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Unsteady-state Flow to Hydraulically Fractured Horizontal Well - Analytical Model
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 77th EAGE Conference and Exhibition 2015, Jun 2015, Volume 2015, p.1 - 5
Abstract
Summary
In this note we present an analytical approach for predicting the unsteady-state flow to a multiple fractured horizontal well in an infinite reservoir. The main objective of this research was to create fast and precise algorithm, which may be easily embedded and transformed when used for more complex tasks, such as multivariate computations for decision-making or optimization problems. The presented methodology is based on superposition of flows to a single finite-conductivity fracture. The analytical approach to model multiply fractured horizontal well is not new. For example, one of the most congenial papers, Meyer et al. (2010) , presents an analytical solution methodology for predicting the behavior of horizontal wellbores with finite-conductivity transverse fractures in rectangular shaped closed reservoirs. Their model is based on trilinear and pseudosteady-state resistivity models of fluid flow towards vertical fractures, and was used for economic optimization of multiple fractured horizontal wells.
The proposed model allows us to describe fluid-flow changes in time in low-permeability reservoirs. Its advantage is due to taking into account different flow regimes such as early-time, intermediate-time, and late-time production. The regimes are described by different production responses (bilinear, linear, pseudoradial) which are obtained from the direct Laplace-space solution of the partial differential equation, corresponding to the two-dimensional flow to the wellbore, and their superposition.
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