interpolated)<\/div><\/td>\r\n
\r\n
0.91 (interpolated)<\/div><\/td>\r\n<\/tr>\r\n
\r\n
2.0<\/div><\/td>\r\n
\r\n
0.11<\/div><\/td>\r\n
\r\n
0.84<\/div><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
\r\n
\r\n
Given that x<\/em> in Figure 48<\/a> equals r<\/em>\/B<\/em>, then r<\/em>\/B<\/em>=1.7, with the observation well located 75 m from the pumping well, then B<\/em> = 75\u00a0<\/em>m \/ 1.7 = 44.1\u00a0m. Now using Equation\u00a0(52)<\/a>.<\/div><\/blockquote>\r\n<\/div>\r\n
\r\n
\r\n\r\n[latex]T = \\frac{4250\\ \\frac{m^{3}}{d}\\ 0.17}{2\\ (3.14)\\ 3.7\\ m} = 31.1\\frac{m^{2}}{d}[\/latex]\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n
\r\n
S is then computed from Equation\u00a0(53)<\/a>.<\/div><\/blockquote>\r\n<\/div>\r\n
\r\n
\r\n\r\n[latex]S = \\frac{4\\ \\left( 31.1\\frac{m^{2}}{d} \\right)\\ 0.011d}{2\\ (75\\ m)\\ (44.1)} = 0.0002\\ = \\ 2x10^{- 4}[\/latex]\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n
to:<\/blockquote>\r\n<\/div>\r\n
\r\n
Using the relationship f(r<\/em>\/B<\/em>) =\u00a01.7 = exp(r<\/em>\/B<\/em>)K0<\/sub><\/em>(r<\/em>\/B<\/em>), then from Figure 48<\/a>, the value is between exp(x)K0<\/sub>(x)\u00a0=\u00a01.66 and exp(x)K0<\/sub>(x)\u00a0=\u00a01.75. The interpolation is shown below.<\/blockquote>\r\n<\/div>\r\n<\/colgroup>\r\n\r\n\r\n\r\n\r\n\r\n\r\n
x<\/th>\r\nK0<\/sub>(x)<\/th>\r\nexp (x) K0<\/sub>(x)<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
0.40<\/td>\r\n1.11<\/td>\r\n1.66<\/td>\r\n<\/tr>\r\n
0.37 (interpolated)<\/td>\r\n1.16 (interpolated)<\/td>\r\n1.7<\/td>\r\n<\/tr>\r\n
0.35<\/td>\r\n1.23<\/td>\r\n1.75<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
\r\n
Given that x<\/em> = 0.37\u00a0m, with the observation well located 75 m from the pumping well, then B<\/em> = 75\u00a0<\/em>m \/ 0.37 = 203\u00a0m. Now using Equation\u00a0(52)<\/a>.<\/blockquote>\r\n<\/div>\r\n
\r\n
\r\n\r\n[latex]T = \\frac{4250\\ \\frac{m^{3}}{d}\\ 1.16}{2\\ (3.14)\\ 3.7\\ m} = 212\\frac{m^{2}}{d}[\/latex]\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n
S is then computed from Equation\u00a0(53)<\/a>.<\/blockquote>\r\n<\/div>\r\n
\r\n
\r\n\r\n[latex]S = \\frac{4\\ \\left( 212\\ \\frac{m^{2}}{d} \\right)\\ 0.011d}{2\\ (75\\ m)\\ (203\\ m)} = 0.0003\\ = \\ 3x10^{- 4}[\/latex]\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n
In addition the calculation of K\u2019 was changed from the following as shown in gray:<\/blockquote>\r\n<\/div>\r\n
\r\n
\r\n\r\n[latex]K' = \\frac{31.1\\frac{m^{2}}{d}\\ 15\\ m}{(44.1m)^{2}} = 0.24\\frac{m}{d}[\/latex]\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n
to:<\/blockquote>\r\n<\/div>\r\n
\r\n
\r\n\r\n[latex]K' = \\frac{212\\frac{m^{2}}{d}\\ 15\\ m}{(203\\ m)^{2}} = 0.08\\frac{m}{d}[\/latex]\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n\r\npage 351, corrected format for Author\u2019s name and title\r\n\r\n<\/div>","rendered":"
\n

