인문학
사회과학
자연과학
공학
의약학
농수해양학
예술체육학
복합학
DBpia AI
AI 에이전트
AI 아이디어
AI 리더
AI 뷰어
Citeasy
크롬 서지관리 다운로드
지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록·키워드
Representative single anisotropic matrix block 2D Green's function models for depletion through fully-penetrating, vertical fractures through different numbers of fracture faces are constructed that analytically capture both fracture and block depletion with fracture-matrix mass transfer. The 1D Green's function for a fracture system is likewise solved in terms of the time evolution of average fracture pressure. While transient average pressure values are not inherently measurable, they are transformed into cumulative production or instantaneous flowrate values, thus producing new rate decline model functional forms. Primary variables in assembling the interacting systems model are the volume ratio, V<sub>f</sub> /V<sub>m</sub>, permeability ratio, k<sub>f</sub> /k<sub>x</sub>, and geometry, (a/b)(k<sub>y</sub>/k<sub>x</sub>), with the last term accounting for both block shape and permeability anisotropy. We construct interacting systems models in terms of various ratios of V<sub>f</sub> /V<sub>m</sub>, and k<sub>f</sub> /k<sub>x</sub> for three fracture architecture prototypes: representative matrix blocks depleted by 4, 2, or 1 contacting fractures. The single matrix block models can be migrated to ones for heterogeneous systems using superposition and matrix block distributions, as demonstrated with a binary distribution of block sizes with variable fractions. Analytic solutions for rate decline problems can be used to understand the production signatures of naturally fractured reservoirs and interpretation of fracture volume fraction, permeability ratio, average matrix block size, and measures of heterogeneity.
#Anisotropy
#Matrix (chemical analysis)
#Superposition principle
#Fracture (geology)
#Permeability (electromagnetism)
#Laplace transform
#Volume fraction
#Mechanics
#Geometry
#Mathematics
#Materials science
#Geology
#Chemistry
#Geotechnical engineering
#Physics
#Thermodynamics
#Mathematical analysis
#Composite material
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