For lava flow volume estimations and calculations, look the following papers:

Tolan TL, Reidel SP, Beeson MH, Anderson JL, Fecht KR, Swanson DA (1989) Revisions to the estimated of the areal extent and volume of the Columbia River Basalt Group. Geol Soc Am Spec Pap 239:1–20

Stefano Branca, Emanuela De Beni, Cristina Proietti (2013) The large and destructive 1669 AD eruption at Etna volcano: reconstruction of the lava flow field evolution and effusion rate trend. Bull Volcanol (2013) 75:694 DOI 10.1007/s00445-013-0694-5

Interesting details about volumes of lava flows and flow simulations using example of Armenia are available in:

CONNOR, L.J. C.B. CONNOR, KH. MELIKSETIAN, I. SAVOV. 2012. A probabilistic approach to modeling lava flow inundation. Lava flow hazard assessment for a nuclear facility in Armenia. Journal of Applied Volcanology, 1:3, Springer.

chek this site for Mt Etna :

http://www.ct.ingv.it/it/banca-dati-delle-eruzioni/eruzioni-etna.html

check also the following papers:

Harris, A. J. L., Neri, M. (2002): Volumetric observations during paroxysmal eruptions at Mount Etna: pressurized drainage of a shallow chamber or pulsed supply? J. Volcanol. Geotherm. Res., 116, 79-95, doi:10.1016/S0377-0273(02)00212-3.

Calvari S., Neri M., Pinkerton H. (2003): Effusion rate estimation during the 1999 summit eruption on Mt. Etna, and growth of two distinct lava flow fields. J. Volcanol. Geotherm. Res., 119/1-4, 107-123, doi:10.1016/S0377-0273(02)00308-6.

Behncke, B., Neri, M., and Nagay, A., (2005), Lava flow hazard at Mount Etna (Italy): New data from a GIS-based study, in Manga, M., and Ventura, G., eds., Kinematics and dynamics of lava flows: Geol. Soc. Am. Spec. Pap. 396, 187-205, doi: 10.1130/0-8137-2396-5.189.

Behncke B., Neri M., Pecora E., Zanon V. (2006), The exceptional activity and growth of the Southeast Crater, Mount Etna (Italy), between 1996 and 2001. Bull. Volcanol., 69, 149-173, DOI 10.1007/s00445-006-0061-x.

Neri M., F. Casu, V. Acocella, G. Solaro, S. Pepe, P. Berardino, E. Sansosti, T. Caltabiano, P. Lundgren, R. Lanari (2009), Deformation and eruptions at Mt. Etna (Italy): a lesson from 15 years of observations. Geophys. Res. Lett., 36, L02309, doi:10.1029/2008GL036151.

Vicari, A., Ganci, G., Behncke, B., Cappello, A., Neri, M., Del Negro, C. (2011), Near-real-time forecasting of lava flow hazards during the 12-13 January 2011 Etna eruption, Geophys. Res. Lett., 38, L13317, doi:10.1029/2011GL047545.

Neri M., Acocella V., Behncke B., Giammanco S., Mazzarini F., Rust D. (2011), Structural analysis of the eruptive fissures at Mount Etna (Italy). Ann. Geophys., 54, 5, 464-479, doi: 10.4401/ag-5332.

For lava flow volume estimations at Piton de la Fournaise, look this paper:

Peltier, A., P. Bachèlery, T. Staudacher (2009), Magma transport and storage at Piton de La Fournaise (La Réunion) between 1972 and 2007: A review of geophysical and geochemical data, Journal of Volcanology and Geothermal Research, Vol. 184, pp 93–108, doi:10.1016/j.jvolgeores.2008.12.008

I think this paper will help you alot.

Behncke B., Neri M., Pecora E., Zanon V. (2006), The exceptional activity and growth of the Southeast Crater, Mount Etna (Italy), between 1996 and 2001. Bull. Volcanol., 69, 149-173, DOI 10.1007/s00445-006-0061-x.

The paper that i recommended you for reading, you can find in marco neri's recomnds and i think all be good for you because i know that two of them are very excellent and maybe all of them.

In addition to Marco Neri's list, I would add also the following:

Allard, P., B. Behncke, S. D’Amico, M. Neri, and S. Gambino (2006), Mount Etna 1993–2005: Anatomy of an evolving eruptive cycle, Earth Sci. Rev., 78, 85–114,

doi:10.1016/j.earscirev.2006.04.002.

Ganci, G., A. J. L. Harris, C. Del Negro, Y. Guéhenneux, A. Cappello, P. Labazuy, S. Calvari, and M. Gouhier (2012), A year of lava fountaining at Etna: volumes from SEVIRI, Geophys. Res. Lett., 39, L06305, doi:10.1029/2012GL051026.

Harris, A.J.L., A. Steffke, S. Calvari, and L. Spampinato (2011), Thirty years of satellite-derived lava discharge rates at Etna: Implications for steady volumetric output, J. Geophys. Res., 116, B08204, doi: 10.1029/2011JB008237.

Harris, A.J.L., A. Steffke, S. Calvari, and L. Spampinato (2012), Correction to “Thirty years of satellite-derived lava discharge rates at Etna: Implications for steady volumetric output”. J. Geophys. Res., 117, B08207, doi:10.1029/2012JB009431.

Tanguy, J.C., M. Condomines, M. Le Goff, V. Chillemi, S. La Delfa, and G. Patané (2007), Mount Etna eruptions of the last 2,750 years: revised chronology and location through archeomagnetic and 226Ra-230Th dating, Bull. Volcanol., 70, 55-83, doi: 10.1007/s00445- 007-0121-x.

You will find here a recent review of lava volumes, eruption durations and bulk lava composition for Piton de la Fournaise:

Roult G., Peltier, A., Staudacher, Th, Ferrazzini, V., Taisne, B., Di Muro, A. and the OVPF team (2012) A comprehensive classification of the Piton de la Fournaise eruptions (La Réunion Island) spanning the 1986-2010 period. Search for eruption precursors from the broad-band GEOSCOPE RER station analysis and interpretation in terms of volcanic processes; JVGR., 241: 78-104.

Hallo Dan,

in the last week I had to do with some literature about lava flows and its dimensions. In two of the inspected papers are also datas to volumina of flows or flow fields:

Keszthelyi & Pieri (1993): Emplacement of a 75 km long Carrizozo lava flow field, south-central New Mexico.- Jour. Volc. Geotherm.Res. 59, 59-75.

Malin (1980): Lengths of Hawaiian lava flows.- Geology, 8, 306-308.

I hope that it helps a little bit for your problem.

Happy Easter

Peter