Technical field
[0001] The present invention relates to structures comprising tanks, and in particular to
a method of determining geometrical characteristics of a structure comprising tanks
for containing oil or gas from offshore wells, and to related apparatus such as marine
vessels, for example a floating production, storage, and offloading (FPSO) vessel.
Background
[0002] Large scale tanks are used for example in the oil and gas exploration and production
industry for storing fluids. In the production of fluids from a subsurface well, a
floating production, storage, and offloading (FPSO) vessel is sometimes employed.
Such a vessel may then be used to store the fluids from the well, typically from several
wells, for a period of time.
[0003] FPSO vessels are typically moored on site for substantial periods of time, such as
weeks, months or years during which they are used to produce hydrocarbon fluids such
as oil and gas from such wells. Accordingly, the FPSO vessels are normally provided
with production equipment through which the fluids from the well are received onto
the vessel. The produced fluids may then be stored on the vessel for a period of time
until they are offloaded onto shuttle tankers which transport the fluids away from
the FPSO vessel to a land facility for processing. The fluids are typically stored
on the vessel in various tanks within the hull of the vessel.
[0004] Existing designs for FPSO vessels are typically based upon those of ocean going commodity
tankers, e.g. crude oil tankers and the like, and some FPSO vessels are a result of
conversions from earlier such tankers.
[0005] Accordingly, FPSO vessels are normally highly slender structures that are boat-like
in shape and appearance. For example, the "Prelude" Floating LNG vessel currently
under development has a hull length of 488 m and breadth of 74 m. The overall length
of the hull divided by the overall breadth results in a slenderness ratio of about
6.6. Platforms with a circular hull section also exist as FPSO vessels, such as the
FPSO "Pi-ranema Sprit".
[0006] Clearly, substantial quantities of construction materials are typically required
in order to construct FPSO vessels to provide the necessary storage capacity, etc.
The FPSO vessels once constructed also need to be in compliance with industry standards
and/or regulations. This places restrictions on how the FPSO vessels can be designed,
and in turn on the consumption of materials, fabrication and project costs. Regulations
may typically require that the tanks cannot exceed certain volume limits, such that
an arrangement of multiple tanks may typically need to be provided for storing the
fluid from the wells. Containing walls in the tanks normally need to be formed from
steel plates, and typically each such wall may use at least three plates in the breadth
dimension. Regulations also specify, for example, that personnel accommodation structures
cannot be placed directly above the tanks used for the storage of the fluids from
the well.
[0007] There is a need for FPSO solutions making more efficient use of space and materials
whilst complying with constraints imposed from regulations and standards.
Summary of the invention
[0008] Various aspects of the invention are provided as set out in the claims appended hereto.
[0009] The invention is defined by the features of the independent claims 1, 6 and 7, concerning
a method, a computer program comprising instructions to carry out said method, and
a data carrier with said program.
[0010] Embodiments of the invention are advantageous in various ways as will be apparent
from the specification throughout.
[0011] The term "ship" is used herein to refer to a ship complying with established offshore
classification rules and standards, issued by a Recognized Classification Society,
which is a member of the International Association of Classification Societies (IACS).
Description and drawings
[0012] There will now be described, by way of example only, embodiments of the invention
with reference to the accompanying drawings, in which:
- Figure 1
- is a schematic representation of a prismatic 2x4 tank arrangement;
- Figure 2
- is a representation illustrating the relationship between orthogonal wall surfaces
for a minimal surface area of plates in the tank arrangement of Figure 1;
- Figure 3
- is a schematic representation of a prismatic 5x5 tank arrangement and side ballast
tanks;
- Figure 4
- is a schematic representation of a cube geometry;
- Figure 5
- is a schematic representation of a prism geometry;
- Figure 6
- is a schematic representation of a prismatic 2x4 tank arrangement;
- Figure 7
- is a representation illustrating the optimized relationship between weld edges in
the tank arrangement of Figure 6;
- Figure 8
- is a schematic representation of a prismatic tank arrangement with side ballast tanks
and an additional bottom tank;
- Figure 9
- is a schematic side plan view of an FPSO ship according to an embodiment of the invention;
- Figure 10
- is a representation of a hull for an FPSO ship according to an embodiment of the invention,
including a tank arrangement for storing fluid from a well, optimized for minimal
surface area; and
- Figure 11
- is a representation of a hull design for the FPSO ship of Figure 5.
Determining geometrical characteristics of tank arrangement
[0013] Turning firstly to Figure 1, a 2-dimensional matrix tank arrangement 10 is illustrated.
Such an arrangement 10 may be used for storing fluid from a well, usually several
wells, in the hull of an FPSO vessel. The tank arrangement 10 has a number of tanks
formed by first, longitudinal plates 100 (first wall plates) and second, transverse
plates 102 (second wall plates) which intersect and are arranged crossways with respect
to the first plates 100. It will be appreciated that the first and second plates 100,
102 are spaced apart from each other in the respective length and breadth directions.
The first plates 100 are arranged in parallel with one another. The second plates
102 are also arranged in parallel with one another. A series of storage tanks 103
for the fluid are thereby defined in the tank arrangement by the intersecting plates
100, 102. The tank arrangement further has parallel top and bottom plates 104, 105.
The tank arrangement 10 has an overall Breadth B, Depth D, and Length L in orthogonal
directions.
[0014] The surface plate area of any possible such tank arrangement 10, can be represented
by the following equation:

