{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:38:14Z","timestamp":1760783894858,"version":"3.37.3"},"reference-count":48,"publisher":"Geological Society of London","issue":"1","license":[{"start":{"date-parts":[[2014,11,20]],"date-time":"2014-11-20T00:00:00Z","timestamp":1416441600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-002"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SJG"],"published-print":{"date-parts":[[2015,4]]},"abstract":"<jats:p>Horatio Scott Carslaw was a key figure in the development of the mathematical tools that are now used by thermogeologists and hydrogeologists. Carslaw was a student of Lord Kelvin at the University of Glasgow, and can be regarded as a link between Kelvin\u2019s application of Fourier\u2019s mathematics to geological problems and our present practitioners. Charles Vernon Theis and Clarence Lubin cited Carslaw\u2019s mathematics as a key influence in the development of the Theis well function. Carslaw\u2019s prot\u00e9g\u00e9, John Conrad Jaeger, took Carslaw\u2019s mathematics firmly into the geological realm. This paper examines Carslaw\u2019s wide-reaching influence and the development of the line source \u2018exponential integral\u2019 function, noting the contributions made by other scientists, including Kelvin, Whitehead and Lord Rayleigh.<\/jats:p>","DOI":"10.1144\/sjg2014-021","type":"journal-article","created":{"date-parts":[[2014,12,11]],"date-time":"2014-12-11T19:44:36Z","timestamp":1418327076000},"page":"100-104","source":"Crossref","is-referenced-by-count":8,"title":["Horatio Scott Carslaw and the origins of the well function and line source heat function"],"prefix":"10.1144","volume":"51","author":[{"given":"Dave","family":"Banks","sequence":"first","affiliation":[{"name":"School of Engineering, James Watt Building (South), University of Glasgow, Glasgow G12 8QQ, UK"}]}],"member":"1881","published-online":{"date-parts":[[2014,11,20]]},"reference":[{"key":"e_1_3_1_2_1","doi-asserted-by":"crossref","unstructured":"Banks D. 2011. 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