干旱区生态环境知识资源中心(Arid): Mathematical modeling and simulation analysis of hydraulic fracture propagation in three-layered poro-elastic media

Arid

DOI	10.2172/6371540
报告编号	DOE/MC/27351-3335
来源ID	OSTI_ID: 6371540
	Mathematical modeling and simulation analysis of hydraulic fracture propagation in three-layered poro-elastic media
	Moon, H.Y. (Ohio State Univ., Columbus, OH (United States)); Advani, S.H.; Lee, T.S. (Lehigh Univ., Bethlehem, PA (United States))
英文摘要	Hydraulic fracturing plays a pivotal role in the enhancement of oil and gas production recovery from low permeability reservoirs. The process of hydraulic fracturing entails the generation of a fracture by pumping fluids blended with special chemicals and proppants into the payzone at high injection rates and pressures to extend and wedge fractures. The mathematical modeling of hydraulically induced fractures generally incorporates coupling between the formation elasticity, fracture fluid flow, and fracture mechanics equations governing the formation structural responses, fluid pressure profile, and fracture growth. Two allied unsymmetric elliptic fracture models are developed for fracture configuration evolutions in three-layered rock formations. The first approach is based on a Lagrangian formulation incorporating pertinent energy components associated with the formation structural responses and fracture fluid flow. The second model is based on a generalized variational principle, introducing an energy rate related functional. These models initially simulate a penny-shaped fracture, which becomes elliptic if the crack tips encounters (upper and/or lower) barriers with differential reservoir properties (in situ stresses, 16 elastic moduli, and fracture toughness-contrasts and fluid leak-off characteristics). The energy rate component magnitudes are determined to interpret the governing hydraulic fracture mechanisms during fracture evolution. The variational principle is extended to study the phenomenon and consequences of fluid lag in fractures. Finally, parametric sensitivity and energy rate investigations to evaluate the roles of controllable hydraulic treatment variables and uncontrollable reservoir property characterization parameters are performed. The presented field applications demonstrate the overall capabilities of the developed models. These studies provide stimulation treatment guidelines for fracture configuration design, control, and optimization.
出版年	1992
报告类型	Technical Report
语种	英语
国家	美国
来源学科分类	02 PETROLEUM ; 03 NATURAL GAS ; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE ; HYDRAULIC FRACTURES ; CRACK PROPAGATION ; RESERVOIR ROCK ; HYDRAULIC FRACTURING ; LAGRANGIAN FUNCTION ; MATHEMATICAL MODELS ; OPTIMIZATION ; PARAMETRIC ANALYSIS ; POROUS MATERIALS ; SIMULATION ; FAILURES ; FRACTURES ; FRACTURING ; FUNCTIONS ; MATERIALS 020300* -- Petroleum-- Drilling & Production ; 030300 -- Natural Gas-- Drilling, Production, & Processing ; 990200 -- Mathematics & Computers
URL	http://www.osti.gov/scitech/servlets/purl/6371540
资源类型	科技报告
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/264913
推荐引用方式 GB/T 7714	Moon, H.Y. ,Advani, S.H.,Lee, T.S. . Mathematical modeling and simulation analysis of hydraulic fracture propagation in three-layered poro-elastic media,1992.