where the two variables
x and
y are the number of transverse plates 102 (
BD-plates) and longitudinal plates 100 (
LD-plates), respectively. In other words, the overall surface area of the plates is
equal to the sum of the surface areas of the transverse plates 102, the surface areas
of the longitudinal plates 100, and the top and bottom plates 104, 105.
[0015] In the case of the FPSO vessel, there is only one layer of the tanks permitted. Tanks
cannot be placed one above the other. Accordingly, the tank arrangement has only the
top and bottom horizontal plates 104, 105 (parallel with LB-plane), and thus the number
of plates is always 2 in Equation 1. As can be seen, Figure 1 provides an example
of a 2 by 4 tank arrangement, where
x is 5 and
y is
3.
[0016] The overall volume of all tanks, i.e. the tank arrangement as a whole, is given by:

[0017] The optimum, i.e., the minimum area A can be represented by the following non-linear
programming (NLP):
subject to (
s.t.)
V =
LBD
[0020] Multiplying Equation 5a with L and rearranging gives:

[0021] Similarly, multiplying Equation 7a with
D and rearranging gives:

[0022] Since the right hand side of Equation 8 is identical to the left hand side of Equation
9, the following is obtained:

[0023] As can be seen, the expression of Equation 10 includes all parts of the right hand
side of Equation 1. The three parts on the right hand side of Equation 1 are individually
identical with one another, which for the 2 by 4 tank matrix arrangement is illustrated
graphically by Figure 2 (this is same tank arrangement as in Figure 1, where
x equals 5 and y equals 3).
[0024] The above only gives the relations between
L, B and
D at the optimum. An explicit solution is sought for
L, B and
D assuming that the tank configuration and cargo volume is given. Accordingly,
L, B and
D are expressed as functions of x,
y and V.
[0026] Although NLPs with 3 independent variables rarely can be solved explicitly and various
algorithms and codes must frequently be used, this NLP is unique and explicit.
[0027] The determination of
L, B and
D from Equations 11a to 11c is a true global optimum and there are no local optima.
Moreover, it is the overall
L, B and
D combination that gives rise to the optimum and not the location of the internal plates.
The internal plates can actually be moved, creating different individual tank sizes
whilst remaining at the optimum in terms of the overall surface area A of plates used
in the tank arrangement. For example, variants are possible where a particular tank
row can have different breadth than other tank rows, as long as the overall breath
is kept constant. The same is of course valid for the longitudinal plates.
[0028] Figure 3 gives an example of such a variant, where plates are positioned such the
tank arrangement has central rows of tanks 110c for storing fluid from the well with
a greater width than the side rows of tanks 110a, 110b for ballast. However, the overall
L, B and
D dimensions of the tank arrangement as a whole is optimal in terms of surface areas
of the plates, in accordance with the theory as explained above.
[0029] By optimising for the surface area, i.e. minimising the surface area, for the number
of plates and total volume capacity, the required steel plate material and cost can
be minimised correspondingly.
[0030] By evaluating Equations 11a-11c, the Length
L, Breadth
B and Depth
D can be determined, e.g. calculated or estimated, for an optimal tank arrangement.
A volume
V is provided initially, which may be a desired storage capacity volume for the tank
arrangement for the FPSO vessel, and the number of plates
x and
y are determined, e.g. by a determination of the number of tanks required, and noting
the maximum required tanks size requirement for compliance with regulations. Conversely,
the overall volume capacity for a minimum of area
A of plates (given
x and
y) can be determined for a certain available length
L, breadth
B or depth
D.
[0031] The derivations above are provided on the basis of minimising surface area. With
reference now to Figures 4 to 7, a further derivation is provided from considering
the amount of welding or total weld length for welding the edges of the plates in
the matrix tank arrangement.
[0032] In assessing the edges in an n by n matrix, consider the cube in Figure 4. It has
a total of 12 edges. There are 4 edges in each of the three planes. The total length
of edges for the cube is given by:

