Rock mechanics and rock engineering

Major impacts
  • Stochastic representation of fracture networks, flow through such networks and thermal performance
  • Fracture process caused by external and hydraulic pressure (experiments and analysis/theory)
  • Modeling of fracture system performance
  • Fracture aperture geometry and effects on flow
Research areas
Related publications

Li, W., Ivanova, V.M., Einstein, H.H., Sousa, R.L., and Vecchiarelli, A. (2017). GEOFRAC and its applications. ARMA e-Newsletters, Spring 2017 issue, 2-11. ARMA e-Newsletters

Seiphoori, A., Moradian, Z., Einstein, H.H., and Whittle, A.J. (2016). Microstructural characterization of opalinus shale. In: Proceedings of the 50th U.S. Rock Mechanics/Geomechanics Symposium, 26-29 June, Houston, Texas. ARMA-2016-783

Moradian, Z., Einstein, H.H., and Ballivy, G. (2016). Detection of cracking levels in brittle rocks by parametric analysis of the acoustic emission signals. Rock Mechanics and Rock Engineering, 49 (3), 785–800. doi:10.1007/s00603-015-0775-1

Einstein, H.H. (2016). Editorial. In: Proceedings of the Shale Symposium at the International Congress of the International Society for Rock Mechanics, Montreal, Canada, May 10–13, 2015. Also in: Rock Mechanics and Rock Engineering, 49 (2), 631–633. doi:10.1007/s00603-015-0871-2

Barla, G., Einstein, H.H., and Kovári, K. (2016). Editorial. Rock Mechanics and Rock Engineering, 49 (1), 1-1. doi:10.1007/s00603-015-0901-0

Moradian, Z., Li, Q.B., Morgan, S., Gonçalves da Silva, B., Germaine, G.T., and Einstein, H.H. (2015). Accoustic emission characteristics of shale. In: Proceedings of the 13th ISRM International Congress of Rock Mechanics, 10-13 May, Montreal, Canada. ISRM-13CONGRESS-2015-366

Li, W., Opolot, M., Sousa, R., and Einstein, H.H. (2015). Reactive transport in a pipe of soluble rock; a theoretical and experimental study. American Geophysical Union Fall Meeting, San Fransisco, 14-18 December, 2015.

Gonçalves da Silva, B., Li, B.Q., Moradian, Z., Germaine, G.T., and Einstein, H.H. (2015). Development of a test setup capable of hydraulic fracturing tests in the laboratory with image and acoustic emission monitoring. In: Proceedings of the 48th U.S. Rock Mechanics Symposium, San Fransisco, CA. ARMA-2015-141

Butscher, C., Einstein, H.H., and Huggenberger, P. (2015). Darcy flux as hydrological indicator for the swelling potential of clay-sulfate rocks in tunnelling. Engineering Geology, 197, 11-19. doi:10.1016/j.enggeo.2015.08.007

Oglesby, K., Woskov, P., Einstein, H.H., and Livesay, B. (2014). Deep Geothermal Drilling Using Millimeter Wave Technology. Final technical research report, 30 September 2011 – 30 September 2014, Massachusetts Institute of Technology. Prepared for USDOE Office of Energy Efficiency and Renewable Energy, Geothermal Technologies Office under Contract no. EE0005504, December 2014. doi:10.2172/1169951

Morgan, S.P., and Einstein, H.H. (2014). The effect of bedding plane orientation on crack propagation and coalescence in shale. In: Proceedings of the 48th U.S. Rock Mechanics/Geomechanics Symposium, 1-4 June, Minneapolis, Minnesota. ARMA-2014-7727

Moradian, Z., and Einstein, H.H. (2014). Monitoring cracking process of gypsum by means of acoustic emission and high speed camera imaging. In: Proceedings of the 48th U.S. Rock Mechanics/Geomechanics Symposium, 1-4 June, Minneapolis, Minnesota. ARMA-2014-7528

Li, W., and Einstein, H.H. (2014). Numerical and Analytical Modeling of Heat Transfer between Fluid and Fractured Rocks. Final report (121 pages), Massachusetts Institute of Technology. Prepared for USDOE Office of Energy Efficiency and Renewable Energy, Geothermal Technologies Office under Contract no. EE0002743, Recovery Act – Decision Aids for Geothermal Systems, May 2014. doi:10.2172/1236455

Ivanova, V.M., Sousa, R., Murrihy, B., and Einstein, H.H. (2014). Mathematical algorithm development and parametric studies with the GEOFRAC three-dimensional stochastic model of natural rock fracture systems. Computers & Geosciences, 67, 100-109. doi:10.1016/j.cageo.2013.12.004

Gonçalves da Silva, and Einstein, H.H. (2014). Finite Element study of fracture initiation in flaws subject to internal fluid pressure and vertical stress. International Journal of Solids and Structures, 51 (23-24), 4122–4136. doi:10.1016/j.ijsolstr.2014.08.006

Einstein, H.H., and Vecchiarelli, A. (2014). Further Development and Application of GEOFRAC-FLOW to a Geothermal Reservoir. Final report, Massachusetts Institute of Technology (131 pages). Prepared for USDOE Office of Energy Efficiency and Renewable Energy, Geothermal Technologies Office under Contract no. EE0002743, Recovery Act – Decision Aids for Geothermal Systems, May 2014. doi:10.2172/1236455

Einstein, H. H. (2014). Research in energy related rock mechanics. In: Proceedings of the Geo-Shanghai International Conference, Shanghai, China, May 26-28, 2014. doi:10.1061/9780784413395.001.

