eprintid: 16962
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/01/69/62
datestamp: 2023-12-19 03:23:26
lastmod: 2023-12-19 03:23:26
status_changed: 2023-12-19 03:07:12
type: article
metadata_visibility: show
creators_name: Nguyen, H.T.
creators_name: Lee, J.H.
creators_name: Elraies, K.A.
title: Review of pseudo-three-dimensional modeling approaches in hydraulic fracturing
ispublished: pub
keywords: Fracture; Oil wells; Petroleum reservoir engineering; Petroleum reservoirs, Fracture model; Fracture network models; Height growth; Hydraulic fracture modeling; Hydraulic fracture propagation; Injection rates; Modeling approach; P3D model; Perkins; Three dimensional modelling, Hydraulic fracturing
note: cited By 6
abstract: In the field of hydraulic fracture modeling, the pseudo-three-dimensional (P3D) approach is an efficient and practical computational tool serving as a compromise between two-dimensional and planar three-dimensional models. This review discusses the P3D modeling approach from its early developmental stage in the 1980s to the present. The evolution of P3D modeling is drawn over time based on the major differences in the governing formulation and assumptions considered by each model. The problems of equilibrium height growth and vertical viscous fluid resistance (i.e., non-equilibrium height growth) emphasize the primary differences among these models. Besides, the P3D-based complex fracture network models for shale oil and gas reservoirs accounting for the interaction between preexisting natural fractures and induced hydraulic fractures are discussed. Finally, in the application section, several simulations are reported to demonstrate the validation of the P3D numerical algorithm by comparing it with the Perkins�Kern�Nordgren (PKN) large and small asymptotic solutions, as well as the effect of time-dependent variable injection rates on the hydraulic fracture propagation. The results showed a good matching between P3D and PKN solutions and a significant effect of the wellbore variable injection rate on the evolution of the fracture length. © 2021, The Author(s).
date: 2022
publisher: Springer Science and Business Media Deutschland GmbH
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85119593234&doi=10.1007%2fs13202-021-01373-1&partnerID=40&md5=919c57db0aaefc9816b61d2714205624
id_number: 10.1007/s13202-021-01373-1
full_text_status: none
publication: Journal of Petroleum Exploration and Production Technology
volume: 12
number: 4
pagerange: 1095-1107
refereed: TRUE
issn: 21900558
citation:   Nguyen, H.T. and Lee, J.H. and Elraies, K.A.  (2022) Review of pseudo-three-dimensional modeling approaches in hydraulic fracturing.  Journal of Petroleum Exploration and Production Technology, 12 (4).  pp. 1095-1107.  ISSN 21900558