I understand this. The real part of permittivity can be considered as a constant (frequency indepenent quantity in this frequency range) and the imaginary part has
to be calculated as
Im(eps)=sigma/(omega*eps0)
Note that the part of the imaginary part of permittivity related to the pure
dielectric polarization mechanism of water molecules can not be measured at
this frequency range because it is orders of magnitude smaller than the
part related to conductor losses. In any experiment the total
imaginary part of permittivity is measured being the sum of dielectric polarization
As a reasonable starting value, you can assume a dielectric constant Epsilon_r in the range of 80. This number worked well for the water cooled RF cavities at COSY, and J-PARC in the frequency range from 0.5 MHz to 10 MHz.
Thanks @Alexander for your answer. You are right, the dielectric constant of water would be around 80. I am not sure if the value of dielectric loss factor could be assumed at the range of 8. I cannot find any paper on it.
I do not know if this will help or not but here it is:
:"Water is a rather important dielectric liquid in pulsed-power applications. It has a relatively high electric breakdown strength (up to 3 x 107 V/m) for submicrosecond electric stress and, owing to its high permittivity, can store quite large energy densities for short times. Most of the electrical characteristics of organic dielectric liquid insulators . . . are also valid for water.
A small fraction (10-7) of water molecules is always dissociated into H+ and OH-. These ions lead to a residual conductivity of 4 x 10-6 S/m even for very clean water. Therefore water is inadequate for DC-insulation. . . . Nevertheless, ionic currents do not contribute to the initiation of breakdown for submicrosecond pulses. This has been demonstrated even for salt solutions with concentrations up to 1M. . . . Water, which is largely used in short-pulse applications, has, in addition, the benefit of a high dielectric constant (e= 81), which allows one to store high energy densities.
Under short-duration electric stress, the electric strength of water becomes comparable to that of other liquid insulators. At 1 ms, its strength is around 40MV/m. . . . Its self-discharge time constant is . . . 180 ms. In contact with air, the conductivity increases up to s = 10-4 S/m owing to dissolution of CO2, leading to . . . 7.3 ms Therefore energy can be stored only for a rather short time in water-insulated systems, determined by the shorter of the two time constants for breakdown . . . and self-discharge." (Pulsed Power Systems Principles and Applications, Hansjoachim Bluhm (2006) p. 38,40; Note: conductivity is given in Siemens per meter)
It looks dielectric constant is almost frequency-independent but temperature-dependent below 1GHz. 80, 78 and 70 are good for 0, 25 and 50 degree Celcius.