Vecchiarelli, A., Sousa, R., and Einstein, H.H. (2013). Parametric study with GEOFRAC: A three-dimesnional stochastic fracture flow model. In: Proceedings of the 38th Workshop on Geothermal Reservoir Engineering, 11-13 February 2013, Stanford University, Stanford, California, pp. 637-645. Retrieved from https://www.geothermal-energy.org/pdf/IGAstandard/SGW/2013/Vecchiarelli.pdf

Umilli, G., Ferrero, A., and Einstein, H.H. (2013). A new method for automatic discontinuity traces sampling on rock mass 3D model. Computers & Geosciences, 51, 182-192. doi:10.1016/j.cageo.2012.07.026

Morgan, S.P., Johnson, C.A., and Einstein, H.H. (2013). Cracking processes in Barre granite: fracture process zones and crack coalescence. International Journal of Fracture, 180 (2), 177-204. doi:10.1007/s10704-013-9810-y

Gonçalves da Silva, B., and Einstein, H.H. (2013). Modeling of crack initiation, propagation and coalescence in rocks. International Journal of Fracture, 182 (2), 167-186. doi:10.1007/s10704-013-9866-8

Einstein, H.H., and C. Fairhurst (2013). Engineering issues in sedimentary basin – Geothermal energy. In: Tracking an Energy Elephant – Science and Engineering Challenges for Unlocking the Geothermal Potential of Sedimentary Basins, NSF-SEES Workshop Report, 6-9 November 2011, Salt Lake City, Utah, pp. 20-23. Retrieved from http://geothermal.tcu.edu/wp-content/uploads/2013/07/Geothermal-13-single1.pdf

Brooks, Z., Ulm, F.-J., and Einstein, H.H. (2013). Environmental scanning electron microscopy (ESEM) and nanoindentation investigation of the crack tip process zone in marble. Acta Geotechnica, 8 (3), 223-245. doi:10.1007/s11440-013-0213-z

Sousa, R., Ivanova, V.M., Murrihy, B., and Einstein, H.H. (2012). Decision Aids for Engineered Geothermal Systems: Fracture Pattern Modeling. Research Report, Massachusetts Institute of Technology, Cambridge, MA. Prepared for USDOE Office of Energy Efficiency and Renewable Energy, Geothermal Technologies Office under Contract no. EE0002743, Recovery Act – Decision Aids for Geothermal Systems, 2012.

Gonçalves da Silva, B., and Einstein, H.H. (2012). Study of stress and strain fields around a flaw tip in rock. In: Proceedings of the 46th U.S. Rock Mechanics/Geomechanics Symposium, 24-27 June, Chicago, Illinois. ARMA-2012-593

Einstein, H.H., and Locsin, J.-L. Z. (2012). Modeling rock fracture intersections and application to the Boston area. Geotechnical and Geoenvironmental Engineering, 138 (11), 1415-1421. doi:10.1061/(ASCE)GT.1943-5606.0000699

Brooks, Z., Ulm, F.-J., and Einstein (2012). Role of microstructure size in fracture process zone development of marble. In: Proceedings of the 46th U.S. Rock Mechanics/Geomechanics Symposium, 24-27 June, Chicago, Illinois. ARMA-2012-421

Morgan, S.P., and Einstein, H.H. (2011). Complex inclusion geometry pairs in brittle material. In: Proceedings of the 45th U.S. Rock Mechanics/Geomechanics Symposium, 26-29 June, San Fransisco, California. ARMA-11-449

Laughton, C., Bobet, A., Einstein, H.H., Glaser, S., Hladysz, Z., and Wang, J. (2011). Engineering research at the United States Deep Underground Science and Engineering Laboratory, in the footprint of the Homestake Mine. In: Proceedings of the SME Annual Meeting & Exhibit and CMA 113th National Western Mining Confrence, 28 February-2 March 2011, Denver, Colorado, USA, no. 11-076. Retrieved from http://www.onemine.org/document/abstract.cfm?docid=201424

Butscher, C., Huggenberger, P., Zechner, E., and Einstein, H.H. (2011). Relation between hydrogeological setting and swelling potential of clay-sulfate rocks in tunneling. Engineering Geology, 122 (3-4), 204-214. doi:10.1016/j.enggeo.2011.05.009

Butscher, C., Einstein, H.H., and Huggenberger, P. (2011). Effects of tunneling on groundwater flow and swelling of clay-sulfate rocks. Water Resources Research, 47 (11), W11520. doi:10.1029/2011WR011023

Janeiro, R.P., and Einstein, H.H. (2010). Experimental study of the cracking behavior of specimens containing inclusions (under uniaxial compression). International Journal of Fracture, 164 (1), 83-102. doi:10.1007/s10704-010-9457-x

Einstein, H.H., Sousa, R., Karam, K., Manzella, I., and Kveldsvik, V. (2010). Rock slopes from mechanics to decision making. Keynote paper. In: Proceedings of the ISRM International Symposium – EUROCK 2010, 15-18 June, Lausanne, Switzerland. ISRM-EUROCK-2010-001

Brooks, Z., Ulm, F.-J., Einstein, H.H., and Abousleiman, Y. (2010). A nanomechanical investigation of the crack tip process zone. In: Proceedings of the 44th U.S. Rock Mechanics Symposium and 5th U.S.-Canada Rock Mechanics Symposium, 27-30 June, Salt Lake City, Utah. ARMA-10-309

Zhang, L., and Einstein, H.H. (2009). The planar shape of rock joints. Rock Mechanics and Rock Engineering, 43 (1), 55-68. doi:10.1007/s00603-009-0054-0

Wong, L.N.Y., and Einstein, H.H. (2009). Crack coalescence in molded gypsum and Carrara marble: Part 2. Macroscopic observations and interpretation. Rock Mechanics and Rock Engineering, 42 (3), 513-545. doi:10.1007/s00603-008-0003-3

Wong, L.N.Y., and Einstein, H.H. (2009). Crack coalescence in molded gypsum and Carrara marble: Part 1. Macroscopic observations and interpretation. Rock Mechanics and Rock Engineering, 42 (3), 475-511. doi:10.1007/s00603-008-0002-4

