at, it is necessary to amend T^ (z) to include this deeper 

 thermocline. The temperature that the water will have through 

 this mixed layer may be represented as 





T.(z)clz 



(17) 



TEMPERATURE 



It is once again more convenient to evaluate this Integral 

 by graphical methods rather than determine the function 

 Tc(z) precisely. Figure 2 is an illustration of how this might 



be done. Since no heat is add- 

 ed or subtracted from the water 

 column as was the case in Sec. 

 ).\. above, the area representing 

 the heated portion should equal 

 the area representing the cool- 

 ing portion, A fair approxima- 

 tion may be made simply by 

 counting squares. It should be 

 mentioned that in this process 



AREA OF COOLING DUE TO MIXING 

 AREA OF HEATING DUE TO MIXING 



FIGURE 2. CHANGE IN THERMAL STRUCTURE DUE TO TURBULENT l^hg aSSUIUption mUSt bo made 



MIXING. 



that the discontinuity betv/een 

 tlie new mixed layer D and the former sounding T|^(z) is of zero 

 order. Adjustment must be made for this, since it is knovm that 

 the thermocline is not an ideal discontinuity but that a tran- 

 sition zone exists. This adjustment v/ould have to be made in 

 accordance vxith continuity of tiie past soundings and experience, 

 which automatically brings in a factor of "art," as opposed to 



18 