Changes from the Original Version to Version 2<\/u><\/strong><\/p>\n<\/div>\n

\n

Original Version: September 18, 2023, Version 2: October 30, 2023<\/p>\n<\/div>\n

\n

Page numbers refer to the original PDF.<\/p>\n<\/div>\n

\n

page ii, added doi<\/p>\n<\/div>\n

\n

page xi, corrected 70 to 90<\/p>\n<\/div>\n

\n

page 153, Figure 87 changed the denominator from 200 to 2000 in the third expression of part a)<\/p>\n<\/div>\n

\n

page 196, changed t1 <\/sub><\/em>= time at head h2<\/sub><\/em> to t1 <\/sub><\/em>= time at head h1<\/sub><\/em><\/p>\n<\/div>\n

\n

Changes from the Version 2 to Version 3<\/u><\/strong><\/p>\n<\/div>\n

\n

Version 3: March, 6, 2024<\/p>\n<\/div>\n

\n

Page numbers refer to the PDF of Version 2.<\/p>\n<\/div>\n

\n

page iii, corrected APA citation that was missing the third author\u2019s name<\/p>\n<\/div>\n

\n

page 98, a number of changes were made:<\/p>\n<\/div>\n

\n

The content of the first 3 paragraphs including table and equations were changed from the following as shown in gray:<\/p><\/blockquote>\n<\/div>\n

\n
\n
Using the relationship f(r<\/em>\/B<\/em>) =\u00a01.7 = exp(r<\/em>\/B<\/em>)K0<\/sub><\/em>(r<\/em>\/B<\/em>), then from Figure 48<\/a>, the value between X\u00a0=\u00a01.5 and X\u00a0=\u00a02.0. The interpolation is shown below.<\/div>\n<\/blockquote>\n<\/div>\n\n\n\n\n<\/colgroup>\n\n\n\n\n\n\n
\n
X<\/div>\n<\/th>\n
\n
K0<\/sub>(x)<\/div>\n<\/th>\n
\n
exp (x) K0<\/sub>(x)<\/div>\n<\/th>\n<\/tr>\n<\/thead>\n
\n
1.5<\/div>\n<\/td>\n
\n
0.21<\/div>\n<\/td>\n
\n
0.96<\/div>\n<\/td>\n<\/tr>\n
\n
1.7<\/div>\n<\/td>\n
\n
0.17 (interpolated)<\/div>\n<\/td>\n
\n
0.91 (interpolated)<\/div>\n<\/td>\n<\/tr>\n
\n
2.0<\/div>\n<\/td>\n
\n
0.11<\/div>\n<\/td>\n
\n
0.84<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n
\n
Given that x<\/em> in Figure 48<\/a> equals r<\/em>\/B<\/em>, then r<\/em>\/B<\/em>=1.7, with the observation well located 75 m from the pumping well, then B<\/em> = 75\u00a0<\/em>m \/ 1.7 = 44.1\u00a0m. Now using Equation\u00a0(52)<\/a>.<\/div>\n<\/blockquote>\n<\/div>\n
\n
\n

[latex]T = \\frac{4250\\ \\frac{m^{3}}{d}\\ 0.17}{2\\ (3.14)\\ 3.7\\ m} = 31.1\\frac{m^{2}}{d}[\/latex]<\/p>\n<\/div>\n<\/div>\n

\n
\n
S is then computed from Equation\u00a0(53)<\/a>.<\/div>\n<\/blockquote>\n<\/div>\n
\n
\n

