{"id":1867,"date":"2026-02-14T04:29:07","date_gmt":"2026-02-14T04:29:07","guid":{"rendered":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/chapter\/ch100-xhtml\/"},"modified":"2026-08-01T12:05:08","modified_gmt":"2026-08-01T12:05:08","slug":"box-11-aqtesolv-solutions-to-exercises","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/chapter\/box-11-aqtesolv-solutions-to-exercises\/","title":{"raw":"Box 11 AQTESOLV Solutions to Exercises","rendered":"Box 11 AQTESOLV Solutions to Exercises"},"content":{"raw":"<div id=\"box-11-aqtesolv-solutions-to-exercises\" class=\"level1\">\r\n<div data-custom-style=\"First Paragraph\">\r\n<div data-custom-style=\"First Paragraph\">\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nThis box provides solutions to Exercises 2, 3, 5, and 7 using a standard version of AQTESOLV. The manual curve match and user fitted lines to semi\u2011log analyses presented in Section 21 <em>\u201cExercise Solutions<\/em>\u201d are compared with the results for the same problems generated using AQTESOLV. Once again, the three leading software developers provide free demonstration or trial versions.\r\n\r\n<\/div>\r\n<ul>\r\n \t<li>AQTESLOV (<a href=\"http:\/\/www.aqtesolv.com\/\">aqtesolv.com<\/a>\u2197)<\/li>\r\n \t<li>AquiferTest (<a href=\"https:\/\/www.waterloohydrogeologic.com\/download-trial\/\">waterloohydrogeologic.com\/download-trial\/\u2197)<\/a><\/li>\r\n \t<li>Aquiferwin32 (zip file that <a href=\"https:\/\/nam04.safelinks.protection.outlook.com\/?url=https%3A%2F%2Fbdb1718505d5652f22ed-002e5e9dce8f581dd16904a14c20d32c.ssl.cf1.rackcdn.com%2FAquiferWin32-64bit_09172020.zip&amp;data=05%7C01%7Cepoeter%40mines.edu%7C89707e050eca42b1a1f108db4329bcd4%7C997209e009b346239a4d76afa44a675c%7C0%7C0%7C638177619230641444%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C3000%7C%7C%7C&amp;sdata=PKjvDiAQgYQSrAeSdtYUnHYB%2FpfGZZi2pJ42DxKWLOc%3D&amp;reserved=0\">will download when this link is clicked<\/a>\u2197)<\/li>\r\n<\/ul>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nThese programs can be used to solve most, if not all, of the pumping test and slug test Exercises 2, 3, 5, and 7.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\nIn many agencies and businesses hydraulic test analyses are commonly completed using one or more of the three software packages discussed in this book (Section 13, Section 14.6, and Boxes 5, 6, and 7). The material presented in this box shows how the results of manual curve matching methods compare to analyses accomplished using AQTESOLV, as they are in the other two commercially available programs. When analyses of hydraulic test data sets are routinely required, it is suggested that one of the commercially available programs become part of your hydrogeologic toolbox.\r\n\r\n<\/div>\r\n<div id=\"box-11.1-aqtesolv-solution-for-exercise-2\" class=\"level3\">\r\n<h3>Box 11.1 AQTESOLV Solution for Exercise 2<\/h3>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nThe manual solution for Exercise 2 involves matching field data to Theis type curves as delineated in Section 21. This box provides images of the Exercise 2 solutions for part a, c, and d, using AQTESOLV, followed by a table comparing the manual and AQTESOLV results.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\nThe AQTESOLV <strong>i<\/strong>mage of match to the Theis solution for Observation well 1 at <em>r<\/em> = 66 m is shown in Figure Box\u00a011\u20111.\r\n\r\n<\/div>\r\n<div class=\"bc-figure figure\" data-custom-style=\"Captioned Figure\">\r\n\r\n<img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 4.65035in; height: 3.65517in;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/file183-6.jpg\" alt=\"Chart Description automatically generated\" \/>\r\n<div class=\"bc-figcaption figcaption\">\r\n<div data-custom-style=\"Image Caption\">\r\n<div class=\"figcaption-text\">\r\n\r\n<strong>Figure Box\u00a011\u20111<\/strong> AQTESOLV Theis solution for OW1 <em>r<\/em> = 66 m.\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\nThe AQTESOLV <strong>i<\/strong>mage of match to the Theis solution for Observation well 2 at <em>r<\/em> = 122 m is shown in Figure Box\u00a011\u20112.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n<img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 4.51724in; height: 3.55055in;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/file184-6.jpg\" alt=\"Chart Description automatically generated\" \/>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n<div class=\"figcaption-text\">\r\n\r\n<strong>Figure Box\u00a011\u20112<\/strong> AQTESOLV Theis solution for OW2 r = 122 m.\r\n\r\n<\/div>\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\nThe AQTESOLV <strong>i<\/strong>mage of match to the Theis solution for Observation well 3 at <em>r<\/em> = 244 m is shown in Figure Box\u00a011\u20113.\r\n\r\n<\/div>\r\n<div class=\"bc-figure figure\" data-custom-style=\"Captioned Figure\">\r\n\r\n<img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 5in; height: 3.81in;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/file185-6.jpg\" alt=\"A graph with lines and graphs Description automatically generated with low confidence\" \/>\r\n<div class=\"bc-figcaption figcaption\">\r\n<div data-custom-style=\"Image Caption\">\r\n<div class=\"figcaption-text\">\r\n\r\n<strong>Figure Box\u00a011\u20113<\/strong> AQTESOLV Theis solution for OW3 <em>r<\/em> = 244 m.\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\nThe AQTESOLV <strong>i<\/strong>mage for match to Cooper\u2011Jacob solution for Observation well 2 at <em>r<\/em> = 122 m is shown in Figure Box\u00a011\u20114.