I never came across any such study so far that reveals the developmental stages of speleothem formation from start to end. To answer such a question will need continuous cave monitoring. Moreover, there are some works which show, how the morphology and layering pattern can be affected by different climatic events or phases. A latest paper by one of my collaborators has added a new dimension to speleothem science and partly answers your query.
Mahjoor Lone:: Yeah you are absolutely correct. I do not find much papers on the topic but i seriously find it an interesting aspect to be studied. Many thanks for suggesting the nature's reporting !
Majhoor Loone: Well, this was the only paper i could get which gives a comprehensive information about speleothem ontology. It is indeed a master piece. Thanks a lot !!
You might want to check out the book Speleothem Science (http://eu.wiley.com/WileyCDA/WileyTitle/productCd-1405196203.html), as there's an entire section on Speleothem Properties, including their architecture and theoretical models of stalagmite growth etc.
It's available from Amazon: http://www.amazon.co.uk/Speleothem-Science-Environments-Quaternary-Geoscience/dp/1405196203
Alan C. Kendall and Paul L. Broughton, 1977,Discussion: calcite and aragonite fabrics, Carlsbad Caverns: by R. L. Folk and Riccardo Assereto, Journal of Sedimentary Petrology, volume 46, pages 486-496: Journal of Sedimentary Petrology, volume 47, pages 1397-1400. (renamed Journal of Sedimentary Research)
Alan C. Kendall and Paul L. Broughton, 1978, Origin of fabrics in speleothems composed of columnar calcite crystals. Journal of Sedimentary Petrology, volume 48, number 2, pages 519-538. (renamed Journal of Sedimentary Research)
Paul L. Broughton, 1983, Lattice deformation and curvature in stalactitic carbonate.International Journal of Speleology, volume 13, number 1-4, pages 19-30.
Paul L. Broughton, 1983, Environmental implications of competitive growth fabrics in stalactitic carbonate. International Journal of Speleology, volume 13, number 1-4, pages 31-41.
Paul L. Broughton, 1983, Secondary origin of the radial fabric in stalactitic carbonate.International Journal of Speleology, volume 13, number 1-4, pages 43-66.doi: org/10.5038/1827-806X.13.1.4