hyperbolic_exponential_equations

gistfile1.txt

def hyperbolic_equation(t, qi, b, di):
    """
    Hyperbolic decline curve equation
    Arguments:
        t: Float. Time since the well first came online, 
can be in various units 
        (days, months, etc) so long as they are consistent.
        qi: Float. Initial production rate when well first came online.
        b: Float. Hyperbolic decline constant
        di: Float. Nominal decline rate at time t=0
    Output: 
        Returns q, or the expected production rate at time t. Float.
    """
    return qi/((1.0+b*di*t)**(1.0/b))
def exponential_equation(t, qi, di):
    """
    Exponential decline curve equation
    Arguments:
        t: Float. Time since the well first came online, can be in various units 
        (days, months, etc) so long as they are consistent.
        qi: Float. Initial production rate when well first came online.
        di: Float. Nominal decline rate (constant)
    Output: 
        Returns q, or the expected production rate at time t. Float.
    """
    return qi*np.exp(-di*t)