[latex]S = \\frac{4\\ \\left( 31.1\\frac{m^{2}}{d} \\right)\\ 0.011d}{2\\ (75\\ m)\\ (44.1)} = 0.0002\\ = \\ 2x10^{- 4}[\/latex]<\/p>\n<\/div>\n<\/div>\n

\n

to:<\/p><\/blockquote>\n<\/div>\n

\n

Using the relationship f(r<\/em>\/B<\/em>) =\u00a01.7 = exp(r<\/em>\/B<\/em>)K0<\/sub><\/em>(r<\/em>\/B<\/em>), then from Figure 48<\/a>, the value is between exp(x)K0<\/sub>(x)\u00a0=\u00a01.66 and exp(x)K0<\/sub>(x)\u00a0=\u00a01.75. The interpolation is shown below.<\/p><\/blockquote>\n<\/div>\n\n\n\n\n<\/colgroup>\n\n\n\n\n\n\n
x<\/th>\nK0<\/sub>(x)<\/th>\nexp (x) K0<\/sub>(x)<\/th>\n<\/tr>\n<\/thead>\n
0.40<\/td>\n1.11<\/td>\n1.66<\/td>\n<\/tr>\n
0.37 (interpolated)<\/td>\n1.16 (interpolated)<\/td>\n1.7<\/td>\n<\/tr>\n
0.35<\/td>\n1.23<\/td>\n1.75<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

Given that x<\/em> = 0.37\u00a0m, with the observation well located 75 m from the pumping well, then B<\/em> = 75\u00a0<\/em>m \/ 0.37 = 203\u00a0m. Now using Equation\u00a0(52)<\/a>.<\/p><\/blockquote>\n<\/div>\n

\n
\n

[latex]T = \\frac{4250\\ \\frac{m^{3}}{d}\\ 1.16}{2\\ (3.14)\\ 3.7\\ m} = 212\\frac{m^{2}}{d}[\/latex]<\/p>\n<\/div>\n<\/div>\n

\n

S is then computed from Equation\u00a0(53)<\/a>.<\/p><\/blockquote>\n<\/div>\n

\n
\n

[latex]S = \\frac{4\\ \\left( 212\\ \\frac{m^{2}}{d} \\right)\\ 0.011d}{2\\ (75\\ m)\\ (203\\ m)} = 0.0003\\ = \\ 3x10^{- 4}[\/latex]<\/p>\n<\/div>\n<\/div>\n

\n

In addition the calculation of K\u2019 was changed from the following as shown in gray:<\/p><\/blockquote>\n<\/div>\n

\n
\n

[latex]K' = \\frac{31.1\\frac{m^{2}}{d}\\ 15\\ m}{(44.1m)^{2}} = 0.24\\frac{m}{d}[\/latex]<\/p>\n<\/div>\n<\/div>\n

\n

to:<\/p><\/blockquote>\n<\/div>\n

\n
\n

[latex]K' = \\frac{212\\frac{m^{2}}{d}\\ 15\\ m}{(203\\ m)^{2}} = 0.08\\frac{m}{d}[\/latex]<\/p>\n<\/div>\n<\/div>\n

\n

page 351, corrected format for Author\u2019s name and title<\/p>\n<\/div>\n","protected":false},"parent":0,"menu_order":27,"template":"","meta":{"pb_part_invisible":false,"pb_part_invisible_string":""},"contributor":[],"license":[],"class_list":["post-609","part","type-part","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/pressbooks\/v2\/parts\/609","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/pressbooks\/v2\/parts"}],"about":[{"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/wp\/v2\/types\/part"}],"version-history":[{"count":9,"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/pressbooks\/v2\/parts\/609\/revisions"}],"predecessor-version":[{"id":4159,"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/pressbooks\/v2\/parts\/609\/revisions\/4159"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/wp\/v2\/media?parent=609"}],"wp:term":[{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/wp\/v2\/contributor?post=609"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/wp\/v2\/license?post=609"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}