The concept of water potential in plants tries (and succeeds) to explain various movement and transports in plants. I have learnt that it can be though of being composed of various components like the solute (osmotic) potential, Matric potential, gravitational potential and the pressure potential. I know how to quantitatively determine the osmotic pressure and have worked with the chemical potential of water in solution and pure state. Can someone help me develop an intuitive understanding of all these components quantitatively? I am comfortable with basic thermodynamic treatments of chemical potential and already have an intuition of the osmotic component. Here is the basic definition regarding water potential. (Since this pdf is quite old, I am not sure whether the same definitions operate or rather are used now.)
EDIT:- As an example, we can derive the lowering of chemical potential of pure water on addition of solute and for the ideal case, the lowering turns out to be $RTln(X_a)$ (where $x_a$ is the mole-fraction of solute, $R$ is the gas constant and $T$ the absolute temperature) and this is defined as the osmotic potential or the solute potential. Next, the gravimetric component. We can intuitively understand that the water must flow from higher gravitational potential to lower and hence flow downwards. But I want to understand how can we assign a quantitative basis to our arguments in terms of chemical potential for differenf heights. Same way, how can we ascribe a mathematical (or chemical) basis to all the components of water potential including the turgor pressure and the matric components.