Artículos
Publicado 2018-01-10
Palabras clave
- Red de fractura compleja,
- daño continuo,
- fracturas hidráulicas,
- fracturas naturales,
- rigidez
Cómo citar
Zambrano Luna, A. V., González Silva, G., & Quintero Peña, Y. A. (2018). Simulación de la interacción entre fracturas hidráulicas y fracturas naturales con aplicación de daño continuo. Revista UIS Ingenierías, 17(1), 169–184. https://doi.org/10.18273/revuin.v17n1-2018016
Resumen
El concepto de daño continuo es usado para estudiar la interacción entre fracturas hidráulicas y fracturas naturales a través del planteamiento de un modelo, cuyo objetivo es representar el camino de propagación y la relación entre estos dos tipos de fracturas, así como, predecir su complejo comportamiento sin la necesidad de predefinir su dirección como ocurre en otras aplicaciones de elementos finitos, proporcionando resultados más consistentes con el comportamiento físico del fenómeno. El enfoque usa simulaciones de elementos finitos a través del software Abaqus para modelar el fracturamiento por daño o el proceso de fracturamiento por propagación de daño en una roca. El modelado del fenómeno se desarrolla en dos dimensiones (2D) de manera que la fractura será representada por una línea y el frente de fractura por un punto. Se considera comportamiento constitutivo no-lineal, deformación finita, deformación dependiente del tiempo, deformación hardening y softening, y deformación basada en la evolución del daño en compresión y tensión.
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Referencias
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M. Wangen, “Finite Element Modeling of Hydraulic Fracturing in 3D,” Computational Geosciences, vol. 17, pp. 647-659, Ago. 2013.
L. Li, C. Tang, G. Li, S, Wang, Z, Liang y Y. Zhang, “Numerical Simulation of 3D Hydraulic Fracturing Based on an Improved Flow-Stress-Damage Model and a Parallel FEM Technique,” Rock Mechanics and Rock Engineering, vol. 45, pp. 801-818, Sep. 2012.
D. Lubliner, “A Plastic DamageModel for Concrete,” International Journal of Solids and Structures, vol. 25, pp. 299-326, 1989.
F. Lee y G. Fenves, “Plastic Damage Model for Cyclic Loading of Concrete Structures,” Journal of Engineering Mechanics, vol. 124, pp. 892-900, Ago. 1998.
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J. Jaeger y N. Cook, “Fundamentals of Rocks Mechanics”. London Chapman and Hall, pp. 593, 1976.
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S. Murrel, “The Effect of Triaxial Stress Systems on the Strength of Rocks at Atmosfheric Temperatures,” Geophysical Journal International , pp. 231-281, Dic. 1965.
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S. Busetti, K. Mish, P. Hennings y Z. Reches, “Damage and Plastic Deformation of Reservoir Rocks: Part 2. Propagation of a Hydraulic Fracture,” American Association of Petroleum Geologists, vol. 96, pp. 17111732, Sep. 2012.
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Innovation for the Environment Programme, Jul. 2012.
J. Olson y A. Dahi-Taleghani, “The Influence of Natural Fractures on Hydraulic Fracture Propagation,” AAPG, Datapages, Inc. [En línea]. Disponible en: http://www.searchanddiscovery.com/pdfz/documents/20 10/40583olson/ndx_olson.pdf.html
J. Zhou y C. Xue, “Experimental Investigation of Fracture Interaction between Natural Fractures and Hydraulic Fracture in Naturally Fractured Reservoirs,” SPE EUROPEC/EAGE Annual Conference and Exhibition, Vienna, Austria: Society of Petroleum Engineers, 2011.
T. Blanton, “An Experimental Study of Interaction Between Hydraulically Induced and Pre-Existing Fractures,” SPE Unconventional Gas Recovery Symposium, Pittsburgh, Pennsylvania: Society of Petroleum Engineers, 1982.
K. Wu y J. Olson, “Numerical Investigation of Complex Hydraulic-Fracture Development in Naturally Fractured Reservoirs,” SPE Hydraulic Fracturing Technology Conference, The Woodlands, Texas, USA, 2016.
X. Weng, “Modeling of Complex Hydraulic Fractures in Naturally Fractured Formation,” Journal of Unconventional Oil and Gas Resources, vol. 9, pp. 114135, Mar. 2015.
A. Daneshy, “Hydraulic Fracture Propagation in the Presence of Planes of Weakness,” SPE European Spring Meeting, Amsterdam, Netherlands: Society of Petroleum Engineers, 1974.
