Water-shield Greenhouse Concept

Shielding against radiation is considered a very difficult task. For example, a proton or alpha particle cosmic ray of "medium" energy can pass through more than a meter of aluminium, not counting the effects of secondary radiation[1]. With this in mind, it is clear that any Martian colonists would have to take a holistic approach, reducing their radiation exposure at every possible opportunity through shielding and risk-mitigating behaviour.

## Passive shielding

The Mars Foundation concept for a side-lit greenhouse.

In most cases, matter placed between a person (or radiation-sensitive equipment) and radiation source reduces the amount of radiation they absorb.

Mars One's solution is a thick layer of regolith on top of the settlement modules. An effective shield will require at least several hundred grams of regolith per square centimeter, according to one study.[2] Using a regolith density estimate of 1.4 g/cm3[3], this means the regolith layer would need to be over 2 meters deep. For concrete with an average density of 2.4 g/cm3 the required thickness might be less.

The attenuation of radiation follows the Beer Lamberth law.[4]

Ix=Io*e-ux

 Where: Ix = the intensity of photons transmitted across some distance x I0 = the initial intensity of photons (or radiation in general) s = a proportionality constant that reflects the total probability of a photon being scattered or absorbed (TBC) µ = the linear attenuation coefficient x = distance traveled (thickness of material)
Linear Attenuation Coefficients (in cm-1) for a range of materials at gamma-ray energies of 100, 200 and 500 keV.[5]
Absorber 100 keV 200 keV 500 keV
Air 0.000195 0.000159 0.000112
Water 0.167 0.136 0.097
Carbon 0.335 0.274 0.196
Aluminium 0.435 0.324 0.227
Iron 2.72 1.09 0.655
Copper 3.8 1.309 0.73

the linear attenuation coefficient µ is not commonly found in the literature, the mass attenuation coefficient µm is usually used instead. The coefficient is also dependent on the type of radiation, so a complete solution for radiation protection requires multiple analysis of the type of radiation to be protected against.

Conversion is quite simple as:

µ=µm*density of the material

List of mass attenuation coefficients[6] can be found at the NIST website. https://physics.nist.gov/PhysRefData/XrayMassCoef/tab3.html

Another common way of evaluating radiation shielding is to use the half value, that expresses the thickness of absorbing material which is needed to reduce the incident radiation intensity by a factor of two, or Ix=Io / 2.

The Half Value Layer for a range of absorbers is listed in the following table for three gamma-ray energies:

Half Value Layers (in cm) for a range of materials at gamma-ray energies of 100, 200 and 500 keV.[5]
Absorber 100 keV 200 keV 500 keV
Air 3555 4359 6189
Water 4.15 5.1 7.15
Carbon 2.07 2.53 3.54
Aluminium 1.59 2.14 3.05
Iron 0.26 0.64 1.06
Copper 0.18 0.53 0.95

The first point to note is that the Half Value Layer decreases as the atomic number increases. For example, the value for air at 100 keV is about 35 meters and it decreases to just 0.12 mm for lead at this energy. In other words 35 m of air is needed to reduce the intensity of a 100 keV gamma-ray beam by a factor of two whereas just 0.12 mm of lead can do the same thing. The Half Value Layer increases with increasing gamma-ray energy. For example, from 0.18 cm for copper at 100 keV to about 1 cm at 500 keV.

On Earth, particulate radiation is often easily addressed because the particles have low enough energies that they can be stopped by a thin shield. In space and on the surface of Mars, shielding needs to account for high-energy particles. When it comes to particulate radiation, the effectiveness of shielding increases with the mass of the shielding and decreases with the atomic mass of the elements used for the shielding. The reason that low-atomic-mass elements are advantageous is that they generate less secondary radiation when impacted by particles.[7] For example, 1kg of hydrogen offers more protection then 1kg of aluminium, 2kg of aluminium offers more protection than 1kg of aluminium and 1kg of hydrogen offers more protection than 2kg of aluminium.[8] Also, particles interact with atomic nuclei, while electromagnetic radiation interacts with electrons. So while for electromagnetic radiations the effectiveness of shielding increases with the number of electrons, and therefore with heavier atoms that have more electrons, for particles the effectiveness of radiation protection increases with the number of nuclei per volume, and lighter materials such as hydrogen have more nuclei per volume.

