Approaches to modeling hydraulic fracturing and their development

M. M. Khasanov, G. V. Paderin, E. V. Shel, A. A. Yakovlev, A. A. Pustovskikh

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Modeling of hydraulic fracturing (HF) is the complex problem, which includes the description of many physical processes, including: the fluid flow in the fracture, deformation of the rock, fracture of the rock, proppant flow, etc. An effective solution of this problem requires a considerable number of simplifications and assumptions, which leads to various models of hydraulic fracturing. Presented article is devoted to the analysis and systematization of hydraulic fracturing models. A general system of equations for the fracturing problem is presented, and the aspects of transition from the initial equations to concrete models are considered. In this paper, we analyze both models that are traditionally used in industrial simulators (Lumped Pseudo3D, Cell-based Pseudo3D, Planar3D), and prospective models (Semi-analytical Pseudo3D, UFM Pseudo3D, Planar3D Bio, Full 3D), the implementation of which in the oil industry began recently. The basic approximations in the modeling of fracturing are considered, such as approximations of the effective continuous medium, the approximation of the small width, the incompressibility of the fracturing fluid, the approximation of small deformations and elastic mechanics, the approximation of the planar fracture shape, the approximation of the piecewise homogeneity of the formation along the vertical, the presence or absence of natural fractures network, the poroelastic effects, effects of proppant transport. It is indicated which approximations are used by each of the above-described fracture models. On this basis, conclusions about the range of applicability of certain models or fracturing simulators are drawn. To summarize the results of analysis of the considered HF models, the systematization and hierarchy of HF models based on assumptions and limitations is proposed. The article also discusses possible directions for further development of hydraulic fracturing models.

Original languageEnglish
Pages (from-to)37-41
Number of pages5
JournalNeftyanoe khozyaystvo - Oil Industry
Issue number12
DOIs
Publication statusPublished - 1 Jan 2017
Externally publishedYes

Fingerprint

Hydraulic fracturing
Proppants
Simulators
Rocks
Fracturing fluids
Flow of fluids
Mechanics

Keywords

  • Continuum mechanics
  • Fracturing simulator
  • Hydraulic fracturing
  • Hydrodynamics
  • Mathematical modeling
  • Mathematical models of fracturing
  • Poroelastic effects
  • Proppant transport
  • Solid mechanics

ASJC Scopus subject areas

  • Fuel Technology
  • Energy Engineering and Power Technology

Cite this

Approaches to modeling hydraulic fracturing and their development. / Khasanov, M. M.; Paderin, G. V.; Shel, E. V.; Yakovlev, A. A.; Pustovskikh, A. A.

In: Neftyanoe khozyaystvo - Oil Industry, No. 12, 01.01.2017, p. 37-41.

Research output: Contribution to journalArticle

Khasanov, M. M. ; Paderin, G. V. ; Shel, E. V. ; Yakovlev, A. A. ; Pustovskikh, A. A. / Approaches to modeling hydraulic fracturing and their development. In: Neftyanoe khozyaystvo - Oil Industry. 2017 ; No. 12. pp. 37-41.
@article{19281e95372548aebde5966be4436bad,
title = "Approaches to modeling hydraulic fracturing and their development",
abstract = "Modeling of hydraulic fracturing (HF) is the complex problem, which includes the description of many physical processes, including: the fluid flow in the fracture, deformation of the rock, fracture of the rock, proppant flow, etc. An effective solution of this problem requires a considerable number of simplifications and assumptions, which leads to various models of hydraulic fracturing. Presented article is devoted to the analysis and systematization of hydraulic fracturing models. A general system of equations for the fracturing problem is presented, and the aspects of transition from the initial equations to concrete models are considered. In this paper, we analyze both models that are traditionally used in industrial simulators (Lumped Pseudo3D, Cell-based Pseudo3D, Planar3D), and prospective models (Semi-analytical Pseudo3D, UFM Pseudo3D, Planar3D Bio, Full 3D), the implementation of which in the oil industry began recently. The basic approximations in the modeling of fracturing are considered, such as approximations of the effective continuous medium, the approximation of the small width, the incompressibility of the fracturing fluid, the approximation of small deformations and elastic mechanics, the approximation of the planar fracture shape, the approximation of the piecewise homogeneity of the formation along the vertical, the presence or absence of natural fractures network, the poroelastic effects, effects of proppant transport. It is indicated which approximations are used by each of the above-described fracture models. On this basis, conclusions about the range of applicability of certain models or fracturing simulators are drawn. To summarize the results of analysis of the considered HF models, the systematization and hierarchy of HF models based on assumptions and limitations is proposed. The article also discusses possible directions for further development of hydraulic fracturing models.",
keywords = "Continuum mechanics, Fracturing simulator, Hydraulic fracturing, Hydrodynamics, Mathematical modeling, Mathematical models of fracturing, Poroelastic effects, Proppant transport, Solid mechanics",
author = "Khasanov, {M. M.} and Paderin, {G. V.} and Shel, {E. V.} and Yakovlev, {A. A.} and Pustovskikh, {A. A.}",
year = "2017",
month = "1",
day = "1",
doi = "10.24887/0028-2448-2017-12-37-41",
language = "English",
pages = "37--41",
journal = "Neftyanoe khozyaystvo - Oil Industry",
issn = "0028-2448",
publisher = "Neftyanoe Khozyaistvo",
number = "12",

