A review is made of recent convection studies in a shallow layer of a satur
ated porous medium, induced by applied thermal and/or solutal gradients. Th
is problem is likely to be paradigmatic for convection induced by such grad
ients in more general geometries. A horizontal gradient induces a "Hadley c
irculation," which can be superimposed on any existing forced convection fl
ow The stability of the combined basic flow depends on the horizontal and v
ertical components of the inclined gradients. Above a certain vertical grad
ient value an additional cellular flow is superimposed on the basic flow Th
e nature of the additional cellular flow (e.g., stationary or oscillatory h
orizontal rolls whose axes are perpendicular to the vertical gradient and a
ligned with or perpendicular to the horizontal gradient), depends on the pa
rameters involved.