Wong, L.N.Y., and Einstein, H.H. (2009). Process zone development associated with cracking processes in Carrara marble. In G. Ma & Y. Zhou (eds): Proceedings of the 9th International Conference on Analysis of Discontinuous Deformation: New Developments and Applications, 25-27 November 2009, Singapore. doi:10.3850/9789810844554-0076

Wong, L.N.Y., and Einstein, H.H. (2009). Using high speed video imaging in the study of cracking processes in rock. Geotechnical Testing Journal, 32 (2), 164-180. doi:10.1520/GTJ101631

Wong, L.N.Y., and Einstein, H.H. (2009). Systematic evaluation of cracking behavior in specimens containing single flaws under uniaxial compression. International Journal of Rock Mechanics and Mining Sciences, 46 (2), 239-249. doi:10.1016/j.ijrmms.2008.03.006

Kveldsvik, V., Einstein, H.H., Nilsen, B., and Blikra, L.H. (2009). Numerical analysis of the 650,000 m2 Åknes rock slope based on measured displacements and geotechnical data. Rock Mechanics and Rock Engineering, 42, 689. doi:10.1007/s00603-008-0005-1

Einstein, H.H., and Zhang, L. (2009). The importance of discontinuities. Geostata, 13 (6), 18-23. Retrieved from http://geostrata.geoinstitute.org/article/2009-11-12p18-23/

Einstein, H.H., Miller, J., and Silva, B. (2009). Experimental and Analytical Research on Fracture Processes in Rock. Massachusetts Institute of Technology, Department of Civil Engineering. Final report no. DOE/GO/16061-1, February 2009. Prepared for USDOE Office of Geothermal Technologies under Contract no. FG36-06GO16061. doi:10.2172/948451

Einstein, H.H. (2009). The importance of discontinuities. Geostata, 13 (6), 18-21, Nov/Dec 2009.

Einstein, H.H. (2009). Commentary: rock and soil. Geostata, 13 (6), 14, Nov/Dec 2009.

Miller, J.T., and Einstein, H.H. (2008). Crack coalescence tests on granite. In: Proceedings of the 42nd U.S. Rock Mechanics Symposium (USRMS), 29 June-2 July, San Francisco, California. ARMA-08-162

Einstein, H.H. (2008). Treatment of risk in rock engineering. In: Beiträge zum 7. Geotechnik-Tag in München, Risiko und Sicherheit in der Geotechnik, pp. 95-117. Technische Universität München, Zentrum Geotechnik.

Bobet, A., and Einstein, H.H. (2008). Deep tunnels in Clay Shales: Evaluation of key properties for short and long term support. In: Proceedings of GeoCongress 2008, 9-12 March, New Orleans, Louisiana, USA. doi:10.1061/40972(311)58

Wong, L.N.Y., and Einstein, H.H. (2007). Crack coalescence in molded gypsum and Carrara marble. Poster-paper presented at the American Geophysical Union Fall Meeting, 10-14 December 2007, San Francisco, California, USA. Abstract only: T11A-0342.

Wong, L.N.Y., and Einstein, H.H. (2007). Coalescence behavior in Carrara marble and molded gypsum containing artificial flaw pairs under uniaxial compression. In: Proceedings of the 1st Canada – U.S. Rock Mechanics Symposium, 27-31 May, Vancouver, Canada. ARMA-07-071

Einstein, H.H. (2008). Reducing uncertainty through updating – from experiments to the observational method. In: Proceedings of the 11th ISRM Congress, 9-13 July, Lisbon, Portugal. ISRM-11CONGRESS-2007-294

Wong, L.N.Y., and Einstein, H.H. (2006). Fracturing behavior of prismatic specimens containing single flaws. In: Proceedings of Golden Rocks 2006, the 41st U.S. Symposium on Rock Mechanics (USRMS), 17-21 June, Golden, Colorado. ARMA-06-899

Ko, T.Y., Einstein, H.H., and Kemeny, J. (2006). Crack coalescence in brittle material under cyclic loading. In: Proceedings of the 41st U.S. Symposium on Rock Mechanics (USRMS), Golden Rocks, 17-21 June, Golden, Colorado. ARMA-06-930

Einstein, H.H. (2006). Risk assessment in rock engineering. In M.-L. Lin, C.-T. Chin, H.-D. Lin, Y. Honjo & K.-K. Phoon (eds): Proceedings of the International Symposium on New Generation Design Codes for Geotechnical Engineering Practice – Taipei 2006 (with CD-ROM), 2-3 November 2006, Taipei, Taiwan. World Scientific Inc: Singapore. ISBN 978-9812703828 Proceedings (summary)

Zhang, L., and Einstein, H.H. (2004). Using RQD to estimate the deformation modulus of rock masses. International Journal of Rock Mechanics and Mining Sciences, 41 (2), 337-341. doi:10.1016/S1365-1609(03)00100-X

Ivanova, V.M., and Einstein, H.H. (2004). Three dimensional hierarchical stochastic modeling of rock fracture systems: an example from the Yates field. In: Proceedings of the Gulf Rocks 2004, the 6th North America Rock Mechanics Symposium (NARMS), 5-9 June, Houston, Texas. ARMA-04-479

Bobet, A., and Einstein, H.H. (2004). Crack coalescence in brittle materials – overview of current knowledge. In W. Schubert (ed.): Rock Engineering – Theory and Practice. Proceedings of the ISRM regional symposium EUROCK 2004 and the 53rd Geomechanics Colloquy, Salzburg, Austria, 7-9 October (pp. 475-478). Essen: Verlag Glückauf. ISBN 978-3773959959