}

TY - JOUR

T1 - Approaches to modeling hydraulic fracturing and their development

AU - Khasanov, M. M.

AU - Paderin, G. V.

AU - Shel, E. V.

AU - Yakovlev, A. A.

AU - Pustovskikh, A. A.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - Modeling of hydraulic fracturing (HF) is the complex problem, which includes the description of many physical processes, including: the fluid flow in the fracture, deformation of the rock, fracture of the rock, proppant flow, etc. An effective solution of this problem requires a considerable number of simplifications and assumptions, which leads to various models of hydraulic fracturing. Presented article is devoted to the analysis and systematization of hydraulic fracturing models. A general system of equations for the fracturing problem is presented, and the aspects of transition from the initial equations to concrete models are considered. In this paper, we analyze both models that are traditionally used in industrial simulators (Lumped Pseudo3D, Cell-based Pseudo3D, Planar3D), and prospective models (Semi-analytical Pseudo3D, UFM Pseudo3D, Planar3D Bio, Full 3D), the implementation of which in the oil industry began recently. The basic approximations in the modeling of fracturing are considered, such as approximations of the effective continuous medium, the approximation of the small width, the incompressibility of the fracturing fluid, the approximation of small deformations and elastic mechanics, the approximation of the planar fracture shape, the approximation of the piecewise homogeneity of the formation along the vertical, the presence or absence of natural fractures network, the poroelastic effects, effects of proppant transport. It is indicated which approximations are used by each of the above-described fracture models. On this basis, conclusions about the range of applicability of certain models or fracturing simulators are drawn. To summarize the results of analysis of the considered HF models, the systematization and hierarchy of HF models based on assumptions and limitations is proposed. The article also discusses possible directions for further development of hydraulic fracturing models.

AB - Modeling of hydraulic fracturing (HF) is the complex problem, which includes the description of many physical processes, including: the fluid flow in the fracture, deformation of the rock, fracture of the rock, proppant flow, etc. An effective solution of this problem requires a considerable number of simplifications and assumptions, which leads to various models of hydraulic fracturing. Presented article is devoted to the analysis and systematization of hydraulic fracturing models. A general system of equations for the fracturing problem is presented, and the aspects of transition from the initial equations to concrete models are considered. In this paper, we analyze both models that are traditionally used in industrial simulators (Lumped Pseudo3D, Cell-based Pseudo3D, Planar3D), and prospective models (Semi-analytical Pseudo3D, UFM Pseudo3D, Planar3D Bio, Full 3D), the implementation of which in the oil industry began recently. The basic approximations in the modeling of fracturing are considered, such as approximations of the effective continuous medium, the approximation of the small width, the incompressibility of the fracturing fluid, the approximation of small deformations and elastic mechanics, the approximation of the planar fracture shape, the approximation of the piecewise homogeneity of the formation along the vertical, the presence or absence of natural fractures network, the poroelastic effects, effects of proppant transport. It is indicated which approximations are used by each of the above-described fracture models. On this basis, conclusions about the range of applicability of certain models or fracturing simulators are drawn. To summarize the results of analysis of the considered HF models, the systematization and hierarchy of HF models based on assumptions and limitations is proposed. The article also discusses possible directions for further development of hydraulic fracturing models.

KW - Continuum mechanics

KW - Fracturing simulator

KW - Hydraulic fracturing

KW - Hydrodynamics

KW - Mathematical modeling

KW - Mathematical models of fracturing

KW - Poroelastic effects

KW - Proppant transport

KW - Solid mechanics

UR - http://www.scopus.com/inward/record.url?scp=85039161694&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85039161694&partnerID=8YFLogxK

U2 - 10.24887/0028-2448-2017-12-37-41

DO - 10.24887/0028-2448-2017-12-37-41

M3 - Article

AN - SCOPUS:85039161694

SP - 37

EP - 41

JO - Neftyanoe khozyaystvo - Oil Industry

JF - Neftyanoe khozyaystvo - Oil Industry

SN - 0028-2448

IS - 12

ER -