# A commentary on: "Nomograma of a landfill (MSW)-setting m parameter values"

**Danila Vieru PhD**

^{*}**Danila Vieru, Romanian Environmental Expert, Bucharest, Romania,**

^{*}Correspondence:**Tel:**40 0214301577,

**Email:**[email protected]

Received Date: Oct 27, 2017 / Accepted Date: Dec 01, 2017 / Published Date: Feb 24, 2018

**Citation:** Vieru D. A commentary on: "Nomograma of a landfill (MSW)-setting m parameter values". J Env Chem Toxicol. 2018;2(1):20-22.

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Any type of the municipal solid wastes known as MSW (excluding the potential radioactive waste) are continuous generated and must have an increasing concern from all factors involved, such as: waste generators, economical operators belonging to the waste management, local and central authorities, all of them being involved into a friendly waste management regarding the environment. At the legitimate question: how the adequate management of the landfill (MSW) wastes will influence the climate changes is possible to answer as follows:

• Bio-degradable wastes, without economic value, have potential gas emission leading to greenhouse effect;

• Un-recyclable wastes, e.g. paper and cartoon, textile, wood and straws from garden and parks are also responsible and have a contribution to the greenhouse effect;

• The mud from used industrial water treatment plants, water connected with the house using, mud from zootehnic farms have an important contribution to the greenhouse effect gas emission generation;

• Industrial wastes (MSW) together with the wastes from medical sector have also an important potential for greenhouse effect.

It is already known that the greenhouse effect gases (6 identified gas types
were identified) are dangerous for the global atmosphere heating, among
them CH_{4} is the most dangerous one.

CH_{4} present a special attraction for investors, in the same time, because of
its economic value [1-3].

The article: “NOMOGRAMA of a landfill (MSW)—Setting m Parameter Values” presents the analytical way for “m” parameter setting values.

When a certain quantity of deposited waste (responsible for annual CH_{4} gas
emission quantity) is degraded this m parameter (number of months, at the
calculus year) is setting up. For this reason Introduced the term “temporary
mathematical equation” of a MSW deposit having the form:

3t+7=13-t

This equation is the result of the following judgment: if 7 accumulate at 3 times the time of stationing a quantity of municipal waste (MSW) on a site, the same result is obtained when a time (expressed in months -m-) of number 13 is obtained [4].

In such a way any quantity of the landfill waste deposited (MSW), conforming or non- conforming, can be approached by using the prior mathematical equation presented.

At the international level there is a mutual understanding, so that in the first year of MSW depositing on a landfill, expressed by equation:

3t+7=13-t

An incipient gas emission took place [5-7]. This emission could be expressed by formula: 3:7=0.43. So the m value is 0. After the 2nd year of depositing is over the MSW landfill deposit, the equation expressing gas emission, at every calculus year, became:

(3+8n)t+7=(12n+13)-t

From the mathematical point of view, the equation has the solution:

t=(12n+6)/(4+8n)

for every n∈N were:

t – is the equation’s “x”, t being expressed by number of months, m;

n - number of the calculus year AT

With regarding to the MSW waste degrading the information offered by the
solution of the equation is incorrect [8]. The MSW waste degrading means
the moment when the DOC (dissolved organic carbon) phase is reached and
CH_{4} together with other greenhouse gas emissions are present.

It is to be noted that, in spite of the fact that currently is speaking by annual degrading, in reality, this degrading took place within a time counted in number of months, m, m ϵ N. This degrading is happened according to the environmental conditions and the m values belong to a limited interval by natural numbers,

M ϵ [7,18] or 7 ≤ m ≤ 18.

At an MSW landfill the waste depositing is happening within a calendaristic year, AC (which starts at 01.01 and ends at 31.12). The calculus year, AT related to the estimation of gas emission, is smaller with 6 months than AC (international community accepted that the waste deposited within last 6 months of the AC -31.07 ÷ 31.12- remains undegraded or with an incipient one.

The calculus year AC is the year after the calendaristic year AT of the waste (MSW) depositing is over. The equation of the first year calculation, after the 2nd year of depositing is over, is (for n=1):

11t+7=25-t.

The equation of the 2nd year calculation n =2, is 19t+7=37-t, etc.

I have to remind that 2 conditions are absolutely necessary to set-up m values
(number of months), at the calculus year A_{T}

• m ϵ [7,18] or 7 ≤ m ≤ 18, m ϵ N;

You have to pay attention to the following conditions:

• The person who is in charge for setting up NOMGRAMA of an MSW landfill has to have enough experience in the waste management field. If a computer software it will be used, there is the possibility to have a blockage it in waste management and to say that “the approaching of NOMOGRAMA setting up values is wrong”.

The m values established at the calculus year-AT have no connection
with waste depositing quantities. The quantities of landfill MSW
waste degraded which leads to the CH_{4} gas emissions are generated by
the m values, at the calculus year AC. From this reason it is absolutely
necessary to know the annual MSW deposited quantities. The
collecting CH_{4} MSW deposits have to share the information to the environment authority, annually [9].

For the CH_{4} gas emission calculation period belonging to the calculation
year 1 – AT1 and the year 8-AT8, the m parameter establishing relation is: ,
known as the Vieru 1 relation.

Where:

• F.T.R –free right term of the eq. 2;

• 7- a natural number which means: if 7 accumulate at 3 times the time of stationing a quantity of municipal waste (MSW) on a site, the same result is obtained when a time (expressed in months -m-) of number (12n+13) is obtained).

• for the m establishing values, starting with the 9th calculus year (eq. 2-9)

• 75t+7=121-t) up to the year 30, the following relation should be used:

• , known as Vieru 2 relation.

• Approximately approximates the value of m to the year of calculation.

