The document discusses gas flow equations for a linear horizontal system. It explains that equations for liquid flow cannot be used due to gas being highly compressible. The derivation shows that Darcy's equation can be written in differential form and used to determine gas flow rate at reservoir conditions. Boyle's law is then applied to relate the reservoir flow rate to the flow rate at standard surface conditions. Approximations are used to solve the equation as viscosity and compressibility are strong functions of pressure.
The document discusses gas flow equations for a linear horizontal system. It explains that equations for liquid flow cannot be used due to gas being highly compressible. The derivation shows that Darcy's equation can be written in differential form and used to determine gas flow rate at reservoir conditions. Boyle's law is then applied to relate the reservoir flow rate to the flow rate at standard surface conditions. Approximations are used to solve the equation as viscosity and compressibility are strong functions of pressure.
The document discusses gas flow equations for a linear horizontal system. It explains that equations for liquid flow cannot be used due to gas being highly compressible. The derivation shows that Darcy's equation can be written in differential form and used to determine gas flow rate at reservoir conditions. Boyle's law is then applied to relate the reservoir flow rate to the flow rate at standard surface conditions. Approximations are used to solve the equation as viscosity and compressibility are strong functions of pressure.
The document discusses gas flow equations for a linear horizontal system. It explains that equations for liquid flow cannot be used due to gas being highly compressible. The derivation shows that Darcy's equation can be written in differential form and used to determine gas flow rate at reservoir conditions. Boyle's law is then applied to relate the reservoir flow rate to the flow rate at standard surface conditions. Approximations are used to solve the equation as viscosity and compressibility are strong functions of pressure.
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Compressible Flow
gas is so highly compressible that equations for
liquid flow cannot be used. Derivation of gas flow rate for a linear horizontal system follows. Darcys equation in differential form can be written as,
Eng. Haitem Ben-Massud
where q is the flow rate at reservoir conditions, rcf/d. Naturally, it is most desirable to determine gas flow rate at surface, or standard conditions in units of standard cubic feet per day (scf/d). Beginning with Boyle's law for a re For steady- state conditions, the flow rate in scf/d (qsc) is constant everywhere in the system at any pressure. al gas under isothermal conditions,
Eng. Haitem Ben-Massud
Eng. Haitem Ben-Massud Substituting for reservoir flow rate and separating variables
Eng. Haitem Ben-Massud
Note that viscosity and z-factor are strong functions of pressure; therefore to solve this Eq. two approximations were developed. In the low-pressure region (p < 2000 psi), z = constant and can be evaluated at average pressure (p1+p2)/2.