\r\n\r\n<\/div>\r\n<div class=\"bc-figure figure\" data-custom-style=\"Captioned Figure\">\r\n\r\n<img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 4.55844in; height: 3.69234in;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/file186-6.jpg\" alt=\"Chart, line chart Description automatically generated\" \/>\r\n<div class=\"bc-figcaption figcaption\">\r\n<div data-custom-style=\"Image Caption\">\r\n<div class=\"figcaption-text\">\r\n\r\n<strong>Figure Box\u00a011\u20114<\/strong> AQTESOLV Cooper\u2011Jacob solution for OW2 <em>r<\/em> = 122 m.\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\nThe AQTESOLV <strong>i<\/strong>mage for a distance\u2011drawdown solution at 100 minutes is shown in <img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 5in; height: 3.93in;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/file187-6.jpg\" alt=\"Chart Description automatically generated\" \/>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>\r\n<div class=\"figcaption-text\">\r\n\r\n<strong>Figure Box\u00a011\u20115<\/strong> AQTESOLV confined distance\u2011drawdown solution using OW1 <em>r<\/em> = 66 m., OW2 <em>r<\/em> = 122 m, OW3 <em>r<\/em> = 244 m at 100 minutes.\r\n\r\n<\/div><\/blockquote>\r\n<\/div>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nThe results obtained by manual and automated fitting are compared in Table\u00a0Box\u00a011\u20111.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>\r\n<div class=\"tabcaption-text\">\r\n\r\n<strong>Table\u00a0Box\u00a011\u20111 \u2011<\/strong> Comparison between results in <em>Solution Exercise 2<\/em> of Section 21 accomplished with hand\u2011fitted curve matching and AQTESOLV results.\r\n\r\n<\/div><\/blockquote>\r\n<\/div>\r\n<table style=\"width: 72%;\" data-custom-style=\"Table\"><colgroup> <col style=\"width: 20%;\" \/> <col style=\"width: 9%;\" \/> <col style=\"width: 13%;\" \/> <col style=\"width: 14%;\" \/> <col style=\"width: 14%;\" \/> <\/colgroup>\r\n<thead>\r\n<tr>\r\n<th><\/th>\r\n<th style=\"text-align: center;\" colspan=\"2\">Manual<\/th>\r\n<th style=\"text-align: center;\" colspan=\"2\">Automated<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td style=\"text-align: center;\"><em>T<\/em> m<sup>2<\/sup>d<sup>\u20111<\/sup><\/td>\r\n<td style=\"text-align: center;\"><em>S<\/em><\/td>\r\n<td style=\"text-align: center;\"><em>T<\/em> m<sup>2<\/sup>d<sup>\u20111<\/sup><\/td>\r\n<td style=\"text-align: center;\"><em>S<\/em><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Exercise 2<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Exercise 2a r = 66 m<\/td>\r\n<td style=\"text-align: center;\">165<\/td>\r\n<td style=\"text-align: center;\">3x10<sup>\u20115<\/sup><\/td>\r\n<td style=\"text-align: center;\">167<\/td>\r\n<td style=\"text-align: center;\">2.7x10<sup>\u20115<\/sup><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Exercise 2a r = 122 m<\/td>\r\n<td style=\"text-align: center;\">159<\/td>\r\n<td style=\"text-align: center;\">3x10<sup>\u20115<\/sup><\/td>\r\n<td style=\"text-align: center;\">172<\/td>\r\n<td style=\"text-align: center;\">2.4x10<sup>\u20115<\/sup><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Exercise 2a r = 244 m<\/td>\r\n<td style=\"text-align: center;\">165<\/td>\r\n<td style=\"text-align: center;\">2x10<sup>\u20115<\/sup><\/td>\r\n<td style=\"text-align: center;\">167<\/td>\r\n<td style=\"text-align: center;\">2.7x10<sup>\u20115<\/sup><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Exercise 2c r = 122 m<\/td>\r\n<td style=\"text-align: center;\">164<\/td>\r\n<td style=\"text-align: center;\">6x10<sup>\u20116<\/sup><\/td>\r\n<td style=\"text-align: center;\">168<\/td>\r\n<td style=\"text-align: center;\">2.7x10<sup>\u20115<\/sup><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Exercise 2d<\/td>\r\n<td style=\"text-align: center;\">163<\/td>\r\n<td style=\"text-align: center;\">3x10<sup>\u20115<\/sup><\/td>\r\n<td style=\"text-align: center;\">172<\/td>\r\n<td style=\"text-align: center;\">2.4x10<sup>\u20115<\/sup><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<div id=\"box-11.2-aqtesolv-solution-for-exercise-3-a-and-b\" class=\"level3\">\r\n<h3>Box 11.2 AQTESOLV Solution for Exercise 3 a and b<\/h3>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nThe manual solution for Exercise 3 involves matching field data to Hantush\u2011Cooper leaky aquifer type curves as delineated in Section 21. This box provides images of the Exercise 3 solution using AQTESOLV, followed by a table comparing the manual and AQTESOLV results.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\nThe AQTESOLV <strong>i<\/strong>mage of the Hantush\u2011Cooper leaky aquifer solution match to the field data Figure Box\u00a011\u20116.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Captioned Figure\">\r\n\r\n<img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 5.83333in; height: 3.3377in;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/file188-6.jpg\" alt=\"\" \/>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>\r\n<div class=\"figcaption-text\">\r\n\r\n<strong>Figure Box\u00a011\u20116 \u2011<\/strong> AQTESOLV Hantush\u2011Jacob solution for observation well data. Parameters calculated from the fit are shown in the upper right. Drawdown data computed and shown on left hand side of diagram.\r\n\r\n<\/div><\/blockquote>\r\n<\/div>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nNoting the discrepancy between the manual and automated results and knowing that it was difficult to read the <em>r<\/em>\/<em>B<\/em> value for the manual solution, AQTESOLV was used to generate type curves for <em>r<\/em>\/<em>B<\/em> from 0.02 to 3 and overlay the data on those curves as shown in Figure Box\u00a011\u20117. This made it much easier to determine the <em>r<\/em>\/<em>B<\/em> value.