### Possible Shielding Materials

Comparison of Material Options
Metal Efficiency of using structural material for incidental shielding benefit; some metals block EM radiation very well Secondary radiation[9]
Plastic High hydrogen content[9] Less structural utility than metal
Water High hydrogen content[9] Liquid
Liquid hydrogen Pure hydrogen Cryogenic liquid
Regolith Obtainable through ISRU Large thickness required for thorough shielding[10]
Regolith plus epoxy Mostly obtainable through ISRU; greater hydrogen content than regolith alone; more durable and easier to shape than regolith alone[3] More complex to implement than regolith alone
Boron nitride nanotubes Low atomic numbers; boron absorbs secondary neutrons well compared to other elements; possible use as both shielding and structural material[11]; hydrogen could be stored in or bonded to nanotubes to improve shielding[12] Difficult to manufacture

## Active shielding

Active shielding against radiation involves a man-made electromagnetic field which deflects ionized particles in a similar manner to the Earth's magnetic field. Several different types of active shield have been proposed, including electric field, magnetic field, and plasma shield designs. Such fields might require infeasible amounts of energy to generate and could also pose a major risk to anyone approaching the craft or base, as it would create bands of trapped particles similar to the Van Allen belts.[1] However, the radiation exposure might be low, as traversing the magnetic shield should be a very brief event.

It might be possible to situate a base in such a location that one of the residual Martian magnetic fields offers a net benefit. Care should certainly be taken not to situate it where the fields concentrate radiation.

Also, it might be possible (assuming one could generate the required magnetic field in some way) to have the radiation belts of the habitat pass through some sort of physical barrier, which scrubs them of particles.

### Design concepts

#### Protection during transit to Mars

A straightforward approach to designing an active shield would be to surround the protected space with a spherical enclosure made of a conducting metal that is held at a positive electric charge.  Cosmic radiation and solar radiation both consist of positively charged particles, which would be repelled by the positively charged shield.

One drawback to this concept is that the shield would attract free electrons and accelerate them, creating secondary radiation when they impact the shield.  These electrons would also drain the shield's positive charge, increasing the power needed to maintain it.

This led to the idea of adding a negatively-charged outer shield to keep electrons away from the positively-charged inner shield.  However, this introduces its own problems:  the mass requirement increases substantially, and the two shields must be tightly fixed in precise concentric positions, because any asymmetry would result in a strong attractive force that would pull the two shields together.

More recent concepts have moved away from the idea of enclosing the protected space in a charged shell.  A 2006 paper described a design in which trusses extended out from a spacecraft in the x, y, and z directions.  The trusses are used to suspend individual sphere-shaped charge centers:  positive charges are held 50 m from the spacecraft, and negative charges are 160 m out.  These charges are meant to generate an electric field sufficient to deflect incoming ions approaching from any direction.  Despite the elimination of the enclosing shells, the authors concluded that the mass requirement was still too high for this design to be practical.[13]

In 2011, a concept using toroidal (doughnut-shaped) rings as charge centers was studied.  Three conductive rings, each with a 45 m radius, are positioned with their axes of symmetry along the x, y, and z axes, and held at a positive voltage.  In addition, six negatively-charged spheres are suspended from trusses, 160 m out.  For comparison, the researchers ran simulations of this design and a similar design that used only spherical charge centers.  Both designs offered good protection from SPE.  The toroid design was more effective against GCR.  Ring thicknesses of 1, 5, and 10 m were simulated, showing effectiveness against GCR increasing as a function of thickness.  To minimize the mass of the shield, the use of an electrostatically inflated membrane structure was proposed for the charge centers: instead of using a rigid metal, the charge center surfaces would be made of a flexible membrane with a conductive coating.  Unlike a balloon that is inflated by filling it with a gas, this type of structure would inflate to its intended shape when electrically charged because of repulsion between like charges distributed across the membrane.[14]