Einstein, H.H. (2003). Uncertainty in rock mechanics and rock engineering – then and now. In: Proceedings of 10th ISRM Congress, 8-12 September, Sandton, South Africa. ISRM-10CONGRESS-2003-048

Zhang, L., Einstein, H.H., and Dershowitz, W.S. (2002). Stereological relationships between trace length distribution and size distribution of elliptical discontinuities. Geotechnique, 52 (6), 419-433. doi:10.1680/geot.2002.52.6.419

Meyer, T., and Einstein, H.H. (2002). Geologic stochastic modeling and connectivity assessment of fracture systems in the Boston area. Rock Mechanics and Rock Engineering, 35 (1), 23-44. doi:10.1007/s006030200007

Dershowitz, W.S., Curran, B., Einstein, H.H., LaPointe, P.R., Shuttle, D., and Klise, K. (2002). Discrete Feature Approach for Heterogeneous Reservoir Production Enhancement. Technical report, 1 October 1998 – 30 September 2001, National Petroleum Technology Office. Prepared for US Department of Energy, Assistant Secretary for Fossil Energy, Washington, D.C., under Contract no. AC26-98BC15101, July 2002. doi:10.2172/797644

Vinard, P., Bobet, A., and Einstein, H.H. (2001). Generation and evolution of hydraulic underpressures at Wellenberg, Switzerland. Journal of Geophysical Research, 106 (B12), 30593-30605. doi:10.1029/2001JB000327

Zhang, L., Ernst, H., and Einstein, H.H. (2000). Nonlinear analysis of laterally loaded rock-socketed shafts. Geotechnical and Geoenvironmental Engineering, 126 (11), 955-968. doi:10.1061/1090-0241(2000)126:11(955)

Zhang, L., and Einstein, H.H. (2000). Estimating the intensity of rock discontinuities. International Journal of Rock Mechanics and Mining Sciences, 37 (5), 819-837. doi:10.1016/S1365-1609(00)00022-8

Zhang, L., and Einstein, H.H. (2000). Estimating the deformation modulus of rock masses. In: Proceedings of the 4th North American Rock Mechanics Symposium, 31 July-3 August, Seattle, Washington. ARMA-2000-0703

Einstein, H.H., and Stephansson, O. (2000). Fracture systems, fracture propagation and fracture coalescence. In: Proceedings of the ISRM International Symposium, 19-24 November, Melbourne, Australia. ISRM-IS-2000-033

Einstein, H.H. (2000). Tunnels in Opalinus Clayshale — A review of case histories and new developments. Tunnelling and Underground Space Technology, 15 (1), 13-29. doi:10.1016/S0886-7798(00)00025-0

Zhang, L., and Einstein, H.H. (1999). Closure to “End bearing capacity of drilled shafts in rock”. Geotechnical and Geoenvironmental Engineering, 125 (12), 1109-1110. doi:10.1061/1090-0241(1999)125:12(1109)

Meyer, T., Einstein, H.H., and Ivanova, V.M. (1999). Geologic stochastic modeling of fracture systems related to crustal faults. In: Proceedings of the 9th Congress of the International Society for Rock Mechanics, 25-28 August, Paris, France. ISRM-9CONGRESS-1999-101

Einstein, H.H., and Mayer, T. (1999). Puzzles in Rocks. Müller Lecture. In: Proceedings of the 9th ISRM Congress, 25-28 August, Paris, France. ISRM-9CONGRESS-1999-311

Einstein, H.H. (1999). Tunnels in opalinus clayshale – case histories and new developments. In: Proceedings of the 37th U.S. Symposium on Rock Mechanics (USRMS), 7-9 June, Vail, Colorado. ARMA-99-0049

Zhang, L., and Einstein, H.H. (1998). Estimating the Mean Trace Length of Rock Discontinuities. Rock Mechanics and Rock Engineering, 31 (4), 217-235. doi:10.1007/s006030050022

Zhang, L., and Einstein, H.H. (1998). End bearing capacity of drilled shafts in rock. Geotechnical and Geoenvironmental Engineering, 124 (7), 574-584. doi:10.1061/1090-0241(1998)124:7(574)

Einstein, H.H. (1998). Fractures, discontinuities, and mechanical breakages of rocks. General report. In: Proceedings of the 3rd North American Rock Mechanics Symposium, NARMS’98 (J. Orozco, J. Schmitter, eds.), 3-5 June 1998, Cancun, Mexico, vol. 2, pp. 159-168. Elsevier: Amsterdam, Netherlands. ISBN 978-0080433332

Dershowitz, W.S., LaPointe, P.R., Einstein, H.H., and Ivanova, V. (1998). Fractured Reservoir Discrete Feature Network Technologies. Annual report, 7 March 1996 – 28 February 1997, BDM Oklahoma, Inc. Prepared for US Department of Energy, Assistant Secretary for Fossil Energy, Washington, D.C., under Contract no. AC22-94PC91008, January 1998. doi:10.2172/570115

Dershowitz, W.S., Einstein, H.H., LaPointe, P.R., Eiben, T., Wadleigh, E., and Ivanova, V. (1998). Fractured Reservoir Discrete Feature Network Technologies. Final technical research report, 7 March 1996 – 30 September 1998, Golder Associates, Inc. Prepared for US Department of Energy, Assistant Secretary for Fossil Energy under Contract no. AC22-94PC91008, December 1998. doi:10.2172/757228

Bobet, A., and Einstein, H.H. (1998). Numerical modeling of fracture coalescence in a model rock material. International Journal of Fracture, 92 (3), 221-252. doi:10.1023/A:1007460316400

Bobet, A., and Einstein, H.H. (1998). Fracture coalescence in rock-type materials under uniaxial and biaxial compression. International Journal of Rock Mechanics and Mining Sciences, 35 (7), 863-889. doi:10.1016/S0148-9062(98)00005-9

Bobet, A., Aristorenas, G., and Einstein, H.H. (1998). Feasibility analysis for a radioactive waste repository tunnel. Tunneling and Underground Space Technology, 13 (4) (1998), pp. 409-426.