[0033] For a prism as shown in Figure 5, the sides(s) can be of different length in the
three directions, denoted
l,
b and
d. The total length of the edges in a rectangular prims is given by:

[0034] Now, with reference to Figure 6, consider that several cubes or rectangular prisms
are put into a tank arrangement 50 with overall dimensions of
L, B and
D as illustrated. The tank arrangement comprises a 4x2 matrix of tanks 503 identical
to the tank arrangement 10 of Figure 1, with an overall size of L,
B and D.
[0035] The sum of all edges, understanding that several of the edges are shared between
adjoining tanks is given by:

[0036] We want to minimize the total weld length E for a given volume V, therefore the NLP
to be solved can be written as:

s.t.
V =
LBD
[0038] An optimum can be where the partial derivatives are equal to zero. By rearranging
and substituting using the above equations in a similar way that was done when developing
the minimum plate area (as described with reference to Figures 1 and 2), the minimum
edge length is where the following is true:

This relationship of Equation 17 is illustrated graphically in Figure 7 for the tank
arrangement 50 in which
x = 5 and
y = 3.
[0040] Now we see that the derived Equations 18a-18c are the same set of equations as Equations
11a-11c as used for finding the minimum plate area. Equations 18a-18c gives the overall
dimensions for the tank arrangement optimised for minimum weld length E. This indicates
that the two optima i.e. minimum plate area and minimum edge length, coincide. Accordingly,
the overall dimensions for the tank arrangement obtained through Equations 11a-11c
or Equations 18a-18c are the same and are optimal for the weld length and the plate
area.
[0041] In Figure 8, a tank arrangement 60 is illustrated. The tank arrangement 60 comprises
ballast tanks 613a, 613b at the flanks, and cargo tanks 613c centrally, and is identical
to that of Figure 3 except that the tank arrangement 60 includes an additional bottom
tank 613d, in effect adding a tank layer in the depth dimension. Whilst the derivations
above specify only two tank plates in the vertical (see the number 2 in third term
of the right hand side of Equation 1), a similar derivation can be provided to give
the optimum (area minimised) solution for the overall
L, B and
D for three tank plates in the vertical (depth dimension) as indicated in the arrangement
60 of Figure 8, or for a further number of such plates.
[0042] It will be appreciated that steps for determining the overall dimensions of the tank
arrangement L, B, and D may be implemented by suitably configured apparatus such as
a computer and/or computer program. Such a computer may thus comprise a processor
configured to execute a computer program with instructions for calculating a geometrical
characteristic such as the dimensions L, B, and D. The program could for example comprise
machine readable instructions for implementing the Equations 11a-11c and/or Equations
18a-18c.
Results
[0043] In the following, results from performing the calculation of
L, B and
D according to Equations 11a-11c (or Equations 18a-18c) for the specified volume are
shown. In particular, Table 1 shows a comparison between a non-optimised structure
as may be typical of a prior art FPSO ship, and an optimised structure.
Table 1:
| |
Non-optimised |
Optimised |
| L (m) |
211.2 |
97.3 |
| B (m) |
43.7 |
97.3 |
| D (m) |
33.2 |
32.4 |
| A (m2) |
69260 |
56760 |
| V (Sm3) |
306698 |
306698 |
| x |
6 |
6 |
| y |
6 |
6 |
| l (m)- individual |
42.2 |
19.5 |
| b (m) - individual |
14.6 |
19.5 |
| d (m)- individual |
33.2 |
32.4 |
| BD (m2) |
1452 |
3153 |
| LD (m2) |
7012 |
3153 |
| LB (m2) |
9238 |
9460 |
| Slenderness ratio (L/B) |
4.83 |
1 |
[0044] The individual tanks within the arrangement in this example are of equal size, having
a length
l, breadth
b, and depth d as indicated in Table 1 (whilst in contrast capital letters are used
to denote the overall quantities, as explained in the theory section above).
[0045] Table 1 indicates that the structure where the tank arrangement is optimised has
a significantly smaller overall tank plate area than the non-optimised arrangement
for the same overall volume and number of plates or tanks. Accordingly, a given wall
material, e.g. steel plate of given thickness, can likewise be much less than in the
non-optimised structure.
[0046] It can be seen from Table 1 that the optimised design reduces A by about 18%. It
can at the same time be noted that the foot print area (
LB) of the tank arrangement overall is in fact greater than that of the non-optimised
structure.
[0047] The overall breadth B and overall length L of the optimised tank arrangement are
equal, such that the slenderness ratio (
L divided by