A 2012 paper by Westover et al. described a design that used a magnetic field.  The field could be generated by multiple layers of superconducting material wrapped around a cylindrical spacecraft in double-helix-shaped coils.  Their simulations of this design found that a large, weak field was easier to generate than a small, intense field of equivalent shielding effectiveness. They also examined another design, a cylindrical spaceship surrounded by six exterior solenoids, each centered on a separate central axis (unlike the double helix design, in which the magnetic coil and the spacecraft are co-axial).  To reduce the magnetic field inside the spacecraft, a compensation coil, with a current moving in the opposite direction, would surround it.  Overall this design was judged to be preferable to the double helix design. Shortcomings of the latter design include the fact that the multiple layers of coils make it difficult to design a shield that can be compacted for launch and later expanded in space.  In addition, it would be more difficult to block the magnetic field intruding into the spacecraft because the field strength varies more at different points within the spacecraft; problems might also arise from forces created by the magnetic field acting on the shield or spacecraft.[15]

#### Minimagnetosphere

A minimagnetosphere[16] may be a viable alternative to the strong local magnetic fields described above. Minimagnetospheres have been detected on the Moon[17], and indications show that they have modified the interactions of the solar wind with the surface. The concept uses an electric field rather than the magnetic field. An plasma cloud is created around the vehicle by injecting charged particles and kept in place using a small superconducting magnet at the vehicle. The electrical charge can deflect particles due to the large size on the minimagnetosphere, that can reach a number of km in diameter. This solution might be particularly applicable to a cycler type vehicle.

## Risk-mitigating behavior

The possible sources of radiation on Mars are man-made sources, such as nuclear reactors or medical equipment, solar radiation, galactic cosmic radiation and naturally occurring radioactive elements on Mars.

Possible behavioral choices which minimize the risk from these include:

• Avoiding daytime EVA when there is a significant risk from solar radiation.
• Working preferentially close to natural or man-made objects, such as habitats, rovers or cliffs which provide additional (if not omni-directional) shielding.
• Entering a storm shelter when there is a high-radiation risk from solar particle events.

## Example of using shielding and behavior to reduce radiation dosage

We can combine passive shielding with risk mitigating behavior to achieve low radiation exposure but still allow for some views of the exterior through windows. For example:

• Martian background average radiation is 240-300 mSv per year[18].
• If you sleep in a radiation shielded space such as underground rooms with a thick regolith cover, 8/24 hours, then the dose would go down by 1/3, to 160-200 mSv per year.
• If you spend most of your living (work, study) time in a radiation shielded space, then your dose becomes another 1/3 less, or 80 to 100 mSv.
• With overhangs and a radiation proof roof, 70% of the incident radiation to a space close to windows can be stopped by geometries, then the dose is down to 20 to 25 mSv.  this is about the 20 mSv per year for a 5 year period that is recommended for radiation workers.
• Part of the surface dose on Mars is solar proton events (SPE).  These are predictable and detectable, and a large settlement will mostly be built of shielded areas.  So during Solar Proton Events you should stay away from the windows. This behavior might reduce the yearly radiation load another 25%, down to 15-18 mSv per year.
• What is the portion of the dosage from SPE?  I have a weak reference that puts this at 30%.  If correct, then the radiation load from large windows under a radiation proof ceiling is acceptable.
• Mars should be low in radon because it seems to be low in Thorium and, by analogy, Uranium as well. However, the habitats are totally enclosed spaces and radon generated by radioactive decay of naturally occurring uranium in the soil might accumulate. As 1 to 3 mSv on Earth comes from atmospheric radon[19], this part of the yearly load might go away, just as it might need to be mitigated if radon accumulates in the enclosed habitats.
• Even just 1/2 to 1 inches of glass reduces radiation dosage significantly.

If the above is correct, then large windows are not really an issue.  Geodesic glass domes over public spaces might be a poor choice, unless there is an understanding that you don't spend more than 2 to 4 hours per day under them.

## References

1. Operational medicine and health care delivery - J.S. Logan, in S.E. Churchill ed. Fundamentals of space life sciences, Volume 1 - 1997, ISBN 0-89464-051-8 pp. 154-156.
2. Slaba, T. C., Mertens, C. J., & Blattnig, S. R. (2013). Radiation Shielding Optimization on Mars. NASA/TP–2013-217983. Retrieved from https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20130012456.pdf
3. Kim, M. Y., Thibeault, S. A., Simonsen, L. C., & Wilson, J. W. Comparison of Martian Meteorites and Martian Regolith as Shield Materials for Galactic Cosmic Rays. NASA TP-1998-208724. Retrieved from https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19980237030.pdf.
5. https://en.wikibooks.org/wiki/Basic_Physics_of_Nuclear_Medicine/Attenuation_of_Gamma-Rays