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The golden rule in practical analysis of groundwater ow is: start simple and introduce complexities (such as heterogeneity and anisotropy) only where more simple explanations prove wholly inadequate. 3.2.3 Transmissivity Although hydraulic conductivity is an extremely important characteristic of an aquifer, it will only be effective in contributing to the transmission of large quantities of water where it is developed in an aquifer of substantial saturated thickness.v For instance, if a bed of gravel has a very high K value but a saturated thickness of only 0.5 m, then it will transmit far less water than a sandy aquifer of much lower K but far greater saturated thickness. For instance, if the K of the thin gravel bed was 1500 m/day, and that of the sandy aquifer only 100 m/day, then supposing the later to be 25 m thick it would be expected to transmit more than three times as much groundwatervi than the far more permeable gravel bed. For many practical purposes therefore, it is precisely the combination of hydraulic conductivity and saturated thickness which we really need to know. This combination of hydraulic conductivity and saturated thickness is captured in the property transmissivity, which in strict terms is de ned as the integration of the values of (horizontal) hydraulic conductivity between the base and top of the aquifer. In cases where hydraulic conductivity does not vary dramatically over depth, the process of integration amounts to nothing more than multiplying the mean hydraulic conductivity by the saturated thickness. This leads to the following, very common, de nition of transmissivity (T): T=K b (3.2)

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11.7.3.3 Range Improvements from Turbo Codes and Loading. Table  11.4 lists the gains in required 10 log10 Es =N0 and percentage range increases on channel CM1 for various combinations of the extensions we have proposed. We assume a path loss exponent of d = 2, as in [4]. We can see that bit loading alone provides up to 47% increase in range, Turbo codes without loading provide a 71% increase, and the combination of Turbo codes and loading allows for a 106% increase in range. Furthermore, the use of clustered loading with D = 2 only reduces these range improvements by 1 3% over the nonclustered case, while providing reduced-rate feedback and lower computational complexity.

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