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’s application of Fourier’s mathematics to geological problems and our present practitioners. Charles Vernon Theis and Clarence Lubin cited Carslaw’s mathematics as a key influence in the development of the Theis well function. Carslaw’s protégé, John Conrad Jaeger, took Carslaw’s mathematics firmly into the geological realm. This paper examines Carslaw’s wide-reaching influence and the development of the line source ‘exponential integral’ function, noting the contributions made by other scientists, including Kelvin, Whitehead and Lord Rayleigh.

You do not currently have access to this article.