Skip to main content
Erschienen in: Rock Mechanics and Rock Engineering 10/2023

20.07.2023 | Technical Note

An Upscaling-Based Three Parameter Elastic Anisotropy Model

verfasst von: E. V. Dontsov

Erschienen in: Rock Mechanics and Rock Engineering | Ausgabe 10/2023

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Highlights

  • Physically admissible three parameter elastic anisotropy model is proposed.
  • The result is obtained by upscaling of a layered material.
  • Comparison with laboratory measurements is presented.
  • Reduced anisotropy model is useful for data poor conditions.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Backus JE (1962) Long-wave elastic anisotropy produced by horizontal layering. J Geophys Res 67:4427–4440CrossRef Backus JE (1962) Long-wave elastic anisotropy produced by horizontal layering. J Geophys Res 67:4427–4440CrossRef
Zurück zum Zitat Bessmertnykh AO, Dontsov EV (2018) Aspect ratio of hydraulic fracture in homogeneous transversely isotropic material. American Rock Mechanics Association, Seattle, WA Bessmertnykh AO, Dontsov EV (2018) Aspect ratio of hydraulic fracture in homogeneous transversely isotropic material. American Rock Mechanics Association, Seattle, WA
Zurück zum Zitat Chertov M (2012) Closed-form solution for vertical fracture width in anisotropic elastic formations. Int J Rock Mech Min Sci 53:70–75CrossRef Chertov M (2012) Closed-form solution for vertical fracture width in anisotropic elastic formations. Int J Rock Mech Min Sci 53:70–75CrossRef
Zurück zum Zitat Dontsov EV (2019) Scaling laws for hydraulic fractures driven by a power-law fluid in homogeneous anisotropic rocks. Int J Numer Anal Methods Geomech 43:519–529CrossRef Dontsov EV (2019) Scaling laws for hydraulic fractures driven by a power-law fluid in homogeneous anisotropic rocks. Int J Numer Anal Methods Geomech 43:519–529CrossRef
Zurück zum Zitat Jin Z, Li W, Jin C, Hambleton J, Cusatis G (2018) Anisotropic elastic, strength, and fracture properties of marcellus shale. Int J Rock Mech Min Sci 109:124–137CrossRef Jin Z, Li W, Jin C, Hambleton J, Cusatis G (2018) Anisotropic elastic, strength, and fracture properties of marcellus shale. Int J Rock Mech Min Sci 109:124–137CrossRef
Zurück zum Zitat Johnston JE, Christensen NI (1994) Elastic constants and velocity surfaces of indurated anisotropic shales. Surv Geophys 15:481–494CrossRef Johnston JE, Christensen NI (1994) Elastic constants and velocity surfaces of indurated anisotropic shales. Surv Geophys 15:481–494CrossRef
Zurück zum Zitat Josh M, Esteban L, Delle Piane C, Sarout J, Dewhurst DN, Clennell MB (2012) Laboratory characterisation of shale properties. J Pet Sci Eng 88–89:107–124CrossRef Josh M, Esteban L, Delle Piane C, Sarout J, Dewhurst DN, Clennell MB (2012) Laboratory characterisation of shale properties. J Pet Sci Eng 88–89:107–124CrossRef
Zurück zum Zitat Kuila U, Dewhurst DN, Siggins AF, Raven MD (2011) Stress anisotropy and velocity anisotropy in low porosity shale. Tectonophysics 503:34–44CrossRef Kuila U, Dewhurst DN, Siggins AF, Raven MD (2011) Stress anisotropy and velocity anisotropy in low porosity shale. Tectonophysics 503:34–44CrossRef
Zurück zum Zitat Laubie H, Ulm F (2014a) Plane-strain crack problem in transversely isotropic solids for hydraulic fracturing applications. J Eng Mech 140:04014092CrossRef Laubie H, Ulm F (2014a) Plane-strain crack problem in transversely isotropic solids for hydraulic fracturing applications. J Eng Mech 140:04014092CrossRef
Zurück zum Zitat Laubie H, Ulm F (2014b) Irwin’s conjecture: crack shape adaptability in transversely isotropic solids. J Mech Phys Solids 68:1–13CrossRef Laubie H, Ulm F (2014b) Irwin’s conjecture: crack shape adaptability in transversely isotropic solids. J Mech Phys Solids 68:1–13CrossRef
Zurück zum Zitat Li YE, Cheng AC, You N (2019) Shale anisotropy estimation from logs in vertical wells. J Geophys Res Solid Earth 124:6602–6611CrossRef Li YE, Cheng AC, You N (2019) Shale anisotropy estimation from logs in vertical wells. J Geophys Res Solid Earth 124:6602–6611CrossRef
Zurück zum Zitat Moukhtari FE, Lecampion B, Zia H (2019) Propagation of a planar hydraulic fracture perpendicular to the isotropy plane of a transversely isotropic material. American Rock Mechanics Association, New York, NY Moukhtari FE, Lecampion B, Zia H (2019) Propagation of a planar hydraulic fracture perpendicular to the isotropy plane of a transversely isotropic material. American Rock Mechanics Association, New York, NY
