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Dual Frequency TDR for Coincident Measurement of W C & porosity of Soil



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Dear List members,

I have posted to this list about my interest on a TDR equipment with
regulable rise-time.

Now I am writing a bit more on the reasons why I am so interested.

I wish to hear your opinion on a new line of TDR research that I suggest
below:
developing TDR (time-domain reflectometry) equipment to operate in two
different rise-times, t' and t¥¥, for coincident measurement of water
content and porosity of soil.

The dielectric constants for water and solid soil, Kw and Ks, are
t-dependent.
(Am I correct?)
Thus, t' and t" can be chosen in such a way that the ratio Kw'/ Ks' is
considerably different from Kw"/ Ks".  If this is done, then it might be
possible to solve, for
theta and phi, a system of two simultaneous equations of a mixing-model
type, for instance:

K'^1/2 = theta*Kw'^1/2 + (1-phi)*Ks'^1/2 + (phi-theta)*Ka'^1/2  (eq.1)

K"^1/2 = theta*Kw"^1/2 + (1-phi)*Ks"^1/2 + (phi-theta)*Ka"^1/2  (eq.2)

where theta stands for water content, a for air, phi for porosity.

A sample of water would easily allow determination of Kw' and Kw".
A dry sample of the soil, of known  phi, could be used to determine Ks' and
Ks" , using equations 1 and 2.
Once Ks' and Ks" are known for that given soil, and Kw' and Kw" are also
known, then the system of equations 1 and 2 could now be easily solved for
phi and theta.

*HENCE, SUCH AN INSTRUMENT COULD BE USED FOR SIMULTANEOUS TDR-DETERMINATION
OF THETA AND PHI for a given soil -- which, as far as I know, has not yet
been described in the
literature.*

(Is the idea really new?  Has anyone read about something similar?)

Other rise times, t'" and t"", could also be used to find further
parameters, specially if a four-phase mixing model is used...

I am myself very keen to test this idea.  I am considering to prepare a
project on this and submit it to some agency for financial support.  *But*:
I am rather inexperienced in TDR research, so I would very much
appreciate listening to opinions on the feasibility of this idea before I
invest more time and effort on it...

I know the theory above is very much simplified.  It is just a first
approximation.  I really want to confirm whether the central idea is
correct...  If it is correct, then other
mixing-models could be considered, more sophisticated than eqs. 1 and 2.

I will thank you very much for any comments/suggestions/criticism/etc, on
this idea.

Best regards,

Elimoel A. Elias
e-mail: elias@imagenet.com.br
Website:  http://elimoel.freeyellow.com/elimoel.html
ICQ 109845414
Tel.: +55-19-432-9458

----- Original Message -----
From: "EA Elias" <elias@imagenet.com.br>
To: <owner-sowacs@aqua.ccwr.ac.za>
Sent: Tuesday, October 16, 2001 11:05 AM
Subject: TDR instrument with regulable risetime.


Dear list members,

I am seeking a TDR  instrument with regulable risetime, covering a range as
large as possible.

Has anyone in this list ever used, or heard of, something like this?

I am familiar with a TDR instrument operating at a fast rise time, <200 pS.
I have also heard of instruments with
faster rise times, <10 pS.  I am seeking an instrument with a regulable
risetime, covering a range as
large as possible, perhaps from 10 to 200 pS.  But I have been unable to
find any information about this.
I have emailed some companies:
Soilmoisture
Campbell Scientific Inc.
Tektronix
E.S.I. Environmental Sensors Inc.
but I have only received negative answers.

I will be grateful for any information on this matter.

Elimoel A. Elias
e-mail: elias@imagenet.com.br
Website:  http://elimoel.freeyellow.com/elimoel.html
ICQ 109845414
Tel.: +55-19-432-9458