Gas

Part 3, Part 3: The Fluids

Learning objectives

  • Describe gas as the light, soft, strongly compressible extreme of the fluid ladder
  • Use the compressibility factor Z and pseudo-reduced temperature and pressure in the Batzle-Wang gas model
  • Explain why gas modulus and density climb with depth while a near-incompressible liquid stays nearly flat
  • Connect the gas-brine modulus gulf to the bright spot and the 4D seismic signal

The Extreme Rung

Gas is the floor of the ladder and the reason the ladder is worth climbing. A gas of specific gravity 0.65 at 50 degrees Celsius and 25 MPa has bulk modulus KflK_{fl}fl near 0.061 GPa, density rhofl\rho_{fl}fl near 0.202 g/cc, and velocity near 548 m/s. Set that modulus against brine at the same conditions, about 3.03 GPa, and gas is some thirty to a hundred times softer depending on where in the reservoir range you compare. It is also the lightest of the three fluids by a wide margin. Softness and low density are what make gas loud, and its third property, compressibility, is what makes it move.

Compressible: Pressure Changes Everything

A liquid is nearly incompressible, so its modulus hardly notices depth. Gas is compressible, so its properties depend strongly on pressure and temperature, and Batzle-Wang models that dependence through the compressibility factor ZZ, the measure of how far a real gas departs from the ideal-gas law, computed from the pseudo-reduced temperature and pressure (the working temperature and pressure divided by scaling values set by the gas gravity). Hold temperature at 50 degrees and drop the pressure from 25 MPa to 5 MPa, as if lifting the gas from reservoir depth toward the surface: the bulk modulus falls from 0.061 GPa to about 0.008, the density from 0.202 g/cc to about 0.038, and the compressibility factor climbs from 0.864 toward 0.919 as the gas approaches ideal behavior. Gas stiffens and densifies with depth, the opposite of the intuition a liquid trains.

Gas5 MPa: 0.00825 MPa: 0.061pressure (MPa), at 50 CK (GPa)gas gravity 0.65gas gravity 0.80Gas is compressible: its modulus climbs steeply with pressure, and so with depth.

Why a Little Gas Is So Loud

The consequence is the most exploited fact in quantitative interpretation. Because gas bulk modulus sits thirty to a hundred times below brine, replacing even a few percent of the brine in a pore with gas transforms how the rock resists compression, and its P-wave velocity drops sharply while its density falls too. That is the physical root of the bright spot, the amplitude anomaly a gas sand throws on a seismic section, and of the 4D time-lapse signal, where producing gas out of a reservoir or injecting it back in changes the amplitudes between two surveys. A fluid this soft and this light does not whisper.

One phrase in that argument was doing quiet work: a few percent of the brine replaced by gas. How the gas and the brine share the pore space, finely intermixed or gathered into separate patches, turns out to change the answer, and it is where the next section begins.

References

  • Mavko, G., Mukerji, T., & Dvorkin, J. (2009). The Rock Physics Handbook (2nd ed.). Cambridge University Press.
  • Batzle, M., & Wang, Z. (1992). Seismic properties of pore fluids. Geophysics, 57(11), 1396-1408.

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