B) is 1. In contrast, the slenderness ratio of the non-optimised arrangement is 4.83.
[0048] While it can be noted that the tank arrangement optimised as set out in Table 1 and
embodied in the hull 301 of Figure 5 (described below) has equal length and breadth,
this is not necessarily the case more generally. For different numbers of plates
x,
y, the overall Length
L1 of the tank arrangement may be substantially different to the Breadth
B1.
[0049] Table 2 below indicates the slenderness ratios (L/B) of the tank arrangement only
for any combination of
x and
y in the range
x = 5,..., 12 and
y = 5,..., 7 resulting from different values of
x and
y.
Table 2:
| Tank section slenderness |
| |
y |
| x |
5 |
6 |
7 |
| 5 |
1.00 |
0.83 |
0.71 |
| 6 |
1.20 |
1.00 |
0.86 |
| 7 |
1.40 |
1.17 |
1.00 |
| 8 |
1.60 |
1.33 |
1.14 |
| 9 |
1.80 |
1.50 |
1.29 |
| 10 |
2.00 |
1.67 |
1.43 |
| 11 |
2.20 |
1.83 |
1.57 |
| 12 |
2.40 |
2.00 |
1.71 |
[0050] Table 3 illustrates various solutions for
L, B and
D obtained from the Equations 11a-11c for a given, predefined overall volume, for different
xy tank matrices, varying only x. The solutions in Table 3 are for a matrix tank arrangement
such as that illustrated in Figure 3 including ballast tanks 113a, 113b (on the flank
rows 110a, 110b), and cargo tanks 113c for storing e.g. oil or gas from the wells
(on the central rows 110c).
Table 3:
| |
|
Tank matrix w/ cargo tanks and ballast tanks half the cargo tank width |
| Parameter |
Units |
5x5 |
5x6 |
5x7 |
5x8 |
5x9 |
5x10 |
| L |
m |
124.71 |
138.21 |
151.08 |
163.42 |
175.31 |
186.81 |
| B |
m |
124.71 |
118.47 |
113.31 |
108.95 |
105.19 |
101.90 |
| D |
m |
41.57 |
39.49 |
37.77 |
36.32 |
35.06 |
33.97 |
| A |
m2 |
93318 |
98238 |
102710 |
106823 |
110641 |
114212 |
| V |
Sm3 |
646548 |
646548 |
646548 |
646548 |
646548 |
646548 |
| x |
|
6 |
7 |
8 |
9 |
10 |
11 |
| y |
|
6 |
6 |
6 |
6 |
6 |
6 |
| L (single cargo tank) |
m |
24.94 |
23.03 |
21.58 |
20.43 |
19.48 |
18.68 |
| B (single cargo tank) |
m |
31.18 |
29.62 |
28.33 |
27.24 |
26.30 |
25.47 |
| D (single cargo tank) |
m |
41.57 |
39.49 |
37.77 |
36.32 |
35.06 |
33.97 |
| BD |
m2 |
5184 |
4678 |
4280 |
3956 |
3688 |
3461 |
| LD |
m2 |
5184 |
5458 |
5706 |
5935 |
6147 |
6345 |
| LB |
m2 |
15553 |
16373 |
17118 |
17804 |
18440 |
19035 |
| Slenderness L/B (Tank section) |
|
1.00 |
1.17 |
1.33 |
1.50 |
1.67 |
1.83 |
FPSO ship
[0051] Turning now to Figure 9, an example FPSO ship 200 is illustrated having a tank arrangement
230 which is optimised as described above for storing fluid from at least one well
in a hull 201 of the ship 200. The tank arrangement comprises multiple tanks 233 having
walls 232 for containing fluid in the tanks (without leakage). The tank arrangement
230 is arranged in a storage section 202 of the hull 201 between end sections 203,
204. First and second cofferdams 222, 223 separate the tank arrangement from the first
and second end sections 203, 204 respectively. The end sections 203, 204 are configured
to allow for example personnel accommodation modules 240, 241 to be arranged thereupon,
or other equipment that may not be suitable to be placed above the tank arrangement,
e.g. due to regulations or other constraints. The end sections are not designated
areas for storage of produced well fluids. The distance between the end sections 203,
204 is determined by the length of the tank arrangement. In this case, the ship 200
has dual bows. Accordingly, the end sections 203, 204 both comprise bow sections.
In other variants however, the first end section 203 may be a bow section, and the
second end section 204 may be stern section.
[0052] In general, the end sections can typically include cranes, offloading stations, offloading
reels, lifeboats, life rafts and/or marine evacuation systems, muster areas, laydown
areas, mooring systems, mooring winches, a flare tower, machinery rooms, living quarter
and/or temporary refuge, helideck, HPU rooms, emergency generators, essential generator,
firewater pump system, and can also have process systems.
[0053] The ship 200 further includes topside production equipment in order to facilitate
performing operations in the well and/or processing the fluid arriving on board the
ship from the well, e.g. through production pipes. The production equipment 250 in
this example includes processing equipment including processing tanks 251 for use
in processing the fluid from the well prior to being directed into the storage tanks
233 within the tank arrangement 230. Such processing may for example include separating
the produced fluid into respective components such as oil, water and/or gas. The ship
may also include a utilities structure 252 including power and/or drive machinery
for operating equipment. The utilities structure 252 and the processing tanks 251