Einstein, H.H., Bobet, A., and Vinard, P. (1997). Study of the underpressures at Wellenberg. Prepared for NAGRA (Nationale Gesellschaft für die Lagerung radioaktiver Abfälle), Switzerland. MIT internal report, 1997.

Bobet, A., and Einstein, H.H. (1997). Mechanized tunneling in squeezing ground – From basic thoughts to continuous tunneling. In Tunnels for people: proceedings of World Tunnel Congress ’97 (J. Golser, W.H., Hinkel, W. Schubert, eds.), 23rd General Assembly of the International Tunneling Association, 12-17 April 1997, Vienna, Austria, pp. 619-632. Balkema, Rotterdam. ISBN 9789054108689

Einstein, H.H. (1996). Tunnelling in difficult ground — Swelling behaviour and identification of swelling rocks. Rock Mechanics and Rock Engineering, 29 (3), 113-124. doi:10.1007/BF01032649

Bobet, A., and Einstein, H.H. (1996). Fracture coalescence in rock material under uniaxial and biaxial loading. In: Proceedings of the 2nd North American Rock Mechanics Symposium, 19-21 June, Montreal, Quebec, Canada. ARMA-96-1603

Shen, B., Stephansson, O., Einstein, H.H., and Ghahreman, B. (1995). Coalescence of fractures under shear stresses in experiments. Journal of Geophysical Research, 100 (B4), 5975-5990. doi:10.1029/95JB00040

Iwano, M., and Einstein, H.H. (1995). Laboratory experiments on geometric and hydromechanical characteristics of three different fractures in granodiorite. In: Proceedings of the 8th ISRM Congress, 25-29 September, Tokyo, Japan. ISRM-8CONGRESS-1995-151

Ivanova, V.M., Veneziano, D., Yu, X., and Einstein, H.H. (1995). Development of stochastic models for fracture systems. In: Proceedings of the 35th U.S. Symposium on Rock Mechanics (USRMS), 5-7 June, Reno, Nevada. ARMA-95-0725

Hakami, E., Einstein, H.H., Gentier, S., and Iwano, M. (1995). Characterization of fracture apertures – methods and parameters. In: Proceedings of the 8th ISRM Congress, 25-29 September, Tokyo, Japan. ISRM-8CONGRESS-1995-152

Einstein, H.H. (1995). Risk and risk analysis in rock engineering. Keynote lecture. In: Proceedings of the Swedish Rock Mechanics Day, Stockholm, Sweden, 1995. Also in: Tunneling and Underground Space Technology, 11 (2), 141-155. doi:10.1016/0886-7798(96)00014-4

Einstein, H.H. (1994). Comments and recommendations on design and analysis procedures for structures in argillaceous swelling rock. International Society for Rock Mechanics Commission on Swelling Rock (H.H. Einstein: coordinator). International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 31 (5), 535-546. doi:10.1016/0148-9062(94)90155-4

Einstein, H.H. (1994). Determining of rock engineering properties – Objective and subjective assessment of uncertianty. Keynote lecture. In Integral Approach to Applied Rock Mechanics: proceedings of the 1994 ISRM International Symposium, IV Congreso Sudamericano de Mecanica de Rocas (M. Van Sint Jan, et al., eds.), Santiago de Chile, Chile. Published by Editec, 1994. ISBN 978-9567141104

Einstein, H.H. (1994). Suggested methods for rapid field identification of swelling and slaking rocks. International Society for Rock Mechanics Commission on Swelling Rock (H.H. Einstein: coordinator). International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 31 (5), 547-550. doi:10.1016/0148-9062(94)90156-2

Einstein, H.H. (1994). Application of Probabilistic Approaches In Geotechnical Engineering and Engineering Geology. In D. Breysse (ed.): Probabilities and Materials: Tests, Models and Applications, NATO ASI Series, Volume 269, 51-68. Springer Netherlands, 1994. ISBN 978-9401045001 (Print) 978-9401111423 (Online) doi:10.1007/978-94-011-1142-3_8

Iwano, M., and Einstein, H.H. (1993). Stochastic analysis of surface roughness, aperture and flow in a single fracture. In: Proceedings of the ISRM International Symposium – EUROCK 93, 21-24 June, Lisboa, Portugal. ISRM-EUROCK-1993-018

Einstein, H.H. (1993). Modern Developments in Discontinuity Analysis – The Persistence–Connectivity Problem. In J.A. Hudson (ed.): Comprehensive Rock Engineering, Volume 3: Rock Testing and Site Characterization: Principles, Practice and Projects, Chapter 9, 193-213. Pergamon Press Ltd., 1993. ISBN: 978-0080420660 doi:10.1016/B978-0-08-042066-0.50016-1

Einstein, H.H. (1993). What can we do – what can we not do in uncertainty, reliability and risk applied to rock engineering. In: Proceedings of the ISRM International Symposium – EUROCK 93, 21-24 June, Lisboa, Portugal. ISRM-EUROCK-1993-138

Lee, J.-S., and Einstein, H.H. (1992). Topological slope stability analysis using stochastic fracture geometry model. In: Proceedings of the International Conference on Fractured and Jointed Rock Masses (N.G.W. Cook, et al., eds.), 3-5 June 1992, Lake Tahoe, California. Balkema, Rotterdam. ISBN 978-9054105916

Reyes, O., and Einstein, H.H. (1991). Failure mechanisms of fractured rock – a fracture coalescence model. In: Proceedings of the 7th ISRM Congress, 16-20 September, Aachen, Germany. ISRM-7CONGRESS-1991-066

