As Stikpusher mentioned, you need to be careful in deciding the setting of your diorama. Don't just assume that because it is a desert, then there must be heaps of sand.
Most arid regions around the world comprise poorly vegetated, dusty and rocky terrain. The areas of a desert that comprise sand dunes are relatively small (though the Sahara may be an exception).
That said, there is no substitute to replicate sand, soil and rocks than sand soil and rocks! Obviously, these need to be scaled down to an appropriate size, depending upon the scale of your diorama. For example, a fist-sized rock (10cm diameter) will be about 2mm in 1:48 scale or about 1.4mm in 1:72 scale. Likewise, a 1mm grain of sand will be 0.02mm in 1:48 scale and 0.014mm in 1:72 scale.
These grain sizes can be easily obtained by seiving natural soil or sand. A cheap method for larger sieve sizes is to use insect screen or kitchen sieves, but for the finer fractions, you may need to visit a more specialised supplier (eg. mining supplies) to obtain brass or nylon seives. As a rough guide, refer to the following sieve sizes. Remember that seive sizes are graded by the size of the opening between the mesh. 2mm = No.10 mesh; 1mm = No.18 mesh; 0.5mm = No.35 mesh; 0.25mm = No.60 mesh; 0.1mm = No.155 mesh; 0.05mm = No.300 mesh.
The easiest way to create the required terrain is to use your favourite method (foam, expanded styrene, paper mache, plaster, etc) to create the base, then paint a base colour similar to that of the required sand, dirt, etc. When this is dry, paint on a thinned solution of PVA glue and simply sprinkle on the sieved sand or soil. Wait for the glue to dry then shake or blow off any excess.
Add an occasional rock (larger seived particle), depending upon the terrain and maybe a hint of vegetation to break the monotony... Above all, refer to photos of the actual terrain to get an idea of what it should look like. For example, if it is a sand dune terrain, then there won't be any rocks and probably no vegetation.
If you want to make any tyre tracks, etc, in the base, the best way that I have found is to use a set of wheels on a brass rod axle (or you could just use a diecast model car) and create the wheel tracks when the glue is almost dry, but still soft enough to emboss the tyre tracks onto.
Hope this helps.