are arranged above the storage section of the hull.
[0054] Turning now to Figure 10, there is shown a section of a hull 301 of an FPSO ship.
The hull 301 has a matrix tank arrangement 330 which is optimised for minimum surface
area of the plates making up the containing walls of the tanks 333 in the tank arrangement
330, such as described above. The tank arrangement is provided within a storage section
302 of the hull, between end sections 303, 304.
[0055] The tank arrangement has intersecting containing walls 332, 333 which extend the
length and breadth of the arrangement, and define orthogonal rows of tanks 333 in
a 5 x 5 matrix (with x,
y equal to 6). For the particular volume in question, the optimised tank arrangement
320 will therefore adhere to the dimensions described in Table 1 (and Table 3 for
the 5x5 matrix).
[0056] The overall length
L2 of the hull 301 is somewhat longer than the length
L1 of the tank arrangement due to the presence of end sections 302, 304 which are not
used for storage of fluids, in the same way as described in relation to the vessel
200 above. The tank arrangement 320 spans the distance L1 from a first cofferdam 322
to a second cofferdam 323, the cofferdams 322, 323 separating respective end sections
of the hull from the tank arrangement.
[0057] The tank arrangement spans the full breadth
B1 of the hull. Accordingly, the breadth
B1 of the tank arrangement and the breadth
B2 of the hull are substantially the same. The hull 301 has dual bows. Accordingly,
the first and second end sections 303, 304 in this example comprise bows.
[0058] Figure 11 provides a modelled 3-D representation illustrating an example shape of
the hull 301.
[0059] The end sections 303, 304 of the hull 301 will typically add less than 20% to the
length of the tank arrangement. Thus the slenderness overall of the hull of the FPSO
ship will also remain low, compared with traditional designs for the expected plate
numbers necessary for providing necessary volume of storage of fluids. The slenderness
ratio of the hull (
L2 divided by
B2) in Figure 5 is 1.4, but the slenderness ratio of the tank arrangement (
L1 divided by
B1) is 1.
[0060] In particular, the slenderness ratio of any of the tank arrangement, hull or of the
ship as a whole is generally below 3.8, more specifically below 2, and typically in
the range of 1 to 2. In particular, the slenderness ratio of the hull is typically
in the range of 1.3 to 3, such as for example 1.4 to 2.5 or 1.5 to 2.0.
Advantages
[0061] Embodiments of the invention are advantageous in various ways. By determining the
overall dimensions for a tank arrangement as set out above, an optimum tank arrangement
and vessel design can be obtained. The optimisation can allow quantities of materials
for construction of the tank arrangement to be reduced, and the amount and time required
for welding to be reduced as difficult edge weld lengths are at a minimum (at the
same point as the minimum plate area). Thus, there can be savings in both materials
and fabrication costs. An orthogonal tank arrangement formed from intersecting planar
orthogonal plates can be particularly convenient and cost effective, as plates, e.g.
of steel, can be obtained at low cost, ready for construction of the tanks. Orthogonal
prismatic designs can be well suited to ship hulls.
[0062] Incorporation of storage sections with tank arrangements based on the optimisation
technique above, can give further advantages in vessels such as FPSO ships, particularly
due to the designs generally being much less slender and of lesser weight, such as:
- a) reduced use of hull steel;
- b) reduced mooring forces;
- c) better fatigue qualities;
- d) better stability (e.g. in high winds);
- e) reduced hull motions (e.g. in high winds);
- f) larger footprint laterally, facilitating placement of equipment topside; and
- g) more advantageous footprint laterally for layout of topside.
[0063] Ship hulls can be efficient in providing a large amount of cargo storage such as
well fluids in the tank arrangement whilst accommodating supporting equipment in the
hull end sections.
[0064] The invention is defined by the following claims.
1. A method of determining at least one geometrical characteristic of a tank arrangement
(10, 50) for a ship, the tank arrangement (10, 50, 60, 230, 330) comprising a number
of tanks (103, 503) having tank walls comprising wall plates (100, 102, 500, 502),
the method comprising a step of:
(a) defining the number of tanks (103, 503) or tank wall plates (100, 102, 500, 502);
and
characterized by further comprising a step of:
(b) determining the geometrical characteristic based upon said defined number of tanks
(103, 503) or tank wall plates (100, 102, 500, 502) by:
evaluating any one or more of the equations:


and

or
computer-implementing said equations; or
using a result obtained from evaluating any one of said equations or from said computer
implementation;
wherein L is an overall length of the tank arrangement (10, 50), B is an overall breadth
of the tank arrangement (10, 50), D is an overall depth of the tank arrangement, V
is an overall volume of the tank arrangement (10, 50), x is the number of tank wall
plates (100, 500) in a first horizontal direction and y is the number of tank wall
plates (102, 502) in a second horizontal direction which is orthogonal to the first
horizontal direction.
2. A method as claimed in claim 1, which further comprises providing a desired overall
volume for the tank arrangement (10, 50) and performing the step of determining the
geometrical characteristic using the desired overall volume.
3. A method as claimed in claim 1 or 2, which further comprises defining a first number
of tanks or tank wall plates (100, 500) in the first horizontal direction, and defining
a second number of tanks or tank wall plates (102, 502) in the second horizontal direction,
and performing the step of determining the geometrical characteristic using the defined
first and second numbers of tanks or tank wall plates (100, 102, 500, 502).
4. A method as claimed in any preceding claim, wherein the determined geometrical characteristic
comprises any one or more of the overall breadth, length, and depth of the tank arrangement
(10, 50).
5. A method as claimed in any preceding claim, wherein the tank arrangement (10, 50,
60, 230, 330) is a tank arrangement for a floating production storage and offloading,
FPSO, vessel.
6. A computer program comprising instructions implementing any one or more of the equations:

and

which when executed by a computer, cause the computer to calculate at least one geometrical
characteristic of a tank arrangement (10, 50) for a ship, the tank arrangement comprising
a number of tanks (103, 503) having tank walls comprising wall plates (100, 102, 500,
502), wherein L is an overall length of the tank arrangement (10, 50), B is an overall
breadth of the tank arrangement (10, 50), D is an overall depth of the tank arrangement
(10, 50), V is an overall volume of the tank arrangement (10, 50), x is the number
of tank wall plates (100, 500) in a first horizontal direction and y is the number
of tank wall plates (102, 502) in a second horizontal direction which is orthogonal
to the first horizontal direction.
7. A data carrier carrying the computer program of claim 6.
1. Verfahren zum Bestimmen von mindestens einer geometrischen Eigenschaft von einer Tankanordnung
(10, 50) für ein Schiff, wobei die Tankanordnung (10, 50, 60, 230, 330) eine Anzahl
von Tanks (103, 503) aufweisend Tankwände umfassend Wandplatten (100, 102, 500, 502)
umfasst, wobei das Verfahren einen Schritt umfasst von:
(a) Definieren der Anzahl von Tanks (103, 503) oder Tankwandplatten (100, 102, 500,
502);
und gekennzeichnet ist durch weiter umfassend einen Schritt von:
(b) Bestimmen der geometrischen Eigenschaft basierend auf der definierten Anzahl von
Tanks (103, 503) oder Tankwandplatten (100, 102, 500, 502) durch:
Auswerten von einer oder mehreren der Gleichungen:


und

oder
Computerimplementieren der Gleichungen; oder
Verwenden von einem Resultat, welches durch Auswerten von einer der Gleichungen oder von der Computerimplementierung erhalten
wurde;
wobei L eine Gesamtlänge der Tankanordnung (10, 50) ist, B eine Gesamtbreite der Tankanordnung
(10, 50) ist, D eine Gesamttiefe der Tankanordnung ist, V ein Gesamtvolumen der Tankanordnung
(10, 50) ist, x die Anzahl der Tankwandplatten (100, 500) in einer ersten horizontalen
Richtung ist und y die Anzahl der Tankwandplatten (102, 502) in einer zweiten horizontalen
Richtung, welche orthogonal zur ersten horizontalen Richtung ist, ist.
2. Verfahren gemäss Anspruch 1, welches weiter umfasst das Vorsehen von einem gewünschten
Gesamtvolumen für die Tankanordnung (10, 50) und Durchführen des Schritts des Bestimmens
der geometrischen Eigenschaft unter Verwendung des gewünschten Gesamtvolumens.
3. Verfahren gemäss Anspruch 1 oder 2, welches weiter umfasst das Definieren von einer
ersten Anzahl von Tanks oder Tankwandplatten (100, 500) in der ersten horizontalen
Richtung, und das Definieren von einer zweiten Anzahl von Tanks oder Tankwandplatten
(102, 502) in der zweiten horizontalen Richtung, und Durchführen des Schritts des
Bestimmens der geometrischen Eigenschaft unter Verwendung der definierten ersten und
zweiten Anzahl der Tanks oder Tankwandplatten (100, 102, 500, 502).
4. Verfahren gemäss einem der vorhergehenden Ansprüche, wobei die bestimmte geometrische
Eigenschaft eine oder mehrere der Gesamtbreite, Länge, und Tiefe der Tankanordnung
(10, 50) umfasst.
5. Verfahren gemäss einem der vorhergehenden Ansprüche, wobei die Tankanordnung (10,
50, 60, 230, 330) eine Tankanordnung für ein schwimmendes Produktionslager- und Entladungs-,
FPSO, -Schiff ist.
6. Computerprogramm umfassend Instruktionen welche eine oder mehrere der Gleichungen
implementieren:

und

welche, wenn von einem Computer ausgeführt, den Computer veranlassen, mindestens
eine geometrische Eigenschaft von einer Tankanordnung (10, 50) für ein Schiff zu berechnen,
wobei die Tankanordnung eine Anzahl von Tanks (103, 503) mit Tankwänden umfassend
Wandplatten (100, 102, 500, 502) umfasst, wobei L eine Gesamtlänge der Tankanordnung
(10, 50) ist, B eine Gesamtbreite der Tankanordnung (10, 50) ist, D eine Gesamttiefe
der Tankanordnung (10, 50) ist, V ein Gesamtvolumen der Tankanordnung (10, 50) ist,
x die Anzahl der Tankwandplatten (100, 500) in einer ersten horizontalen Richtung
ist und y die Anzahl der Tankwandplatten (102, 502) in einer zweiten horizontalen
Richtung, welche orthogonal zur ersten horizontalen Richtung ist, ist.
7. Datenträger tragend das Computerprogramm gemäss Anspruch 6.
1. Un procédé de détermination d'au moins une caractéristique géométrique d'un dispositif
de réservoirs (10, 50) pour un navire, le dispositif de réservoirs (10, 50, 60, 230,
330) comprenant un nombre de réservoirs (103, 503) ayant des parois de réservoir comprenant
des plaques de paroi (100, 102, 500, 502), le procédé comprenant l'étape de:
(a) définir le nombre de réservoirs (103, 503) ou plaques de paroi deréservoir (100,
102, 500, 502);
et caractérisé en comprenant en outre l'étape de:
(b) déterminer la caractéristique géométrique à base dudit le nombre défini de réservoirs
(103, 503) ou plaques de paroi (100, 102, 500, 502) en:
évaluant l'une quelconque ou plusieurs des équations:


et

mettre en oeuvre sur ordinateur lesdites équations; ou
utiliser un résultat obtenu en évaluant l'une quelconque desdites équations ou ladite
mise en oeuvre sur ordinateur;
dans lequel L est une longueur totale du dispositif de réservoirs (10, 50), B est
une largeur totale du dispositif de réservoirs (10, 50), D est une profondeur totale
du dispositif de réservoirs (10, 50), V est un volume total du dispositif de réservoirs
(10, 50), x est le nombre de plaques de paroi de réservoir (100, 500) dans une première
direction horizontale et y est le nombre de plaques de paroi de réservoir (102, 502)
dans une seconde direction horizontale qui est orthogonale à la première direction
horizontale.
2. Un procédé comme revendiqué dans la revendication 1, qui comprend en outre fournir
un volume total désiré pour le dispositif de réservoir (10, 50) et effectuer l'étape
de déterminer la caractéristique géométrique en utilisant le volume total désiré.
3. Un procédé comme revendiqué dans la revendication 1 ou 2, qui comprend en outre définir
un premier nombre de réservoirs ou de plaques de paroi de réservoir (100, 500) dans
la première direction horizontale, et définir un second nombre de réservoirs ou plaques
de parois de réservoirs (102, 502) dans la seconde direction horizontale et effectuer
l'étape de déterminer la caractéristique géométrique en utilisant les premiers et
seconds nombres de réservoirs ou plaques de paroi de réservoir (100, 102, 500, 502).
4. Un procédé comme revendiqué dans une quelconque des revendications précédentes, dans
lequel la caractéristique géométrique déterminée comprend une quelconque ou plusieurs
parmi la largeur totale, la longueur totale et la profondeur totale du dispositif
de réservoir (10, 50).
5. Un procédé comme revendiqué dans une quelconque des revendications précédentes, dans
lequel le dispositif de réservoir (10, 50, 60, 230, 330) est un dispositif de réservoir
pour un navire FPSO, une unité flottante de production, de stockage et de déchargement.
6. Un logiciel informatique comprenant des instructions pour implémenter l'une quelconque
ou plusieurs des équations:

et

qui lorsque exécuté par un ordinateur, amène l'ordinateur à calculer au moins une
caractéristique géométrique d'un dispositif de réservoir (10, 50) pour un navire,
le dispositif de réservoir comprenant un nombre de réservoirs (103, 503) ayant des
parois de réservoir comprenant des plaques de paroi (100, 102, 500, 502), dans lequel
L est une longueur totale du dispositif de réservoirs (10, 50), B est une largeur
totale du dispositif de réservoirs (10, 50), D est une profondeur totale du dispositif
de réservoirs (10, 50), V est un volume total du dispositif de réservoirs (10, 50),
x est le nombre de plaques de paroi de réservoir (100, 500) dans une première direction
horizontale et y est le nombre de plaques de paroi de réservoir (102, 502) dans une
seconde direction horizontale qui est orthogonale à la première direction horizontale.
7. Un support de données comprenant le logiciel informatique de la revendication 6.