What is the structure of the interstellar medium on a galactic scale? In maps I've seen, the interstellar medium typically forms a shell around the sun a few hundred lightyears away.
This is a fascinating and very complicated topic. I wanted to create a separate topic in the forum since last year, called "Atlas of the Solar Neighbourhood", where we can do the detailed insight this thing merits. I will launch it given enought time (and study).
For now let me adress at least the concern of the maps been inconsistent. Making good visualizations and maps of what essentially is just a gas is very difficult. Even if you know the actual shape and density distribution of it you have to realize that a few things make it very hard to visualize. There are several issues related to this:
1) When we represent a 3D structure in a 2D map we lose a lot of information. We can tackle this by making different 2D maps from different perspectives. For example one that uses the Solar to Galactic Center line as the x-axis and the Solar - North Galactic Pole line as the y-axis (perpendicular to the galactic disc), the so called UW plane (to note the vertical structure of the galactic disc), another that uses the same x-axis but lies on the galactic plane, with the y-axis pointing in the same direction as the Sun moves, the so called UV plane (to better visualize the disc structure around us), and many other possible projections of the actual 3D structure. We can also make an equirectangular projection of what we see from Earth radially. But as I say, translating 3D objets to 2D representations (or any lowering in dimensions) always comes to a cost in the amount of information.

A very simple example is this object that can be projected linearly into a circle, a square or a triangle (all very different shapes with very different qualitative descriptions) depending only on your choice of perspective.
The Interstellar Medium is shaped in a very intricate way so you have to choose what information is the one you want to prioritize in your representation. Looking for the Gould Belt for example (a ring of blue stars that surrounds the Solar System with 1500 ly in radius and that is almost parallel to the galactic plane) from the UW plane perspective you would only see a line and all the visual information about the ring shape is lost by squishing. On the other hand, the UV plane perspective gives the ring information but since you squish everything vertically in the galactic disc you no longer have a reference as to how inclined is this plane with respect to the disc. These decisions make interstellar structure maps often complicated to interpret.
In fact there are features that no shadow-casted perspective allows for a good visualization into a 2D map! For this reason data scientists have invented
PCA and other
dimensionality reduction algorithms that transform a 3D system into a 2D map in such a complicated way as to allow the specified feature to be clearly separated from the mess but with the downside that axes are no longer equally measured nor perpendicularly oriented between themselves and can even be distorted in non-linear ways to reach that goal (which makes the intuition about the actual 3D distribution of the entire ensamble go insane even if now you can clearly see some specific part of it). You might have encountered these representations in scientific articles.
They are no inconsistent, they are only different perspectives depending on the focus of the research. The actual 3D distribution is actually fairly modeled.
2) There is no solid surface but a solid volume so we have to make slices. Since the gas is a volumetric object it is not enought to represent it as a solid blob with opaque exterior. Sometimes you want to get some insight on what is inside of it. So to do that you need to make a cut and dissect the object. By doing so you lose information about the enclosure but gain information about the internal structure. We all realize how missleading a slice of a human body is to understand what a person looks like from any conceivable angle but how usefull is to make these kind of representations to help visualize the shape of different organs and how they are connected. The same goes for the interstellar medium, there are artistic representations that show the view from the outside but several shells and clouds overlap and you lose the details of the ensamble, and there are representations that show things as you would see them if you made a cut somewhere.

For example, this is a representation of the 815 ly around the sun as viewed from the UV plane perspective (top-down view from above the galactic disc). But is just a specific slice of it, the UV plane that crosses the Sun. Here you can see a more or less consistent region of low density medium (the Local Chimney) surrounded by denser walls (and huge gaps called tunnels).
This is not a closed irregular cavity but is opened from above and below the galactic disk. You can see that from the UW perspective and sliced so that the sun is contained in the plane:

I'm not going to explain in detail here but the chimney is the result of several overlaping cavities generated by supernovas a few million years ago in this region of the disc (the sun is unrelated but we have been traveling inside this structure for some ten million years now and we are currently just in the middle). These, more or less spherical, cavities have been compressed by the pressure of the gas in the disc, squished until they have poped into the less pressurized region above and below the disk, creating this cilindrical lower-density medium.
If we didn't sliced the first representation we would have seen gas everytwhere since the chimney has it's axis inclined with respect to the perpendicular of the galactic disc and thus there are parts of the upper exit that would obstruct the view of the inner part of the chimney and the same goes for the lower exit. A good perspective would be the view from a certain angle so you can peer through the chimney to the other side, but since it has an hourglass shape (the chimney gets thinner in the middle and opens at the exits) you would always miss information about the walls of the opening of the other side. So you really need to make a cut in the structure and visualize it with slices.
The UV cut made to contain the Solar System might not even be very helpfull for other purposes. Another UV plane sliced at another hight (paralell to the first UV plane) might be much more interesting. Maybe we have lost a tunnel in intergalatic medium connecting the chimney in the side to other structures nearby just because the tunnel was higher up in the chimney and we decided to make the cut at solar hight. These are one of the many problems in trying to represent these features.
Just so you have an actual example of this,
here they've made many different slices, all aligned y-axis to the North Galactic pole and rotated 15º degrees each (all the slices centered on the solar system). You can see how the apparent shape of the local chimney changes as we move around.