Iglesia, G., Einstein, H.H., Whitman, R.V., Jessberger, H.L., and Güttler, U. (1991). Trapdoor experiments with simulated jointed rock. In: Proceedings of the International Conference Centrifuge 1991 (H.-Y. Ko, F.G. McLean, eds.), 13-14 June, Boulder, Colorado. Balkema, Rotterdam, 1991. ISBN 978-9061911937

Herda, H.H.W., Einstein, H.H., and Dershowitz, W.S. (1991). Problems with representation of rock‐fracture clusters. Geotechnical Engineering, 117 (11), 1754-1771. doi:10.1061/0733-9410(1991)117:11(1754)

Jeng, F.S., and Einstein, H.H. (1991). Model experiments for propellant embedded rock anchors. Rock Mechanics and Rock Engineering, 24 (1), 1-29. doi:10.1007/BF01042716

Einstein, H.H. (1991). Risk in rock engineering. In: Proceedings of the Geotechnical Engineering Congress, 10-12 June 1991, Boulder, Colorado, vol. 1, pp. 608-634. Published by the American Society of Civil Engineers (G. McLean, D.A. Campbell, D.W. Harris, eds.) ISBN 978-0872628069

Suk, J.-S., Einstein, H.H., and Veneziano, D. (1990). Stochastic and Centrifuge Modeling of Jointed Rock. Part III: Stochastic and Topological Fracture Geometry Model. Massachusetts Institute of Technology, Department of Civil Engineering. Final report, June 1987-May 1990. Part 3: MIT report R90-25, 306 pages. Prepared for the Air Force Office of Scientific Research and the Air Force Engineering Services Center. Grant No. AFOSR-87-0260. MIT Libraries: 000651871

Roberds, W.J., Iwano, M., and Einstein, H.H. (1990). Probabilistic mapping of rock joint surfaces. In Rock Joints: proceedings of the International Symposium on Rock Joints (W. Barton, E. Stephansson, eds.), Loen, Norway, 4-6 June 1990, pp. 681-691. Balkema, Rotterdam, 814 pages. ISBN 9061911095

Reyes, O.M.L., and Einstein, H.H. (1990). Stochastic and Centrifuge Modeling of Jointed Rock. Part I: Fracturing of Fractured Rock. Massachusetts Institute of Technology, Department of Civil Engineering. Final report, June 1987-May 1990. Part 1: MIT report R90-23, 211 pages. Prepared for the Air Force Office of Scientific Research and the Air Force Engineering Services Center. Grant No. AFOSR-87-0260. MIT Libraries: 000614067

Lee, J.-S., Veneziano, D., and Einstein, H.H. (1990). Hierarchical fracture trace model. In: Proceedings of the 31th U.S. Symposium on Rock Mechanics (USRMS), 18-20 June, Golden, Colorado. ARMA-90-0261

Iglesia, G.R., Einstein, H.H., and Whitman, R.V. (1990). Stochastic and Centrifuge Modeling of Jointed Rock. Part II: Centrifuge Modelling of Jointed Rock.. Massachusetts Institute of Technology, Department of Civil Engineering. Final report, June 1987-May 1990. Part 2: MIT report R90-24, 281 pages. Prepared for the Air Force Office of Scientific Research and the Air Force Engineering Services Center. Grant No. AFOSR-87-0260. MIT Libraries: 000614100

Einstein, H.H., Whittle, A.J., Jeng, F.S., and Legaspi, Jr., D.E. (1990). Experimental and Analytical Modelling for Propellant-Embedded Anchors. Massachusetts Institute of Technology, Department of Civil Engineering. MIT Sea Grant College Program report (MITSG 90-22), Grant No. NA86AA-D-SG089, 1990. MIT Libraries: 000474566

Einstein, H.H., Li, V., Whitman, R.V., Veneziano, D., Reyes, O., and Lee, J.S. (1990). Stochastic and Centrifuge Modeling of Jointed Rock. Executive Summary. Massachusetts Institute of Technology, Department of Civil Engineering. Final report, June 1987-May 1990. Executive summary: MIT report R90-22, 95 pages. Prepared for the Air Force Office of Scientific Research and the Air Force Engineering Services Center. Grant No. AFOSR-87-0260. MIT Libraries: 000614099

Dershowitz, W.S., and Einstein, H.H. (1990). Tensile and shear fracturing in predominantly compressive stress fields—a review. Engineering Geology, 29 (2), 149-172. doi:10.1016/0013-7952(90)90004-K

Chan, H.C.M., Li, V., and Einstein, H.H. (1990). A hybridized displacement discontinuity and indirect boundary element method to model fracture propagation. International Journal of Fracture, 45 (4), 263-282. doi:10.1007/BF00036271

Li, V.C., Chong, K.P., and Einstein, H.H. (1989). Tension softening and size effects on the fracture determination of geomaterials. In S.P. Shah, S.E. Swartz (eds.): Proceedings of the SEM-RILEM International Conference on Fracture in Concrete and Rock, Houston, Texas, 17-19 June 1987, pp. 255-264. Springer New York 1989. ISBN: 978-0387968803 (Print) 978-1461235781 (Online) doi:10.1007/978-1-4612-3578-1_25

Einstein, H.H., and Jeng, F.S. (1989). Propellant Embedded Anchors in Jointed Rock. Massachusetts Institute of Technology, Department of Civil Engineering. MIT report no. R89-14 on research for Naval Construction Center, Port Hueneme, California, 1989.