G. González, E. Matos, W. Martignoni y M. Mori. “The Importance of 3D Mesh Generation for Large Eddy Simulation of Gas-Solid Turbulent Flows in a Fluidized Beds,” World Academy of Science, Engineering and Technology International Journal of Chemical and Molecular Engineering, vol. 6, pp. 770-777, 2012.
G. González, N. Prieto y O. Salazar, “Fluid Dynamics of Gas – Solid Fluidized Beds,” en Advanced Fluid Dynamics, 1a ed. Intech, 2012, cap. 3, pp. 39-58.
F. Mavares y A. Pertuz, “Cementación de Revestidor en Flujo de Gas/Agua Presurizado Superficial no Esperado en un Campo de Desarrollo Costa Afuera: Rio de Janeiro, Brasil,” Rev. UIS Ing., vol. 16, no. 2, pp. 79-92, 2017.
W. Rodríguez, R. Rojas, José Yépez y M, Pallares, “Ánalisis de Sensibilidad y de Estabilidad Numérica en el Cálculo de Factores de Intensidad de Tensiones en un Caso de Mecánica de Fractura,” Rev. UIS Ing., vol. 16, no. 2, pp. 151-160, 2017.
D. González, C. Villabona, H. Vargas, E. Ariza, C. Roa y C. Barajas, “Métodos para el Control e Inhibición de la Acumulación de Depósitos Parafínicos,” Rev. UIS Ing., vol. 9, no. 2, pp. 193-206, 2010.
N. Potluri et al., “Effect of Natural Fractures on Hydraulic Fracture Propagation,” SPE European Formation Damage Conference, Sheveningen, The Netherlands: Society of Petroleum Engineers, 2005, pp. 1-6.
C. Cipolla et al., “Modelling Well Performance in Shale-Gas Reservoirs,” SPE/EAGE Reservoir Characterization and Simulation Conference, Abu Dhabi, UAE: Society of Petroleum Engineers, 2009.
M. Wangen, “Finite Element Modeling of Hydraulic Fracturing in 3D,” Computational Geosciences, vol. 17, pp. 647-659, Ago. 2013.
L. Li, C. Tang, G. Li, S, Wang, Z, Liang y Y. Zhang, “Numerical Simulation of 3D Hydraulic Fracturing Based on an Improved Flow-Stress-Damage Model and a Parallel FEM Technique,” Rock Mechanics and Rock Engineering, vol. 45, pp. 801-818, Sep. 2012.
D. Lubliner, “A Plastic DamageModel for Concrete,” International Journal of Solids and Structures, vol. 25, pp. 299-326, 1989.
F. Lee y G. Fenves, “Plastic Damage Model for Cyclic Loading of Concrete Structures,” Journal of Engineering Mechanics, vol. 124, pp. 892-900, Ago. 1998.
Simulia, “Abaqus 6.11 Documentation. Abaqus Analysis User's Manual”. [En línea]. Disponible en: http://130.149.89.49:2080/v6.11/books/usb/default.htm
Simulia, “Abaqus 6.11 Documentation. Abaqus Theory Manual” [En línea]. Disponible en: http://130.149.89.49:2080/v6.11/books/stm/default.htm
S. Busetti, K. Mish y Z. Reches, “Damage and Plastic Deformation of Reservoirs Rcoks: Part 1. Damage Fracturing,” American Association of Petroleum Geologists, vol. 96, pp. 1687-1709, Sep. 2012.
J. Jaeger y N. Cook, “Fundamentals of Rocks Mechanics”. London Chapman and Hall, pp. 593, 1976.
W. Brace, B. Paulding y C. Scholz, “Dilatancy in the Fracture of Crystalline Rocks,” Journal of Geophysical Research, pp. 3939-3953, Ago. 1966.
S. Murrel, “The Effect of Triaxial Stress Systems on the Strength of Rocks at Atmosfheric Temperatures,” Geophysical Journal International , pp. 231-281, Dic. 1965.
Z. Reches y J. Dieterich, “Faulting of Rocks in Three Dimensional Strain Fields. Failure of Rocks in Polyaxial, Servo-Control Experiments,” Tectonophysics, vol. 96, pp. 111-132, May. 1983.