There is no inconsistency in the mappings is just a matter of perspective and good slicing. Different but complementary visualizations that yield different information about the real structure.
3) We are talking about a gas not any volumetric object. Gradients are tricky. What is the wall of the local chimney? This might seem a simple question but since we are dealing with gases and they tend to be distributed in continuous gradients of density the way we establish the boundary comes to a decision that can make for very different visual representations. If we take density as the feature to be taken into account then before visually representing the structure we need to mark an equal-density surface (a threshold to signal the transition between the lower densities under consideration and the higher ones).
Just so you see the extreme differences caused by different iso-density surfaces selection take a look at this.
Here they've added countour lines to the interior of the local chimney as seen in the UW plane cointaining the Solar System. The countour lines are nothing else than the result of slicing the iso-density surfaces.
As you can see the lower density region is not only smaller but completely different in shape as other boundaries marking higher densities. Adding more countour lines helps to grasp the density gradient of the gas, but can be a mess to have it in a detailed map. So maps have also to choose the threshold to which they determine the boundaries of different structures in the interstellar medium. That is another reason for apparent discrepancy in visual representations.
Look at this depiction of the local chimney
Again, we are not getting information of what is inside and how it's structured. So a solution is to create 3D renders on which the equal-density surfaces are many and semitransparent so you can see the others. This is what they did in this animation of the entire solar neighbourhood:
[youtube]DsaVYF7h_VM[/youtube]
As you can see it is still very difficult to extract a meaninful description of what you see in here. Also video and 3D rederings are not a good for printed articles.
4) Fail to explain the structures involved and confusion. Scientists not always explain these structures in a orderly, schematic and clear way when it comes to communicating to the public. The thing is that the stellar neighbourhood cosmography is almost like a Matryoshka doll. The solar system is embeded inside the Local Interstellar Cloud (LIC) which is interacting with another gaseous medium called the G-cloud (which contains the alpha centauri system and other nearby stars in that direction). Both the LIC and G-cloud are less than 10 pc in size, and both reside inside the Local Bubble which is around 300 pc in size, but the Local Bubble is just an undifferentiated part of what is now known as the Local Chimney which is in the 800 pc regime. All of this is part of a region called the Orion Spur, which is a branch of the Orion spiral arm of the Milky way. Inside the Local Bubble
we know of around 15 clouds (like the LIC and G-cloud). They deform and interact one with the other and are subjected to stellar wind forces from our closest neighbours. These clouds have filamentary structures at the scale of parsecs due to the magnetic field of the galaxy shaping them, in a similar way as the iron filings behave when exposed to a bar magnet, following the magnetic field lines.
The Local Bubble at another scale is also not alone. Connected to it by interstellar tunnels in the gas there is the Loop I bubble and other structures of hundreths of parsec in size.
They are not filamentary like the much smaller interstellar clouds inside the bubbles, they are shaped like spherical and cilindrical cavities (results of supernova shells overlapping toghether). It is indeed like cheese in the sense that there are lots of tunnels connecting these "voids" traversing the more dense walls of the galactic interstellar medium.
Besides all of this, many do not fully realize the fact that these clouds and bubbles are essentially vacuum. The thing is that clouds like the LIC are 0.3 atoms per cm
3 dense, that the bubble is floats inside (the Local Bubble) is empty in comparison with just 0.05 atoms per cm
3 and that these bubbles are pressed against by the interstellar medium of the rest of the galaxy which is almost as ethereal as the clouds inside the bubbles with just 0.5 atoms per cm
3. But 0.3, 0.05 and 0.5 atoms/cm
3 is essentially the same as a vacuum. In fact all of them have lower densities than the vast majority of vacuum chambers on Earth (and still they are clouds, and material mediums that interact). When viewed from the scale of a galactic sized creature these are indeed dense gasses with clear differences, from our perspective it is just a huge void filled with stars.
Another source of confusion is the fact that scientists consider different things clouds and bubbles in relation to their surrounding material. For example, if the LIC was located outside the Local Bubble in the interstellar medium of the galaxy then it wouldn't be considered a cloud but a void (or a small bubble), since it is less dense than it's surroundings. But since it is inside a less dense bubble which is encapsulated in a more dense medium we talk about is as a cloud. So this relative designation yields a lot of confusion when talking about other structures. Remeber, it's all relative to its inmediate surroundings.
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If you want to read about this I can reccomend some easy to follow explanations from the very basics. Also there are awesome maps made to explain this architecture in detail and not only to point some specific feature while obscuring others as research papers tend to do.
For the 100 pc to 600 pc surroundings of the Solar System:
For the 600 pc to the 4000 pc we have this
http://gruze.org/galaxymap/poster4/
Also I highly recommend this NASA video about the results from the IBEX mission which explores the smallest scale of all of this, the immediate
surroundings of the Sun and the LIC and G-clouds:
[youtube]h3K4SdEyhg4[/youtube]