• Within the Vieru 2 relation, the terms have the significance:

• F.T.R- free right term, eq. 2;

• C.t.L – t left coefficient eq.2;

7- 7- a natural number which means: if 7 accumulate at 3 times the time of stationing a quantity of municipal waste (MSW) on a site, the same result is obtained when a time (expressed in months -m-) of number ((12n)+13) is obtained.

The established calculus relation can be applied to all conform or nonconform MSW landfill deposits to capacity >10 Gg/year.

Usually the lifetime of a landfill MSW deposit not exceed 30 years. After
MSW landfill waste depositing is over, the CH_{4} gas emission is decreasing and quits after 25 ÷ 30 years. In this case the calendaristic year-A_{C}–is identical
with the calculus year, A_{T}, e.g. A_{C}=A_{T}.

**The friendly environmental MSW depositing management significance**

It is known that having deposits with capacity between 80÷800 Gg or more (deposits with capacity less than 80 Gg being closed), this measure will lead to the followings:

• Increasing Auto Park for wastes collecting,

• Road infrastructure improvement in order to be able to collect the waste from all locations and increasing the lifetime of the MSW waste collection trucks,

• Proper identification of the CH_{4} gas emission moment when it can
be burned or collected,

• Adding of CH_{4} in significant quantities, so the investors should put
in practice their projects,

• Investments within the friendly environment waste management condition will lead to new job opportunities [10].

Collection of the CH_{4} gas emissions, on site, for MSW landfill deposits will
lead to an annually reducing of the greenhouse gas effect with a percentage
of 1 ÷ 2%. This aspect will have, as a consequence, an environmental
temperature reducing by minimum 1°C. Increasing of CH_{4} gas emission as
an energetically resource, it is to be noticed, also.

### Conclusion

The approach of a deposit gas emission (LFG), mainly CH_{4} taking into
account the degraded MSW quantities, at the calculus year AC, will lead to a
correct estimation of CH_{4} gas emission quantities

It is clear that the Vieru’s (1,2) application method for the estimation of the
CH_{4} quantity from the Romanian MSW landfill waste deposits, conforming
or nonconforming, should be an important alternative among the existing
calculus relations already, on international level too.

It is to be noted that MSW deposited quantities are absolutely necessary to be known, as a common factor but the approach way has to be as follows: time, expressed in months-m- is the factor which have a decisive contribution to the MSW wastes degradation up to the DOC (dissolved organic carbon) phase.

Another example of the Vieru’s (1,2) method application related to the CH_{4} gas emission calculation is given in the **Figure 1.**

**Figure 1:** Graphic evolution of the greenhouse effect at the conform MSW landfill –Chitila-Rudeni-Iridex, 8 Bucharest-Ilfov region, for the period 2000÷2016, brown
colour – CH_{4} gas emission quantity, uncollected within the period 2000÷2010 and after collection, within the period 2011÷2016, blue-open colour, CH_{4} gas emission
quantities, collected within the period 2011÷2016, orange-yellow color, 〖CO〗_2 equivalent within the period 2000÷2016, It is to be observed a significance reduction of
the greenhouse gas effect starting with the year 2011

In **Table 1 **the msw Chitila-Rudeni-Iridex (8 Environmental region
Bucharest- Ilfov) conform deposit NOMOGRAM for the period 2000 ÷
2016, is presented.

Landfill (MSW) Chitila -Iridex, 8 Environmental Region-Bucharest-Ilfov | ||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

Years of storage | ||||||||||||||||

2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 |

Quantities of waste (MSW) stored [Gg] |
||||||||||||||||

43,536 | 361,157 | 361,656 | 309,421 | 349,464 | 384,451 | 367,985 | 245,497 | 448,694 | 434,852 | 425,521 | 361,000 | 371,568 | 338,340 | 306,276 | 272,554 | 310,499 |

m [number of months], values, according Nomogram deposit |
||||||||||||||||

0.0 | 9.0 | 7.0 | 14.0 | 13.0 | 12.0 | 11.0 | 9.0 | 8.0 | 7.0 | 10.0 | 7.0 | 9.0 | 11.0 | 11.0 | 8.0 | 10.0 |

CH_{4} [Gg]. collected |
||||||||||||||||

0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 5.640 | 5.355 | 5.086 | 5.363 | 6.968 | 5.790 |

**Table 1:** Nomogram landfill (MSW) chitila -iridex, 8 environmental region, bucharest-Ilfov for the period 2000÷2016, 2000-2016, [years of
storage],43,536,361,157,361,656, .....371,568,338,340.......310,499 quantities of wastes (MSW) stored [Gg], 0,0,9,0,7,0........10,0,
7,0,...11,0..8,0,10,0 m [number of months], values, according to Nomograme deposit,0,0,0,0..................5,640, ....6,988,5,790 CH_{4} collected, [Gg],It is to be stated that by using actual calculus relation, according to the References 7, 8, 9, it is possible to estimate
CH_{4} gas emission quantities, but with more information data than the determination of m parameter values at the calculus year, AC
. so, there are no contradictions between, these 2 approaching ways

### References

- Vieru D. Nomograma of a landfill (MSW)—setting m parameter values. Atmos Clim Sci. 2017;7:436-54.
- Vieru D. A new approach method of CH
_{4}emission estimation from landfills. 2017. - Mihoc G. Small mathematics encyclopedia. Technical Publishing House, Bucharest. 1980;93.
- United Nations Framework Convention on Climate Change (UNFCCC).
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- The Doha Amendment Adopted at Doha on 8 December 2012, of the Kyoto Protocol to the United Nations Framework Convention on Climate Change Adopted on 11 December 1997. 2012.
- UN Conference on Climate Change in Paris. 2015.
- Council Directive. Landfill of Waste. 1999.
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