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Captioned Figure\">\r\n\r\n<img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 5in; height: 3.92in;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/file189-6.jpg\" alt=\"Chart Description automatically generated\" \/>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>\r\n<div class=\"figcaption-text\">\r\n\r\n<strong>Figure Box\u00a011\u20117 \u2011<\/strong> AQTESOLV Hantush\u2011Jacob solution for observation well data. In AQTESOLV an option to compute and show additional type curves for the chosen analysis method is available. Here values of <em>r<\/em>\/<em>B<\/em> between 0.02 and 3 were generated from the analytical solution. The automated curve matched <em>r<\/em>\/<em>B<\/em> value of 0.06069 is shown on this family of curves.\r\n\r\n<\/div><\/blockquote>\r\n<\/div>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nThe results obtained by manual and automated fitting are compared in Table\u00a0Box\u00a011\u20112.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>\r\n<div class=\"tabcaption-text\">\r\n\r\n<strong>Table\u00a0Box\u00a011\u20112 \u2011<\/strong> Comparison between results in <em>Solution Exercise 3<\/em> of Section 21 accomplished with hand\u2011fitted curve matching and AQTESOLV results.\r\n\r\n<\/div><\/blockquote>\r\n<\/div>\r\n<table style=\"width: 80%;\" data-custom-style=\"Table\"><colgroup> <col style=\"width: 15%;\" \/> <col style=\"width: 11%;\" \/> <col style=\"width: 12%;\" \/> <col style=\"width: 8%;\" \/> <col style=\"width: 12%;\" \/> <col style=\"width: 12%;\" \/> <col style=\"width: 7%;\" \/> <\/colgroup>\r\n<thead>\r\n<tr>\r\n<th style=\"text-align: left;\"><\/th>\r\n<th style=\"text-align: center;\" colspan=\"3\">Manual<\/th>\r\n<th style=\"text-align: center;\" colspan=\"3\">Automated<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td style=\"text-align: left;\">Exercise 3<\/td>\r\n<td style=\"text-align: center;\"><em>T<\/em> m<sup>2<\/sup>\/d<\/td>\r\n<td style=\"text-align: center;\"><em>S<\/em><\/td>\r\n<td style=\"text-align: center;\"><em>K\u2019<\/em> m\/d<\/td>\r\n<td style=\"text-align: center;\"><em>T<\/em> m<sup>2<\/sup>\/d<\/td>\r\n<td style=\"text-align: center;\"><em>S<\/em><\/td>\r\n<td style=\"text-align: center;\"><em>K\u2019<\/em> m\/d<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: left;\">OW = 23 m<\/td>\r\n<td style=\"text-align: center;\">32.5<\/td>\r\n<td style=\"text-align: center;\">1.2 x 10<sup>\u20114<\/sup>\r\n\r\n\u2248 1 x 10<sup>\u20114<\/sup><\/td>\r\n<td style=\"text-align: center;\">0.0066<\/td>\r\n<td style=\"text-align: center;\">36.8<\/td>\r\n<td style=\"text-align: center;\">9.8 x 10<sup>\u20115<\/sup>\r\n\r\n\u2248 1.0 x 10<sup>\u20114<\/sup><\/td>\r\n<td style=\"text-align: center;\">0.008*<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n*Computed outside of AQTESOLV using <em>r<\/em>\/<em>B<\/em> =0.06) as shown here.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n<div class=\"display-math\" data-custom-style=\"Display Equation\">\r\n\r\n[latex]K' = \\frac{Tb'\\left( \\frac{r}{B} \\right)^{2\\ }}{r^{2}} = \\frac{36.8\\ \\frac{m^{2}}{d}(30\\ m)(0.06)^{2\\ }}{{(23\\ m)}^{2}} = 0.008\\frac{m}{d}[\/latex]\r\n\r\n<\/div>\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\nThe Hantush\u2011Jacob visual curve matching and AQTESOLV results are similar. The application of either approach yields reasonable hydrogeologic values for this leaky confined aquifer data set.\r\n\r\n<\/div>\r\n<\/div>\r\n<div id=\"box-11.3-aqtesolv-solution-for-exercise-5\" class=\"level3\">\r\n<h3>Box 11.3 AQTESOLV Solution for Exercise 5<\/h3>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nThe manual solution for Exercise 5 involves analyzing a step drawdown test as delineated in Section 12. This box provides images of the Exercise 5 solution using AQTESOLV, followed by a table comparing the manual and AQTESOLV results. The AQTESOLV <strong>i<\/strong>mage of the analysis of the field data is presented in Figure Box\u00a011\u20118.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Captioned Figure\">\r\n\r\n<img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 5.05861in; height: 3.875in;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/file190-6.jpg\" alt=\"A picture containing text, line, diagram, plot Description automatically generated\" \/>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>\r\n<div class=\"figcaption-text\">\r\n\r\n<strong>Figure Box\u00a011\u20118<\/strong> AQTESOLV Theis solution variable pumping rate slug test analyses for a step drawdown test.\r\n\r\n<\/div><\/blockquote>\r\n<\/div>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nThe results obtained by manual and automated fitting are compared in Table\u00a0Box\u00a011\u20113.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>\r\n<div class=\"tabcaption-text\">\r\n\r\n<strong>Table\u00a0Box\u00a011\u20113 \u2011<\/strong> Comparison between results in <em>Solution Exercise 5<\/em> of Section 21 accomplished with manual analysis and AQTESOLV results.