Abstract
The bottom-hole pressure response which can reflect the gas flow characteristics is important to study. A mathematical model for description of gas from porous coalbed methane (CBM) reservoirs with complex boundary conditions flowing into horizontal wells has been developed. Meanwhile, basic solution of boundary elements has been acquired by combination of Lord Kelvin point source solution, the integral of Bessel function, and Poisson superimpose formula for CBM horizontal wells with complex boundary conditions. Using this model, type curves of dimensionless pressure and pressure derivative are obtained, and flow characteristics of horizontal wells in complex boundary reservoirs and relevant factors are accordingly analyzed.
Highlights
Coalbed methane (CBM) is a kind of green and clean energy
Hu et al [10] established a gas-water two-phase percolation mathematical model of well test interpretation for CBM reservoirs, and its correctness has been verified by simulation of CBM seepage flow characteristics
A mathematical model is developed to describe gas flow in horizontal wells in CBM reservoirs based on the theory of fluid flow through porous
Summary
Coalbed methane (CBM) is a kind of green and clean energy. The development and utilization of coalbed methane could relieve the tense situation of conventional oil and gas in supply, and reduce the atmospheric environment pollution. Hu et al [10] established a gas-water two-phase percolation mathematical model of well test interpretation for CBM reservoirs, and its correctness has been verified by simulation of CBM seepage flow characteristics. Nie et al [21] deduced CBM flow equations based on Langmuir adsorption in matrix and Darcy flow in fracture and analyzed the transient transport characteristics of gas from CBM reservoirs to horizontal wells. Influenced by characteristics of geological structures, the true reservoirs usually have complex and diversiform boundaries In this case, the conventional flow theories and solving methods could do nothing to calculate reservoir or bottom-hole pressures with mixed boundary conditions. A mathematical model is developed to describe gas flow in horizontal wells in CBM reservoirs based on the theory of fluid flow through porous. The type curves of pressure derivative, characteristics of gas flow with complex external boundary, and relevant affecting factors are analyzed
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