K. Mogi, “Rock Fracture,” Anuual Review of Earth and Planetary Sciences, vol. 1, pp. 63-84, May. 1973.
E. Alonso, A. Gens y A. Josa, “A Constitutive Model for Partially Saturated Soils,” Geotechnique, vol. 40, pp. 405-430, 1990.
S. Busetti, “Fracturing of Layered Reservoir Rocks,” Ph.D. dissertation, University of Oklahoma, 2009.
A. Taleghani, M. Gonzalez y A. Shojaei, “Overview of Numerical Models for Interactions between Hydraulic Fractures and Natural Fractures: Challenges and Limitations,” Computers and Geotechnics, pp. 361-368, 2016.
S. Busetti, K. Mish, P. Hennings y Z. Reches, “Damage and Plastic Deformation of Reservoir Rocks: Part 2. Propagation of a Hydraulic Fracture,” American Association of Petroleum Geologists, vol. 96, pp. 17111732, Sep. 2012.
R. Nelson, Geologic Analysis of Naturally Fractured Reservoirs, 2 ed. Houston, TX.: Gulf Prefessional Publishing, 2001.
G. Shen, X. Shen y S. Wang, “Numerical and Experimental Studies on Fracture Propagation at a Bimaterial Interface and Its Application to Hydraulic Fracturing,” American Rock Mechanics Association, Jun. 2014.
D. Healy, “Hydraulic Fracturing or "Fracking": A Short Summary of Current Knowledge and Potential Environmental Impacts,” Science, Technology, Research &
Innovation for the Environment Programme, Jul. 2012.
J. Olson y A. Dahi-Taleghani, “The Influence of Natural Fractures on Hydraulic Fracture Propagation,” AAPG, Datapages, Inc. [En línea]. Disponible en: http://www.searchanddiscovery.com/pdfz/documents/20 10/40583olson/ndx_olson.pdf.html
J. Zhou y C. Xue, “Experimental Investigation of Fracture Interaction between Natural Fractures and Hydraulic Fracture in Naturally Fractured Reservoirs,” SPE EUROPEC/EAGE Annual Conference and Exhibition, Vienna, Austria: Society of Petroleum Engineers, 2011.
T. Blanton, “An Experimental Study of Interaction Between Hydraulically Induced and Pre-Existing Fractures,” SPE Unconventional Gas Recovery Symposium, Pittsburgh, Pennsylvania: Society of Petroleum Engineers, 1982.
K. Wu y J. Olson, “Numerical Investigation of Complex Hydraulic-Fracture Development in Naturally Fractured Reservoirs,” SPE Hydraulic Fracturing Technology Conference, The Woodlands, Texas, USA, 2016.
X. Weng, “Modeling of Complex Hydraulic Fractures in Naturally Fractured Formation,” Journal of Unconventional Oil and Gas Resources, vol. 9, pp. 114135, Mar. 2015.
A. Daneshy, “Hydraulic Fracture Propagation in the Presence of Planes of Weakness,” SPE European Spring Meeting, Amsterdam, Netherlands: Society of Petroleum Engineers, 1974.
G. González, E. Matos, W. Martignoni y M. Mori. “The Importance of 3D Mesh Generation for Large Eddy Simulation of Gas-Solid Turbulent Flows in a Fluidized Beds,” World Academy of Science, Engineering and Technology International Journal of Chemical and Molecular Engineering, vol. 6, pp. 770-777, 2012.
G. González, N. Prieto y O. Salazar, “Fluid Dynamics of Gas – Solid Fluidized Beds,” en Advanced Fluid Dynamics, 1a ed. Intech, 2012, cap. 3, pp. 39-58.
F. Mavares y A. Pertuz, “Cementación de Revestidor en Flujo de Gas/Agua Presurizado Superficial no Esperado en un Campo de Desarrollo Costa Afuera: Rio de Janeiro, Brasil,” Rev. UIS Ing., vol. 16, no. 2, pp. 79-92, 2017.
W. Rodríguez, R. Rojas, José Yépez y M, Pallares, “Ánalisis de Sensibilidad y de Estabilidad Numérica en el Cálculo de Factores de Intensidad de Tensiones en un Caso de Mecánica de Fractura,” Rev. UIS Ing., vol. 16, no. 2, pp. 151-160, 2017.
D. González, C. Villabona, H. Vargas, E. Ariza, C. Roa y C. Barajas, “Métodos para el Control e Inhibición de la Acumulación de Depósitos Parafínicos,” Rev. UIS Ing., vol. 9, no. 2, pp. 193-206, 2010.