Various aspects and embodiments of the present invention relate to geotextile tubes.
Beaches and other land forms that surround large bodies of water have always been subjected to severe erosion caused by the currents and waves. Erosion can lead to massive amounts of beachfronts disappearing, leaving higher ground exposed to the full energy of waves. The exposure to wave energy can lead to further erosion of the higher ground and possible damage to adjacent structures. Many attempts have been made to prevent such erosion from occurring. Marine structures have been developed to dissipate the power of the waves and shield the shoreline from waves. However, many of these structures, such as jetties and sea walls, have their own shortcomings. Solid structures, like jetties, are constructed of rocks and concrete blocks and are expensive to build and install. Additionally, such structures are massive in size, can further disrupt the environment, and can be visually unappealing. Also, the solid nature of these structures may lead to further erosion; the force of the waves is redirected, and not dissipated, to the bottom of the structures, causing erosion at the base of the solid structure.
Soft structures, like ballast-filled tubes, have been developed to solve many of the problems mentioned above. In order to withstand the constant pounding of waves, these tubes should be manufactured from a liquid permeable material having sufficient tensile strength, seam strength, and wear resistance. Geotextiles are one type of material that fit such criteria. When constructed, the geotextile tubes are filled with a ballast material, such as sand slurry and concrete. While the tubes create a wave barrier, the permeable nature of the tubes, in combination with the fill material, absorb much of the energy generated by crashing waves, leading to a greater reduction in erosion above and below the geotextile tube. The geotextile tubes also provide a much more cost-effective solution than solid structures.
While the geotextile tubes may be a better alternative than the solid structures mentioned above, their current construction and installation have several drawbacks. The size of geotextile tubes is constrained based upon the tensile strength of the geotextile as well as the stress limits of the seams. Therefore, in most cases, marine structures require the installation of multiple geotextile tubes. However, the construction of geotextile tubes does not aid in their modularity. Traditionally, each tube is manufactured from one continuous piece of fabric by folding the fabric in half and then securing the adjacent edges together. When filled with slurry, the ends of the geotextile become pinched, forming a geotextile tube 10 with sloping ends 12, as shown in
To combat this shortcoming, the tapered ends 12 of the traditional geotextile tubes 10 are overlapped with one another, as shown in
Therefore, there is a need for geotextile tubes that when placed end to end form gapless junctions. Additionally, there is a need for geotextile tubes that may be filled to a uniform height.
The present invention addresses these problems and concerns by providing a flexible water-permeable tube having flat ends when filled with fill material, a method of making such a tube, and a method of installing the tube. The tube has separate end panels that are attached to a tube body at the tube body's opposing ends. In one embodiment of this invention, the separate end panels are configured to have the same shape as that of a cross-section of the tube body when the tube body is filled and installed. Having the shape of the end panels mirror the cross-sectional shape of the tube body leads to a tube having a uniform cross section along the length of the tube and a uniform height upon receipt of fill material. The cross section of the tube body may be determined before installation by determining the relationship between the height, circumference, the fill material, and the surrounding environment into which the tube is planned to be installed.
Embodiments of this invention provide tubes having substantially flat ends for installation along shorelines for erosion prevention and shelter from waves. While the preferred embodiments of the tubes discussed are for use in erosion protection, the tubes are in no way limited to such use. The tubes may be used in other marine structures, such as berms, breakwaters, bunds, cores for sand dunes, dykes, and jetties. Also, the tubes may be used for other various purposes other than barriers or support, such as, but not limited to, containment and dewatering.
The tube body 110 and the end panels 120 of the tubes 100 are made from a flexible fabric. By making the tube 100 from a flexible fabric, transportation and construction costs are kept to a minimum. While the tubes may be made from any type of flexible fabric, it is preferable that the flexible fabric be water permeable, further assisting in the dissipating of the power of the waves that the tubes encounter. Given the strength of the waves, as well as the stress applied on the interior by the fill material, it is also desirable to build the tubes from a sturdy fabric. Appropriate geotextile materials have the flexibility, water permeability, and tensile strength to satisfy these needs. For example, Tencate's Geotube® fabrics GT500M, GT600M, GT750M, GT1000M, and GT100MP may be used. It is preferred that the geotextile material used is made from, but not limited to, polypropylene, polyethylene, or polyester.
As shown in
Although they are separate components, the dimensions of the end panels 120 are determined by the cross-sectional shape of the tube body 110 when filled. Having the dimensions of the end panels 120 match the cross-sectional shape of the tube body 110 allows the tube 100 to have a continuous uniform cross-sectional shape and height from end to end when filled with a ballast material. However, tubes 200 according to other embodiments of this invention, as shown in
To ensure that the tube 100 has a uniform cross-section along its length, the dimensions of the end panels 120 are based upon the cross-sectional shape of the tube body 110 when the tube body 110 is filled. Since the tube body 110 is made from a fabric, it has limited or no rigidity. When filled with a ballast material, the tube body 110 is subjected to several different forces that impact the tube body's cross-sectional shape. First, the fill material applies an internal hydrostatic pressure to the interior surface of the tube body 110. Second, the surface on which the geotextile tube rests applies an additional force that shapes the bottom of the tube. Additionally, the surrounding environment in which the tube is placed can apply additional forces. For example, if the tube is placed in a completely submerged location, surrounding water applies a force that has an impact on the tube's shape when filled. When the tube is used as a core for a sand dune, the surrounding sand applies forces that shape the tube as well.