\r\n\r\n<\/div><\/blockquote>\r\n<\/div>\r\n<table style=\"width: 72%;\" data-custom-style=\"Table\"><colgroup> <col style=\"width: 15%;\" \/> <col style=\"width: 11%;\" \/> <col style=\"width: 12%;\" \/> <col style=\"width: 14%;\" \/> <col style=\"width: 17%;\" \/> <\/colgroup>\r\n<thead>\r\n<tr>\r\n<th style=\"text-align: left;\"><\/th>\r\n<th style=\"text-align: center;\" colspan=\"2\">Manual<\/th>\r\n<th style=\"text-align: center;\" colspan=\"2\">Automated<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td style=\"text-align: left;\">Exercise 5<\/td>\r\n<td style=\"text-align: center;\"><em>T<\/em> m<sup>2<\/sup>\/d<\/td>\r\n<td style=\"text-align: center;\"><em>C<\/em> d<sup>2<\/sup>\/m<sup>5<\/sup><\/td>\r\n<td style=\"text-align: center;\"><em>T<\/em> m<sup>2<\/sup>\/d<\/td>\r\n<td style=\"text-align: center;\"><em>C<\/em> d<sup>2<\/sup>\/m<sup>5<\/sup><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: left;\"><\/td>\r\n<td style=\"text-align: center;\">214<\/td>\r\n<td style=\"text-align: center;\">3.0x10<sup>\u20117<\/sup><\/td>\r\n<td style=\"text-align: center;\">443<\/td>\r\n<td style=\"text-align: center;\">4.8x10<sup>\u20117<\/sup> *<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n*conversion: (1.0 min<sup>2<\/sup>\/m<sup>5<\/sup>) (1 d \/ 1440 min)<sup>2<\/sup> = 4.8 x10<sup>\u20117<\/sup> d<sup>2<\/sup>\/m<sup>5<\/sup>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\nThe <em>T<\/em> value obtained using AQTESOLV is higher than that obtained using manual methods. The values of <em>C<\/em> are similar. Generally, in this case inputting the step drawdown data and letting AQTESOLV generate an estimate of <em>C<\/em>, <em>P<\/em>, <em>S<\/em>, and <em>T<\/em> yielded poor estimates. In order to obtain values of <em>C<\/em> similar to the manual solution of Exercise\u00a05, the range of parameter values were constrained including setting <em>P<\/em> (exponent of <em>C<\/em>) to 2 and limiting the maximum <em>S<\/em> value to 0.01. The generated <em>S<\/em> value is unreasonably high for a confined aquifer, however, constraining <em>S<\/em> to smaller values degraded the quality of fit to the data. In this case, careful analyses of model results are required to obtain reasonable values. It is recommended that manual analysis of step test data sets be performed before automated fitting. The manual analysis results serve as a check of the fitting program results.\r\n\r\n<\/div>\r\n<\/div>\r\n<div id=\"box-11.4-aqtesolv-solution-for-exercise-7\" class=\"level3\">\r\n<h3>Box 11.4 AQTESOLV Solution for Exercise 7<\/h3>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nThe manual solution for Exercise 7 involves analyzing a slug test as delineated in Section 14. This box provides images of the Exercise 7 solution using AQTESOLV, followed by a table comparing the manual and AQTESOLV results. The AQTESOLV <strong>i<\/strong>mage of the analysis of the field data is presented in Figure Box\u00a011\u20119.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Captioned Figure\">\r\n\r\n<img class=\"\" style=\"display: block; margin-left: auto; margin-right: auto; width: 461px; height: 372px;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/Figure-Box-11\u20119-AQTESOLV-slug-test-analysis.png\" alt=\"\" \/>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>\r\n<div class=\"figcaption-text\">\r\n\r\n<strong>Figure Box\u00a011\u20119<\/strong> AQTESOLV slug test analysis .\r\n\r\n<\/div><\/blockquote>\r\n<\/div>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nThe results obtained by manual and automated analysis are compared in Table\u00a0Box\u00a011\u20114.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>\r\n<div class=\"tabcaption-text\">\r\n\r\n<strong>Table\u00a0Box\u00a011\u20114 \u2011<\/strong> Comparison between results in <em>Solution Exercise 5<\/em> of Section 21 accomplished with manual analysis and AQTESOLV results.\r\n\r\n<\/div><\/blockquote>\r\n<\/div>\r\n<table style=\"width: 71%;\" data-custom-style=\"Table\"><colgroup> <col style=\"width: 24%;\" \/> <col style=\"width: 25%;\" \/> <col style=\"width: 21%;\" \/> <\/colgroup>\r\n<thead>\r\n<tr>\r\n<th style=\"text-align: center;\"><\/th>\r\n<th style=\"text-align: center;\">Manual<\/th>\r\n<th style=\"text-align: center;\">Automated<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td style=\"text-align: center;\">Exercise 7<\/td>\r\n<td style=\"text-align: center;\">K m\/d<\/td>\r\n<td style=\"text-align: center;\">K m\/d<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: center;\">using Equation\u00a0<a href=\"\/an-introduction-to-hydraulic-testing-in-hydrogeology\/chapter\/methods-to-interpret-overdamped-slug-tests\/#X7049ae633904bc03803ea6a19ae5c8e559c4bbf\">(107)<\/a><\/td>\r\n<td style=\"text-align: center;\">0.33<\/td>\r\n<td style=\"text-align: center;\">0.32<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: center;\">using Equation\u00a0<a href=\"\/an-introduction-to-hydraulic-testing-in-hydrogeology\/chapter\/methods-to-interpret-overdamped-slug-tests\/#X8e7e9c35bfc70514cd6bd2c20794974cd7bfe4d\">(108)<\/a><\/td>\r\n<td style=\"text-align: center;\">0.33<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div data-custom-style=\"Body Text\">\r\n\r\nThe Hvorslev hand fitted curve matching and AQTESOLV results are very similar. The application of either approach yields reasonable hydrogeologic values for this unconfined slug test data set.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n<a href=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/part\/18-exercises\/#TextLinkToBox11\">Return to where text linked to Box\u00a011<\/a>\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>","rendered":"<div id=\"box-11-aqtesolv-solutions-to-exercises\" class=\"level1\">\n<div data-custom-style=\"First Paragraph\">\n<div data-custom-style=\"First Paragraph\">\n<div data-custom-style=\"First Paragraph\">\n<p>This box provides solutions to Exercises 2, 3, 5, and 7 using a standard version of AQTESOLV. The manual curve match and user fitted lines to semi\u2011log analyses presented in Section 21 <em>\u201cExercise Solutions<\/em>\u201d are compared with the results for the same problems generated using AQTESOLV. Once again, the three leading software developers provide free demonstration or trial versions.