He was born in Akron, Ohio, to Swiss-German parents. The family then returned to Germany, where he was raised.
In 1911 he was awarded a Ph.D. by the University of Heidelberg with a focus on geology and paleontology. The same year he returned to the U.S. and joined the University of Cincinnati as a lecturer. By 1924 he was a professor of geology at the institution.
In 1935 he became president of the Ohio Academy of Sciences. In 1940 he joined the Columbia University, specializing in structural geology. It is thought that at this time he worked as a consultant on the Manhattan Project, hypothesizing how the detonation of the atomic bomb could affect the Earth's crust. In the same year he joined the National Research Council, as a consultant as chairman of the Division of Geology and Geography. In 1946 he was elected president of the New York Academy of Sciences, and from 1950 until 1953 he served as president of the American Geophysical Union. He was also president of the Geological Society of America (1955) and received their Penrose Medal in 1960.[2]
From 1920 onward, Bucher was noted for his studies in cryptovolcanic structures, significant deformations of the crust of the Earth, and structural geology.
Bucher, W. H., Caster, K. E. and Jones, S. M., "Elementary guide to the fossils and strata in the vicinity of Cincinnati", 1945, Cincinnati Museum of Natural History.
^Eckel, Edwin, 1982, GSA Memoir 155, The Geological Society of America — Life History of a Learned Society: Boulder, Colorado, Geological Society of America Memoir 155, 168 p., ISBN0-8137-1155-X.