Fracturing
measures are common practice for horizontal wells of
tight oil reservoirs. Thus, production estimation is a significant
problem that should be solved. However, previous models for the production
of fractured horizontal wells of tight oil reservoirs have some problems.
In this paper, we present a semi-analytical model based on the volumetric
source method to simulate production from nonplanar fracture geometry
in a tight oil reservoir. First, we developed an analytical model
based on the volumetric source method in nonplanar fracture geometry
with varying widths. Second, the model was coupled with fracture flow
and solved by the Gauss–Seidel iteration. Third, the semi-analytical
model was verified by a numerical reservoir simulator. Finally, sensitivity
analysis was conducted for several critical parameters. Results of
validations showed good agreement between this paper’s model
and the numerical reservoir simulator. The results from the sensitivity
analysis showed that (1) production increases with an increased number
of fracture segments; (2) production drops more quickly with a smaller
fracture half-length in the first stage, and it drops slowly with
a smaller fracture half-length in the second stage; (3) cumulative
production increases more quickly with a bigger fracture conductivity;
and (4) cumulative oil production from a fracture with a constant
width and without stress sensitivity coefficient is smaller than that
from a fracture with varying widths and with stress sensitivity coefficient.
This research provides a basis and reference for production estimation
in tight oil reservoirs.