<\/p>\n<\/div>\n<ul>\n<li>AQTESLOV (<a href=\"http:\/\/www.aqtesolv.com\/\">aqtesolv.com<\/a>\u2197)<\/li>\n<li>AquiferTest (<a href=\"https:\/\/www.waterloohydrogeologic.com\/download-trial\/\">waterloohydrogeologic.com\/download-trial\/\u2197)<\/a><\/li>\n<li>Aquiferwin32 (zip file that <a href=\"https:\/\/nam04.safelinks.protection.outlook.com\/?url=https%3A%2F%2Fbdb1718505d5652f22ed-002e5e9dce8f581dd16904a14c20d32c.ssl.cf1.rackcdn.com%2FAquiferWin32-64bit_09172020.zip&amp;data=05%7C01%7Cepoeter%40mines.edu%7C89707e050eca42b1a1f108db4329bcd4%7C997209e009b346239a4d76afa44a675c%7C0%7C0%7C638177619230641444%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C3000%7C%7C%7C&amp;sdata=PKjvDiAQgYQSrAeSdtYUnHYB%2FpfGZZi2pJ42DxKWLOc%3D&amp;reserved=0\">will download when this link is clicked<\/a>\u2197)<\/li>\n<\/ul>\n<div data-custom-style=\"First Paragraph\">\n<p>These programs can be used to solve most, if not all, of the pumping test and slug test Exercises 2, 3, 5, and 7.<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>In many agencies and businesses hydraulic test analyses are commonly completed using one or more of the three software packages discussed in this book (Section 13, Section 14.6, and Boxes 5, 6, and 7). The material presented in this box shows how the results of manual curve matching methods compare to analyses accomplished using AQTESOLV, as they are in the other two commercially available programs. When analyses of hydraulic test data sets are routinely required, it is suggested that one of the commercially available programs become part of your hydrogeologic toolbox.<\/p>\n<\/div>\n<div id=\"box-11.1-aqtesolv-solution-for-exercise-2\" class=\"level3\">\n<h3>Box 11.1 AQTESOLV Solution for Exercise 2<\/h3>\n<div data-custom-style=\"First Paragraph\">\n<p>The manual solution for Exercise 2 involves matching field data to Theis type curves as delineated in Section 21. This box provides images of the Exercise 2 solutions for part a, c, and d, using AQTESOLV, followed by a table comparing the manual and AQTESOLV results.<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>The AQTESOLV <strong>i<\/strong>mage of match to the Theis solution for Observation well 1 at <em>r<\/em> = 66 m is shown in Figure Box\u00a011\u20111.<\/p>\n<\/div>\n<div class=\"bc-figure figure\" data-custom-style=\"Captioned Figure\">\n<p><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 4.65035in; height: 3.65517in;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/file183-6.jpg\" alt=\"Chart Description automatically generated\" \/><\/p>\n<div class=\"bc-figcaption figcaption\">\n<div data-custom-style=\"Image Caption\">\n<div class=\"figcaption-text\">\n<p><strong>Figure Box\u00a011\u20111<\/strong> AQTESOLV Theis solution for OW1 <em>r<\/em> = 66 m.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>The AQTESOLV <strong>i<\/strong>mage of match to the Theis solution for Observation well 2 at <em>r<\/em> = 122 m is shown in Figure Box\u00a011\u20112.<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 4.51724in; height: 3.55055in;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/file184-6.jpg\" alt=\"Chart Description automatically generated\" \/><\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<div class=\"figcaption-text\">\n<p><strong>Figure Box\u00a011\u20112<\/strong> AQTESOLV Theis solution for OW2 r = 122 m.<\/p>\n<\/div>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>The AQTESOLV <strong>i<\/strong>mage of match to the Theis solution for Observation well 3 at <em>r<\/em> = 244 m is shown in Figure Box\u00a011\u20113.<\/p>\n<\/div>\n<div class=\"bc-figure figure\" data-custom-style=\"Captioned Figure\">\n<p><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 5in; height: 3.81in;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/file185-6.jpg\" alt=\"A graph with lines and graphs Description automatically generated with low confidence\" \/><\/p>\n<div class=\"bc-figcaption figcaption\">\n<div data-custom-style=\"Image Caption\">\n<div class=\"figcaption-text\">\n<p><strong>Figure Box\u00a011\u20113<\/strong> AQTESOLV Theis solution for OW3 <em>r<\/em> = 244 m.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>The AQTESOLV <strong>i<\/strong>mage for match to Cooper\u2011Jacob solution for Observation well 2 at <em>r<\/em> = 122 m is shown in Figure Box\u00a011\u20114.<\/p>\n<\/div>\n<div class=\"bc-figure figure\" data-custom-style=\"Captioned Figure\">\n<p><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 4.55844in; height: 3.69234in;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/file186-6.jpg\" alt=\"Chart, line chart Description automatically generated\" \/><\/p>\n<div class=\"bc-figcaption figcaption\">\n<div data-custom-style=\"Image Caption\">\n<div class=\"figcaption-text\">\n<p><strong>Figure Box\u00a011\u20114<\/strong> AQTESOLV Cooper\u2011Jacob solution for OW2 <em>r<\/em> = 122 m.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>The AQTESOLV <strong>i<\/strong>mage for a distance\u2011drawdown solution at 100 minutes is shown in <img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 5in; height: 3.93in;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/file187-6.jpg\" alt=\"Chart Description automatically generated\" \/><\/p>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote>\n<div class=\"figcaption-text\">\n<p><strong>Figure Box\u00a011\u20115<\/strong> AQTESOLV confined distance\u2011drawdown solution using OW1 <em>r<\/em> = 66 m., OW2 <em>r<\/em> = 122 m, OW3 <em>r<\/em> = 244 m at 100 minutes.