Rate and pressure behavior considering the fractal characteristics of structurally disordered fractured reservoirs
- PDF / 3,243,341 Bytes
- 25 Pages / 595.276 x 790.866 pts Page_size
- 85 Downloads / 133 Views
ORIGINAL PAPER-PRODUCTION ENGINEERING
Rate and pressure behavior considering the fractal characteristics of structurally disordered fractured reservoirs Salam Al‑Rbeawi1 Received: 13 May 2020 / Accepted: 3 September 2020 © The Author(s) 2020
Abstract The main objective of this paper is to understand the impact of the fractal characteristics of fractured reservoirs on their pressure behavior, flow rate decline, and productivity index. The paper proposes a new methodology for developing several analytical models for describing the wellbore pressure distribution and the flow rate decline trend. The proposed models consider including the fractal characteristics such as the mass fractal dimension, conductivity index of anomalous diffusion flow mechanism, fractal-network parameters, fractional-derivative order, and matrix/fracture-interaction index as well as dual-porosity media characteristics such as the storativity and interporosity flow coefficient in the analytical models of the pressure, rate, and productivity index. The study has found that: (1) Some of the fractal characteristics have a significant impact on reservoir performance, while others may not have a significant impact. (2) Fractal reservoirs exhibit better performance than the standard geometry reservoirs of single and dual-porosity media. Keywords Unconventional resources · Fractured reservoirs · Fractal structures · Reservoir modeling and simulation · Reservoir performance List of symbols A Drainage area, acres Bo Oil formation volume factor ct Total compressibility, psi−1 JDP Productivity index of constant wellbore pressure, dimensionless JDq Productivity index of constant sandface flow rate, dimensionless h Formation thickness, ft hf Fracture height, ft k Permeability, md kf Permeability of fractures, md km Permeability of the matrix, md NPD Dimensionless cumulative production n Number of hydraulic fractures Pwf Bottom hole flowing pressure, psi PD Dimensionless pressure PDu Dimensionless pressure in unstimulated reservoir volume PDs Dimensionless pressure in stimulated reservoir volume * Salam Al‑Rbeawi [email protected] 1
PDf Dimensionless pressure in fractures ΔPwf Wellbore pressure drop, psi PwD Wellbore pressure drop, dimensionless tD × P�wD Pressure derivative, dimensionless qD Sandface flow rate, dimensionless q Flow rate, Stb/Day for oil reservoirs Qsc Gas flow rate, MScf/Day for gas reservoirs s Laplace operator t Time, h tD Time, dimensionless tDA Dimensionless time based on drainage area μ Viscosity, cp x X—coordinate for a point in the porous media y Y—coordinate for a point in the porous media xe Reservoir boundary, ft xf Hydraulic fracture half–length, ft wf Hydraulic fracture width, ft ye Reservoir boundary, ft ∅ Porosity ω Storativity λ Interporosity flow coefficient 𝜂m Matrix hydraulic diffusivity constant Γ Gamma function
METU-Northern Cyprus Campus, Mersin 10, Turkey
13
Vol.:(0123456789)
Journal of Petroleum Exploration and Production Technology
Subscripts e Early production
Data Loading...