Einstein, H.H. (1989). Suggested methods for laboratory testing of argillaceous swelling rocks. International Society for Rock Mechanics commission on swelling rock and working group on swelling rock of the commission on testing methods (H.H. Einstein: chairman of the commission). International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 26 (5), 415-426. doi:10.1016/0148-9062(89)90937-6

Chong, K.P., Li, V.C., and Einstein, H.H. (1989). Size effects, process zone and tension softening behavior in fracture of geomaterials. Engineering Fracture Mechanics, 34 (3), 669-678. doi:10.1016/0013-7944(89)90129-X

Joseph, P.J., Einstein, H.H., and Whitman, R.V. (1988). A Literature Review of Geotechnical Centrifuge Modeling with Particular Emphasis on Rock Mechanics. Massachusetts Institute of Technology, Department of Civil Engineering. Final report, April-December 1986, 119 pages. Prepared for Air Force Engineering & Services Center, Tyndall Air Force Base, under Contract no. DACA88-86-D-0013, June 1988. DTIC citation | PDF

Joseph, P.J., and Einstein, H.H. (1988). Rock Modeling Using the Centrifuge. Massachusetts Institute of Technology, Department of Civil Engineering. Final report, April-December 1986, 50 pages. Prepared for Air Force Engineering & Services Center, Tyndall Air Force Base, under Contract no. DACA88-86-D-0013, June 1988. DTIC citation | PDF

Dershowitz, W.S., and Einstein, H.H. (1988). Characterizing rock joint geometry with joint system models. Rock Mechanics and Rock Engineering, 21(1), 21-51. doi:10.1007/BF01019674

Kafritsas, J., and Einstein, H.H. (1987). Coupled flow/deformation analysis of a dam foundation with the distinct element method. In: Proceedings of the 28th U.S. symposium on rock mechanics (USRMS), 29 June-1 July, Tucson, Arizona. ARMA-87-0481

Dershowtiz, W.S., and Einstein, H.H. (1987). Three-dimensional flow modeling in jointed rock masses. In: Proceedings of the Sixth Congress of the International Society for Rock Mechanics, 30 August-3 September, Montreal, Canada. ISRM-6CONGRESS-1987-016

Bellwald, P., Einstein, H. H. (1987). Elasto-plastic constitutive model. In: Proceedings of Workshop on Swelling Rock, Proceedings of the 6th International Congress on Rock Mechanics, Montreal, Canada. Balkema, Rotterdam, 3:1489–1492.

Einstein, H.H., et al. (1986). Rock Mass Persistence: Final Technical Report and Executive Summary. Massachusetts Institute of Technology, Department of Civil Engineering. MIT report, 95 pages, February 1986. Prepared for U.S. Army Research Office, Grant no. DAAG-29-83-K-0016. MIT Libraries: 000713272

Kafritsas, J., and Einstein, H.H. (1984). Coupled deformation/flow analysis with the distinct element method. In: Proceedings of the 25th U.S. Symposium on Rock Mechanics (USRMS), 25-27 June, Evanston, Illinois. ARMA-84-0239

Einstein, H.H. (1984). Design and construction of tunnels in swelling rock. AIME/SME Transactions. American Institute of Mining, Metallurgical, and Petroleum Engineers. Retrieved from http://www.onemine.org/document/abstract.cfm?docid=7964

Dershowitz, W.S., and Einstein, H.H. (1984). Application of artificial intelligence to problems in rock mechanics. In: Proceedings of the 25th U.S. Symposium on Rock Mechanics (USRMS), 25-27 June, Evanston, Illinois. ARMA-84-0483

Einstein, H.H., Veneziano, D., Baecher, G.B., and O’Reilly, K.J. (1983). The effect of discontinuity persistence on rock slope stability. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 20 (5), 227-236. doi:10.1016/0148-9062(83)90003-7

Einstein, H.H., Baecher, G.B., and Veneziano, D. (1982). Risk analysis for rock slopes in open pit mines (in 8 parts): Einstein, H H; Baecher, G B; Veneziano, D. US Bureau of Mines reports OFR 46(1-8)-81, Nov 1979, 1954P. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 19 (3), 67. doi:10.1016/0148-9062(82)91320-1

Einstein, H.H., and Baecher, G.B. (1983). Probabilistic and statistical methods in engineering geology. Specific methods and examples part I: Exploration. Rock Mechanics and Rock Engineering, 16 (1), 39-72. doi:10.1007/BF01030217

Einstein, H.H. (1983). Characterization of Swelling Rock. Report of the International Society for Rock Mechanics Commission on Swelling Rock (H.H. Einstein: Chairman of the Commission). ISRM reports

Einstein, H.H., and Baecher, G.B. (1982). Probabilistic and Statistical Methods in Engineering Geology I. Problem Statement and Introduction to Solution. In L. Müller (ed.): Engineering Geology and Geomechanics as Fundamentals of Rock Engineering, Chapter 4, 47-61. Suppl. volume 12 of the series Rock Mechanics. Springer Vienna, 1982. ISBN 978-3211816974 (Print) 978-3709186657 (Online) doi:10.1007/978-3-7091-8665-7_4

Einstein, H.H., and Dowding, C.H. (1981). Shearing Resistance and Deformability of Rock Discontinuities. In Y.S. Touloukian, C.Y. Ho (eds.): Physical Properties of Rocks and Minerals, McGraw-Hill / CINDAS Data Series on Material Properties, Chapter 7, 177–219, 1981. ISBN: 978-0070650329

Einstein, H.H. (1981). Effects of moisture on ground control in mining and tunneling – Design and construction of tunnels in swelling rock. In: Mini Symposium on Rock Mechanics, 38 pages, 1981. Society for Mining, Metallurgy, and Exploration of the American Institute of Mining, Metallurgical, and Petroleum Engineers. OneMine.org library

Chan, H.C., and Einstein, H.H. (1981). Approach to complete limit equilibrium analysis for rock wedges — the method of “artificial supports”. Rock Mechanics, 14 (2), 59-86. doi:10.1007/BF01239856

Baecher, G.B., and Einstein, H.H. (1981). Size effect in rock testing. Geophysical Research Letters, 8 (7), 671-674. doi:10.1029/GL008i007p00671