<\/p>\n<\/div>\n<\/blockquote>\n<\/div>\n<div data-custom-style=\"First Paragraph\">\n<p>The results obtained by manual and automated fitting are compared in Table\u00a0Box\u00a011\u20111.<\/p>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote>\n<div class=\"tabcaption-text\">\n<p><strong>Table\u00a0Box\u00a011\u20111 \u2011<\/strong> Comparison between results in <em>Solution Exercise 2<\/em> of Section 21 accomplished with hand\u2011fitted curve matching and AQTESOLV results.<\/p>\n<\/div>\n<\/blockquote>\n<\/div>\n<table style=\"width: 72%;\" data-custom-style=\"Table\">\n<colgroup>\n<col style=\"width: 20%;\" \/>\n<col style=\"width: 9%;\" \/>\n<col style=\"width: 13%;\" \/>\n<col style=\"width: 14%;\" \/>\n<col style=\"width: 14%;\" \/> <\/colgroup>\n<thead>\n<tr>\n<th><\/th>\n<th style=\"text-align: center;\" colspan=\"2\">Manual<\/th>\n<th style=\"text-align: center;\" colspan=\"2\">Automated<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><\/td>\n<td style=\"text-align: center;\"><em>T<\/em> m<sup>2<\/sup>d<sup>\u20111<\/sup><\/td>\n<td style=\"text-align: center;\"><em>S<\/em><\/td>\n<td style=\"text-align: center;\"><em>T<\/em> m<sup>2<\/sup>d<sup>\u20111<\/sup><\/td>\n<td style=\"text-align: center;\"><em>S<\/em><\/td>\n<\/tr>\n<tr>\n<td>Exercise 2<\/td>\n<td style=\"text-align: center;\"><\/td>\n<td style=\"text-align: center;\"><\/td>\n<td style=\"text-align: center;\"><\/td>\n<td style=\"text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td>Exercise 2a r = 66 m<\/td>\n<td style=\"text-align: center;\">165<\/td>\n<td style=\"text-align: center;\">3&#215;10<sup>\u20115<\/sup><\/td>\n<td style=\"text-align: center;\">167<\/td>\n<td style=\"text-align: center;\">2.7&#215;10<sup>\u20115<\/sup><\/td>\n<\/tr>\n<tr>\n<td>Exercise 2a r = 122 m<\/td>\n<td style=\"text-align: center;\">159<\/td>\n<td style=\"text-align: center;\">3&#215;10<sup>\u20115<\/sup><\/td>\n<td style=\"text-align: center;\">172<\/td>\n<td style=\"text-align: center;\">2.4&#215;10<sup>\u20115<\/sup><\/td>\n<\/tr>\n<tr>\n<td>Exercise 2a r = 244 m<\/td>\n<td style=\"text-align: center;\">165<\/td>\n<td style=\"text-align: center;\">2&#215;10<sup>\u20115<\/sup><\/td>\n<td style=\"text-align: center;\">167<\/td>\n<td style=\"text-align: center;\">2.7&#215;10<sup>\u20115<\/sup><\/td>\n<\/tr>\n<tr>\n<td>Exercise 2c r = 122 m<\/td>\n<td style=\"text-align: center;\">164<\/td>\n<td style=\"text-align: center;\">6&#215;10<sup>\u20116<\/sup><\/td>\n<td style=\"text-align: center;\">168<\/td>\n<td style=\"text-align: center;\">2.7&#215;10<sup>\u20115<\/sup><\/td>\n<\/tr>\n<tr>\n<td>Exercise 2d<\/td>\n<td style=\"text-align: center;\">163<\/td>\n<td style=\"text-align: center;\">3&#215;10<sup>\u20115<\/sup><\/td>\n<td style=\"text-align: center;\">172<\/td>\n<td style=\"text-align: center;\">2.4&#215;10<sup>\u20115<\/sup><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div id=\"box-11.2-aqtesolv-solution-for-exercise-3-a-and-b\" class=\"level3\">\n<h3>Box 11.2 AQTESOLV Solution for Exercise 3 a and b<\/h3>\n<div data-custom-style=\"First Paragraph\">\n<p>The manual solution for Exercise 3 involves matching field data to Hantush\u2011Cooper leaky aquifer type curves as delineated in Section 21. This box provides images of the Exercise 3 solution using AQTESOLV, followed by a table comparing the manual and AQTESOLV results.<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>The AQTESOLV <strong>i<\/strong>mage of the Hantush\u2011Cooper leaky aquifer solution match to the field data Figure Box\u00a011\u20116.<\/p>\n<\/div>\n<div data-custom-style=\"Captioned Figure\">\n<p><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 5.83333in; height: 3.3377in;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/file188-6.jpg\" alt=\"\" \/><\/p>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote>\n<div class=\"figcaption-text\">\n<p><strong>Figure Box\u00a011\u20116 \u2011<\/strong> AQTESOLV Hantush\u2011Jacob solution for observation well data. Parameters calculated from the fit are shown in the upper right. Drawdown data computed and shown on left hand side of diagram.<\/p>\n<\/div>\n<\/blockquote>\n<\/div>\n<div data-custom-style=\"First Paragraph\">\n<p>Noting the discrepancy between the manual and automated results and knowing that it was difficult to read the <em>r<\/em>\/<em>B<\/em> value for the manual solution, AQTESOLV was used to generate type curves for <em>r<\/em>\/<em>B<\/em> from 0.02 to 3 and overlay the data on those curves as shown in Figure Box\u00a011\u20117. This made it much easier to determine the <em>r<\/em>\/<em>B<\/em> value.<\/p>\n<\/div>\n<div data-custom-style=\"Captioned Figure\">\n<p><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 5in; height: 3.92in;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/file189-6.jpg\" alt=\"Chart Description automatically generated\" \/><\/p>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote>\n<div class=\"figcaption-text\">\n<p><strong>Figure Box\u00a011\u20117 \u2011<\/strong> AQTESOLV Hantush\u2011Jacob solution for observation well data. In AQTESOLV an option to compute and show additional type curves for the chosen analysis method is available. Here values of <em>r<\/em>\/<em>B<\/em> between 0.02 and 3 were generated from the analytical solution. The automated curve matched <em>r<\/em>\/<em>B<\/em> value of 0.06069 is shown on this family of curves.