|
|
Line 62: |
Line 62: |
|
| |
|
| INSERT FIGURE 3 Rate verses Time and Rate verses Cum Oil | | INSERT FIGURE 3 Rate verses Time and Rate verses Cum Oil |
| | |
| | === Hyperbolic Decline === |
| | |
| | ==== Flowrate ==== |
| | |
| | [[File:Flow Rate Equation.PNG|middle|Hyperbolic decline - Flowrate]] |
| | |
| | ==== Cumulative production ==== |
| | |
| | ==== Variables ==== |
| | |
| | – q = current production rate – q i = initial production rate (start of production) – d i = initial nominal decline rate at t = 0 – t = cumulative time since start of production – N p = cumulative production being analyzed – b= hyperbolic decline constant (0< b < 1) – This is the most general formulation for decline curve analysis. Exponential (b=0) and harmonic (b=1) decline are special cases of this formula. • The mathematical equation defining hyperbolic decline has three constants – The initial production rate – The initial decline rate (defined at the same time as the initial production rate) – The “hyperbolic exponent” b. • For most conventional analysis, 0<b<1 • However for some cases b>1 has also been found. (Refer to section ,,, for more on this) • The decline rate is not a constant, but changes with time, since the data plots as a curve on semi-log paper • The hyperbolic exponent ( b) is the rate of change of the decline rate with respect to time. This means that “b” is the second derivative of production rate with respect to time. |
|
| |
|
| == References == | | == References == |