Einstein, H.H., Baecher, G.B., Veneziano, D., et al. (1980). Risk Analysis for Rock Slopes in Open Pit Mines. Massachusetts Institute of Technology, Department of Civil Engineering. MIT reports prepared for the U.S. Bureau of Mines. Six volumes, MIT series R80-18-R80-23. Executive summary. Part 1 – Distributions of rock mass properties. Part 2 – Limit equilibrium analysis for rock wedge stability. Part 3 – Reliability analysis of rock slope stability. Part 4 – Field exploration to determine rock mass properties. Part 5 – Probabilistic models of jointed rock mass deformation and their implications. Appendices A through M – Detailed geologic data underlying developments. MIT Libraries: 000660195

Roberds, W.J., and Einstein, H.H. (1979). Numerical modelling of rock joints. In: Proceedings of the 20th U.S. Symposium on Rock Mechanics (USRMS), 4-6 June, Austin, Texas. ARMA-79-0233

Glynn, E.F., and Einstein, H.H. (1979). Probability of kinematic instability in rock slopes – a numerical approach. In: Proceedings of the 20th U.S. Symposium on Rock Mechanics (USRMS), 4-6 June, Austin, Texas. ARMA-79-0317

Einstein, H.H. (1979). Tunneling in swelling rock. Underground Space, 4, 51-61.

Dershowitz, W.S., Baecher, G.B., and Einstein, H.H. (1979). Prediction of rock mass deformability. In: Proceedings of the 4th ISRM Congress, 2-8 September, Montreux, Switzerland. ISRM-4CONGRESS-1979-082

Roberds, W.J., and Einstein, H.H. (1978). Comprehensive model for rock discontinuities. ASCE Journal of the Geotechnical Division, 104 (5), 553-569.

Glynn, E.F., Veneziano, D., and Einstein, H.H. (1978). The probabilistic model for shearing resistance of jointed rock. In: Proceedings of the 19th U.S. Symposium on Rock Mechanics (USRMS), 1-3 May, Reno, Nevada. ARMA-78-0090

Einstein, H.H., Baecher, G.B., Glynn, E., Dershowitz, W.S., Lanney, N., and Maloney, G. (1978). Risk Analysis for Rock Slopes in Open Pit Mines: Annual Technical Report. Massachusetts Institute of Technology, Department of Civil Engineering. MIT report no. R78-7, Volumes I and II, 1978. Prepared for the U.S. Bureau of Mines under Contract no. J0275015. MIT Libraries: 000369020

Roberds, W.J., and Einstein, H.H. (1977). A General Purpose Elasto-Visco-Plastic Critical State Behavioral Model. Massachusetts Institute of Technology, Department of Civil Engineering. MIT report R77-8, 225 pages, March 1977. Prepared for the National Science Foundation. Grant No. ENG 75-19112. MIT Libraries: 000045427

Baecher, G.B., Lanney, N.A., and Einstein, H.H. (1977). Statistical description of rock properties and sampling. In: Proceedings of the 18th U.S. Symposium on Rock Mechanics (USRMS), 22-24 June, Golden, Colorado. ARMA-77-0400

Einstein, H.H., and Bischoff, N. (1976). Dimensionnement de tunnels en roche gonflante. (Design of tunnels in swelling rock.) Tunnels et Ouvrages Souterrains, 15, 109-119, 1976. Authorized translation of paper given at the 16th U.S. Symposium on Rock Mechanics.

Einstein, H.H., and Bischoff, N. (1975). Design of tunnels in swelling rock. In: Proceedings of the 16th U.S Symposium on Rock Mechanics (USRMS), 22-24 September, Minneapolis, Minnesota. ARMA-75-185

Einstein, H.H., and Hirschfeld, R.C. (1973). Model studies on mechanics of jointed rock. Journal of the ASCE Soil Mechanics and Foundations Division, 99 (3), 229-248. Retrieved from http://cedb.asce.org/CEDBsearch/record.jsp?dockey=0020175

Einstein, H. H., and Descoeudres, F. (1972). Inventaire des essais in-situ de mécanique des roches (principes et critique). (State of the art paper on in-situ rock mechanics measurements.) Bulletin Technique de la Suisse Romande, 28, 345-356.

Einstein, H.H., Bischoff, N., and Hofmann, E. (1972). Verhalten von Stollensohlen in quellendem Mergel (Behavior of invert slabs in swelling shale). In: Proceedings of International Symposium on Underground Openings (Grob, H., Kovári, K., eds.), September 1972, Lucerne, Switzerland, pp. 296–319. Published by the Swiss Society for Soil Mechanics and Foundation Engineering, Zurich, Switzerland.

Einstein, H.H., Bruhn, R.W., and Hirschfeld, R.C. (1970). Mechanics of Jointed Rock: Experimental and Theoretical Studies. Massachusetts Institute of Technology, Department of Civil Engineering. Prepared for the U.S. Department of Transportation under Contract no. C-85-65, 115 pages, 1970. MIT Libraries: 000244774

Einstein, H. H., Baecher, G.B., and Hirschfeld (1970). The effect of size on strength in a brittle rock. In: Proceedings of the 2nd International Congress of the International Society for Rock Mechanics, Belgrade, Yugoslavia, September 1970, Theme 3, Vol. 2, pp. 3-2.

Einstein, H. H., Hirschfeld, R.C., Nelson, R.A., and Bruhn, R.W. (1969). Model studies of jointed-rock behaviors. In: Proceedings of the 11th U.S. Symposium on Rock Mechanics (USRMS), 16-19 June, Berkeley, California. ARMA-69-0083

Einstein, H.H., Hirschfeld, R.C., and Nelson, R.A. (1967). Mechanics of Jointed Rock. Massachusetts Institute of Technology, Department of Civil Engineering, 43 pages, 1967.