<\/p>\n<\/div>\n<\/blockquote>\n<\/div>\n<div data-custom-style=\"First Paragraph\">\n<p>The results obtained by manual and automated fitting are compared in Table\u00a0Box\u00a011\u20112.<\/p>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote>\n<div class=\"tabcaption-text\">\n<p><strong>Table\u00a0Box\u00a011\u20112 \u2011<\/strong> Comparison between results in <em>Solution Exercise 3<\/em> of Section 21 accomplished with hand\u2011fitted curve matching and AQTESOLV results.<\/p>\n<\/div>\n<\/blockquote>\n<\/div>\n<table style=\"width: 80%;\" data-custom-style=\"Table\">\n<colgroup>\n<col style=\"width: 15%;\" \/>\n<col style=\"width: 11%;\" \/>\n<col style=\"width: 12%;\" \/>\n<col style=\"width: 8%;\" \/>\n<col style=\"width: 12%;\" \/>\n<col style=\"width: 12%;\" \/>\n<col style=\"width: 7%;\" \/> <\/colgroup>\n<thead>\n<tr>\n<th style=\"text-align: left;\"><\/th>\n<th style=\"text-align: center;\" colspan=\"3\">Manual<\/th>\n<th style=\"text-align: center;\" colspan=\"3\">Automated<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align: left;\">Exercise 3<\/td>\n<td style=\"text-align: center;\"><em>T<\/em> m<sup>2<\/sup>\/d<\/td>\n<td style=\"text-align: center;\"><em>S<\/em><\/td>\n<td style=\"text-align: center;\"><em>K\u2019<\/em> m\/d<\/td>\n<td style=\"text-align: center;\"><em>T<\/em> m<sup>2<\/sup>\/d<\/td>\n<td style=\"text-align: center;\"><em>S<\/em><\/td>\n<td style=\"text-align: center;\"><em>K\u2019<\/em> m\/d<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\">OW = 23 m<\/td>\n<td style=\"text-align: center;\">32.5<\/td>\n<td style=\"text-align: center;\">1.2 x 10<sup>\u20114<\/sup><\/p>\n<p>\u2248 1 x 10<sup>\u20114<\/sup><\/td>\n<td style=\"text-align: center;\">0.0066<\/td>\n<td style=\"text-align: center;\">36.8<\/td>\n<td style=\"text-align: center;\">9.8 x 10<sup>\u20115<\/sup><\/p>\n<p>\u2248 1.0 x 10<sup>\u20114<\/sup><\/td>\n<td style=\"text-align: center;\">0.008*<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div data-custom-style=\"Body Text\">\n<p>*Computed outside of AQTESOLV using <em>r<\/em>\/<em>B<\/em> =0.06) as shown here.<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<div class=\"display-math\" data-custom-style=\"Display Equation\">\n<p>[latex]K' = \\frac{Tb'\\left( \\frac{r}{B} \\right)^{2\\ }}{r^{2}} = \\frac{36.8\\ \\frac{m^{2}}{d}(30\\ m)(0.06)^{2\\ }}{{(23\\ m)}^{2}} = 0.008\\frac{m}{d}[\/latex]<\/p>\n<\/div>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>The Hantush\u2011Jacob visual curve matching and AQTESOLV results are similar. The application of either approach yields reasonable hydrogeologic values for this leaky confined aquifer data set.<\/p>\n<\/div>\n<\/div>\n<div id=\"box-11.3-aqtesolv-solution-for-exercise-5\" class=\"level3\">\n<h3>Box 11.3 AQTESOLV Solution for Exercise 5<\/h3>\n<div data-custom-style=\"First Paragraph\">\n<p>The manual solution for Exercise 5 involves analyzing a step drawdown test as delineated in Section 12. This box provides images of the Exercise 5 solution using AQTESOLV, followed by a table comparing the manual and AQTESOLV results. The AQTESOLV <strong>i<\/strong>mage of the analysis of the field data is presented in Figure Box\u00a011\u20118.<\/p>\n<\/div>\n<div data-custom-style=\"Captioned Figure\">\n<p><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 5.05861in; height: 3.875in;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/file190-6.jpg\" alt=\"A picture containing text, line, diagram, plot Description automatically generated\" \/><\/p>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote>\n<div class=\"figcaption-text\">\n<p><strong>Figure Box\u00a011\u20118<\/strong> AQTESOLV Theis solution variable pumping rate slug test analyses for a step drawdown test.<\/p>\n<\/div>\n<\/blockquote>\n<\/div>\n<div data-custom-style=\"First Paragraph\">\n<p>The results obtained by manual and automated fitting are compared in Table\u00a0Box\u00a011\u20113.<\/p>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote>\n<div class=\"tabcaption-text\">\n<p><strong>Table\u00a0Box\u00a011\u20113 \u2011<\/strong> Comparison between results in <em>Solution Exercise 5<\/em> of Section 21 accomplished with manual analysis and AQTESOLV results.<\/p>\n<\/div>\n<\/blockquote>\n<\/div>\n<table style=\"width: 72%;\" data-custom-style=\"Table\">\n<colgroup>\n<col style=\"width: 15%;\" \/>\n<col style=\"width: 11%;\" \/>\n<col style=\"width: 12%;\" \/>\n<col style=\"width: 14%;\" \/>\n<col style=\"width: 17%;\" \/> <\/colgroup>\n<thead>\n<tr>\n<th style=\"text-align: left;\"><\/th>\n<th style=\"text-align: center;\" colspan=\"2\">Manual<\/th>\n<th style=\"text-align: center;\" colspan=\"2\">Automated<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align: left;\">Exercise 5<\/td>\n<td style=\"text-align: center;\"><em>T<\/em> m<sup>2<\/sup>\/d<\/td>\n<td style=\"text-align: center;\"><em>C<\/em> d<sup>2<\/sup>\/m<sup>5<\/sup><\/td>\n<td style=\"text-align: center;\"><em>T<\/em> m<sup>2<\/sup>\/d<\/td>\n<td style=\"text-align: center;\"><em>C<\/em> d<sup>2<\/sup>\/m<sup>5<\/sup><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\"><\/td>\n<td style=\"text-align: center;\">214<\/td>\n<td style=\"text-align: center;\">3.0&#215;10<sup>\u20117<\/sup><\/td>\n<td style=\"text-align: center;\">443<\/td>\n<td style=\"text-align: center;\">4.8&#215;10<sup>\u20117<\/sup> *<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div data-custom-style=\"Body Text\">\n<p>*conversion: (1.0 min<sup>2<\/sup>\/m<sup>5<\/sup>) (1 d \/ 1440 min)<sup>2<\/sup> = 4.8 