Zurück zum Zitat Murphy E, Rivera Barraza S, Gu M, Gokaraju D, Far ME, Quirein J (2015) New models for acoustic anisotropic interpretation in shale. In SPWLA 56th Annual Logging Symposium, Long Beach, California, USA Murphy E, Rivera Barraza S, Gu M, Gokaraju D, Far ME, Quirein J (2015) New models for acoustic anisotropic interpretation in shale. In SPWLA 56th Annual Logging Symposium, Long Beach, California, USA
Zurück zum Zitat Nadri D, Sarout J, Bona A, Dewhurst D (2011) Estimation of anisotropy parameters using the P-wave velocities on a cylindrical shale sample. SEG Technical Program Expanded Abstracts 2011. Society of Exploration Geophysicists, pp 295–299CrossRef Nadri D, Sarout J, Bona A, Dewhurst D (2011) Estimation of anisotropy parameters using the P-wave velocities on a cylindrical shale sample. SEG Technical Program Expanded Abstracts 2011. Society of Exploration Geophysicists, pp 295–299CrossRef
Zurück zum Zitat Pervukhina M, Dewhurst D, Gurevich B, Kuila U, Siggins T, Raven M, Nordgard Bolas HM (2008) Stress-dependent elastic properties of shales: measurement and modeling. Lead Edge 27:772–779CrossRef Pervukhina M, Dewhurst D, Gurevich B, Kuila U, Siggins T, Raven M, Nordgard Bolas HM (2008) Stress-dependent elastic properties of shales: measurement and modeling. Lead Edge 27:772–779CrossRef
Zurück zum Zitat Quirein J, Eid M, Cheng A (2014) Predicting the stiffness tensor of a transversely isotropic medium when the vertical poisson’s ratio is less than the horizontal poisson’s ratio. In: SPWLA 55th Annual Logging Symposium, Abu Dhabi Quirein J, Eid M, Cheng A (2014) Predicting the stiffness tensor of a transversely isotropic medium when the vertical poisson’s ratio is less than the horizontal poisson’s ratio. In: SPWLA 55th Annual Logging Symposium, Abu Dhabi
Zurück zum Zitat Ruiz Pena FJ (1998) Elastic properties of sedimentary anisotropic rocks : (measurements and applications). Master’s thesis, Massachusetts Institute of Technology Ruiz Pena FJ (1998) Elastic properties of sedimentary anisotropic rocks : (measurements and applications). Master’s thesis, Massachusetts Institute of Technology
Zurück zum Zitat Schoenberg M, Muir F, Sayers C (1996) Introducing ANNIE; a simple three-parameter anisotropic velocity model for shales. J Seism Explor 5:35–50 Schoenberg M, Muir F, Sayers C (1996) Introducing ANNIE; a simple three-parameter anisotropic velocity model for shales. J Seism Explor 5:35–50
Zurück zum Zitat Sesetty V, Ghassemi A (2018) Effect of rock anisotropy on wellbore stresses and hydraulic fracture propagation. Int J Rock Mech Min Sci 112:369–384CrossRef Sesetty V, Ghassemi A (2018) Effect of rock anisotropy on wellbore stresses and hydraulic fracture propagation. Int J Rock Mech Min Sci 112:369–384CrossRef
Zurück zum Zitat Sesetty V, Ghassemi A, Gil I (2018) An integrated field and numerical study of the impact of formation anisotropy on stage spacing in horizontal wells. In: SPE/AAPG/SEG Unconventional Resources Technology Conference Sesetty V, Ghassemi A, Gil I (2018) An integrated field and numerical study of the impact of formation anisotropy on stage spacing in horizontal wells. In: SPE/AAPG/SEG Unconventional Resources Technology Conference
Zurück zum Zitat Sondergeld CH, Rai CS (2011) Elastic anisotropy of shales. Lead Edge 30:324–331CrossRef Sondergeld CH, Rai CS (2011) Elastic anisotropy of shales. Lead Edge 30:324–331CrossRef
Zurück zum Zitat Yan F, Vernik L, Han D-H (2019) Relationships between the anisotropy parameters for transversely isotropic mudrocks. Geophysics 84:MR195–MR203CrossRef Yan F, Vernik L, Han D-H (2019) Relationships between the anisotropy parameters for transversely isotropic mudrocks. Geophysics 84:MR195–MR203CrossRef
Zurück zum Zitat Yurikov A, Pervukhina M, Beloborodov R, Delle Piane C, Dewhurst DN, Lebedev M (2020) Modeling of compaction trends of anisotropic elastic properties of shales. J Geophys Res Solid Earth 126:e2020JB019725CrossRef Yurikov A, Pervukhina M, Beloborodov R, Delle Piane C, Dewhurst DN, Lebedev M (2020) Modeling of compaction trends of anisotropic elastic properties of shales. J Geophys Res Solid Earth 126:e2020JB019725CrossRef
Metadaten
Titel
An Upscaling-Based Three Parameter Elastic Anisotropy Model
verfasst von
E. V. Dontsov
Publikationsdatum
20.07.2023
Verlag
Springer Vienna
Erschienen in
Rock Mechanics and Rock Engineering / Ausgabe 10/2023
Print ISSN: 0723-2632
Elektronische ISSN: 1434-453X
DOI
https://doi.org/10.1007/s00603-023-03468-z

Weitere Artikel der Ausgabe 10/2023

Rock Mechanics and Rock Engineering 10/2023 Zur Ausgabe