{"id":1159,"date":"2026-05-12T21:46:27","date_gmt":"2026-05-12T21:46:27","guid":{"rendered":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/introduction-6\/"},"modified":"2026-05-13T03:12:34","modified_gmt":"2026-05-13T03:12:34","slug":"introduction-6","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/introduction-6\/","title":{"raw":"7.1 Introduction","rendered":"7.1 Introduction"},"content":{"raw":"<div id=\"introduction-5\" class=\"level1\">\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nWe have discussed the flow equations so as to understand, both conceptually and mathematically, how groundwater flows in a porous medium. The main equation that we developed and discussed is a partial differential equation that governs flow at a given point under all conditions (assuming that Darcy\u2019s law is valid). In essence, it is the all\u2011purpose equation that covers all situations. In order to solve this differential equation for a natural groundwater system, we need to apply it to a specific situation and make some simplifying assumptions. One specific situation that the equation has been solved for is flow of water in an aquifer to a well. In this section, we discuss the concepts and mathematics of well hydraulics, or flow to a pumping well.\r\n\r\n<\/div>\r\n<\/div>","rendered":"<div id=\"introduction-5\" class=\"level1\">\n<div data-custom-style=\"First Paragraph\">\n<p>We have discussed the flow equations so as to understand, both conceptually and mathematically, how groundwater flows in a porous medium. The main equation that we developed and discussed is a partial differential equation that governs flow at a given point under all conditions (assuming that Darcy\u2019s law is valid). In essence, it is the all\u2011purpose equation that covers all situations. In order to solve this differential equation for a natural groundwater system, we need to apply it to a specific situation and make some simplifying assumptions. One specific situation that the equation has been solved for is flow of water in an aquifer to a well. In this section, we discuss the concepts and mathematics of well hydraulics, or flow to a pumping well.<\/p>\n<\/div>\n<\/div>\n","protected":false},"author":8,"menu_order":20,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1159","chapter","type-chapter","status-publish","hentry"],"part":1486,"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1159","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/wp\/v2\/users\/8"}],"version-history":[{"count":2,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1159\/revisions"}],"predecessor-version":[{"id":1725,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1159\/revisions\/1725"}],"part":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/parts\/1486"}],"metadata":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1159\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/wp\/v2\/media?parent=1159"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapter-type?post=1159"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/wp\/v2\/contributor?post=1159"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/wp\/v2\/license?post=1159"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}