x10<sup>\u20117<\/sup> d<sup>2<\/sup>\/m<sup>5<\/sup><\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>The <em>T<\/em> value obtained using AQTESOLV is higher than that obtained using manual methods. The values of <em>C<\/em> are similar. Generally, in this case inputting the step drawdown data and letting AQTESOLV generate an estimate of <em>C<\/em>, <em>P<\/em>, <em>S<\/em>, and <em>T<\/em> yielded poor estimates. In order to obtain values of <em>C<\/em> similar to the manual solution of Exercise\u00a05, the range of parameter values were constrained including setting <em>P<\/em> (exponent of <em>C<\/em>) to 2 and limiting the maximum <em>S<\/em> value to 0.01. The generated <em>S<\/em> value is unreasonably high for a confined aquifer, however, constraining <em>S<\/em> to smaller values degraded the quality of fit to the data. In this case, careful analyses of model results are required to obtain reasonable values. It is recommended that manual analysis of step test data sets be performed before automated fitting. The manual analysis results serve as a check of the fitting program results.<\/p>\n<\/div>\n<\/div>\n<div id=\"box-11.4-aqtesolv-solution-for-exercise-7\" class=\"level3\">\n<h3>Box 11.4 AQTESOLV Solution for Exercise 7<\/h3>\n<div data-custom-style=\"First Paragraph\">\n<p>The manual solution for Exercise 7 involves analyzing a slug test as delineated in Section 14. This box provides images of the Exercise 7 solution using AQTESOLV, followed by a table comparing the manual and AQTESOLV results. The AQTESOLV <strong>i<\/strong>mage of the analysis of the field data is presented in Figure Box\u00a011\u20119.<\/p>\n<\/div>\n<div data-custom-style=\"Captioned Figure\">\n<p><img decoding=\"async\" class=\"\" style=\"display: block; margin-left: auto; margin-right: auto; width: 461px; height: 372px;\" src=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-content\/uploads\/sites\/40\/2026\/08\/Figure-Box-11\u20119-AQTESOLV-slug-test-analysis.png\" alt=\"\" \/><\/p>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote>\n<div class=\"figcaption-text\">\n<p><strong>Figure Box\u00a011\u20119<\/strong> AQTESOLV slug test analysis .<\/p>\n<\/div>\n<\/blockquote>\n<\/div>\n<div data-custom-style=\"First Paragraph\">\n<p>The results obtained by manual and automated analysis are compared in Table\u00a0Box\u00a011\u20114.<\/p>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote>\n<div class=\"tabcaption-text\">\n<p><strong>Table\u00a0Box\u00a011\u20114 \u2011<\/strong> Comparison between results in <em>Solution Exercise 5<\/em> of Section 21 accomplished with manual analysis and AQTESOLV results.<\/p>\n<\/div>\n<\/blockquote>\n<\/div>\n<table style=\"width: 71%;\" data-custom-style=\"Table\">\n<colgroup>\n<col style=\"width: 24%;\" \/>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 21%;\" \/> <\/colgroup>\n<thead>\n<tr>\n<th style=\"text-align: center;\"><\/th>\n<th style=\"text-align: center;\">Manual<\/th>\n<th style=\"text-align: center;\">Automated<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align: center;\">Exercise 7<\/td>\n<td style=\"text-align: center;\">K m\/d<\/td>\n<td style=\"text-align: center;\">K m\/d<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">using Equation\u00a0<a href=\"\/an-introduction-to-hydraulic-testing-in-hydrogeology\/chapter\/methods-to-interpret-overdamped-slug-tests\/#X7049ae633904bc03803ea6a19ae5c8e559c4bbf\">(107)<\/a><\/td>\n<td style=\"text-align: center;\">0.33<\/td>\n<td style=\"text-align: center;\">0.32<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">using Equation\u00a0<a href=\"\/an-introduction-to-hydraulic-testing-in-hydrogeology\/chapter\/methods-to-interpret-overdamped-slug-tests\/#X8e7e9c35bfc70514cd6bd2c20794974cd7bfe4d\">(108)<\/a><\/td>\n<td style=\"text-align: center;\">0.33<\/td>\n<td style=\"text-align: center;\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div data-custom-style=\"Body Text\">\n<p>The Hvorslev hand fitted curve matching and AQTESOLV results are very similar. The application of either approach yields reasonable hydrogeologic values for this unconfined slug test data set.<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p><a href=\"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/part\/18-exercises\/#TextLinkToBox11\">Return to where text linked to Box\u00a011<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"author":8,"menu_order":93,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1867","chapter","type-chapter","status-publish","hentry"],"part":603,"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/pressbooks\/v2\/chapters\/1867","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/wp\/v2\/users\/8"}],"version-history":[{"count":10,"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/pressbooks\/v2\/chapters\/1867\/revisions"}],"predecessor-version":[{"id":4102,"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/pressbooks\/v2\/chapters\/1867\/revisions\/4102"}],"part":[{"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/pressbooks\/v2\/parts\/603"}],"metadata":[{"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/pressbooks\/v2\/chapters\/1867\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/wp\/v2\/media?parent=1867"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/pressbooks\/v2\/chapter-type?post=1867"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/wp\/v2\/contributor?post=1867"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/an-introduction-to-hydraulic-testing-in-hydrogeology\/wp-json\/wp\/v2\/license?post=1867"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}