An analysis of a geosynthetic tube based upon certain known criteria may be performed to determine the cross-sectional shape and dimensions of a yet-to-be-filled tube body 110. The cross sectional shape may be determined by using a variety of mathematical formulas known to those skilled in the art. For example, “Two dimensional analysis of geosynthetic tubes,” by R. H. Plaut and S. Suherman, Acta Mechanica, vol. 129, n°3-4, pp. 207-218 (1998), the entire contents of which are hereby incorporated by this reference, discusses a combination of formulas used to determine the cross-sectional shape of a geosynthetic tube based upon a number of predetermined inputs, constants, and known relationships. The formulas needed to calculate the cross-sectional shape of the tube take the constants and predetermined inputs to predict the pressure applied to the tube body along various points along its surface through the known relationships.
For one embodiment of this invention, the predetermined inputs are the height of the tube H, its circumference L, the specific gravity of the ballast material to fill the tube SGint, and whether or not the tube will be submerged, which determines whether water or other material, which has a specific gravity SGext, will surround the tube. The values that are being sought are the pressure applied at the bottom of the tube Pbot, the pressure applied at the top of the tube Ptop, the width W of the geotextile tube at its widest point when filled, the width of the contact area between the tube and the supporting surface B, and the area A of a cross section of the tube. Additionally, the circumferential tension per width perpendicular to the cross section T is another value that needs to be calculated. Some of the desired values are represented in
In terms of geometrical considerations, horizontal coordinate X, vertical coordinate Y, and the angle between the horizontal and the tangent to the tube θ are useful values to calculate. All three quantities vary as the arc length S of the exterior of the tube from a starting point changes. For the geometrical considerations, the change of X and Y as S changes can be represented by the following formulas:
To assist in the process of determining the cross-sectional shape of the tube, the values are calculated in non-dimensional quantities, as shown below.
SWint is the specific weight of the fill material, which is produced by multiplying SGint by the weight per unit volume of water. The specific weight of the surrounding material SWext, is found by multiplying SGext, by the weight per unit volume of water. Along those same lines, the non-dimensional terms of the changing of the geometrical considerations become the following:
When trying to solve this problem in terms of bottom pressure, the solution can be written in terms of elliptic integrals. For example, as θ increases as s increases, pbot can be calculated from the following formula.
K(k) and E(k) are complete elliptic integrals of the first and second kind, respectively, and are well known in the art. Parameter k is defined by the following term.
With these formulas, the non-dimensional contact length b, height h, and width w of the tube can be computed from the following equations.
are elliptic integrals of the first kind and second kind, as is well known in the art.
With h the only non-dimensional variable found in the equations above that is known, k can be related to h by substituting Equation 1 for pbot in equation 2, as shown below.
For a specified value of h, Equation 7 can be solved numerically for the corresponding value of k by using mathematical software, such as Mathematica®. With a numerical value for k, pbot can be computed from Equation 1, t from Equation 2, b from Equation 3, w from Equation 5, and a from Equation 6. The corresponding dimensional quantities can then be calculated from these outputs.
For example, when H=7 ft, L=60 ft, SGint=1.4, and the tube is to be emerged, or exposed above water, resulting in SGext=1.0, the following values for the other dimensions and properties of the tube can be calculated.
Some approximate formulas not requiring the use of elliptic integrals may be derived and used to solve for the needed quantities. The non-dimensional height h can be varied and the corresponding quantities pbot, t, b, h, w and a can be computed using Equations 1-6. A table of all the values can be set up in a spreadsheet program, such as Excel, and curves can be drawn for each quantity as a function of h. A polynomial function can be used by the spreadsheet program to closely approximate each curve, or portions of each curve. These polynomial functions can then be used by the spreadsheet to obtain the output quantities that are desired.
As the unknown variables are being solved, the shape of the cross-section of the geotextile tube may be plotted. According to one embodiment of the invention, the x and y coordinates of the cross-section can be determined using the following formulas.
The shape of the cross-section of the tube is obtained by varying φ from 0 to π.
The plotting of the shape may be determined without using elliptic integrals. The formulas below provide one example on how to do so.
r is varied between 0 and 2π to generate a number of x and y coordinates. Using the values described above in the table,
The above formulas, or other derived formulas, may be used in an end panel dimension algorithm to generate the dimensions needed for an end panel 120 to match the cross sectional shape of the tube body 110. The end panel dimension algorithm may be controlled through a computer program, such as Tencate's Geotube Simulator® program. While the preferred embodiment of this invention uses variations of the formulas and variables shown above, other variables and equations known to those skilled in the art may be used to determine the cross-sectional shape of the tube body according to other embodiments of this invention.
Before the dimensions of the cross-sectional shape of the tube body 110 can be calculated, the needed inputs must be determined. In the preferred embodiment, the height H and circumference L of the tube, the specific gravity SGint of the fill material, and the specific gravity SGext of the material to surround the tube, if any, must be determined.
The overall height of the structure will have an impact on the height of an individual tube. Structures that are built with tubes can range in height from a few feet to over 30 feet. However, for cost and safety reasons, it is preferable to keep the height of an individual geotextile tube between 3 ft and 10 ft. When structures require a height greater than this range, multiple tubes stacked on one another are needed.
Safety concerns have a major impact on the circumference L of the tube. One of the major safety concerns with any filled geotextile tube is the possibility of the tube rupturing. Rupturing mainly occurs at the seams of the tube when the force applied by the fill material is too great for the seam to handle. Therefore, the seam strength, that is the amount of force the seam can withstand before rupturing, needs to be much greater than the force of the fill material applied at the seams to prevent seam ruptures. Preferably, a four-to-one seam strength to fill material force ratio is desired. The seam strength is determined by the tensile strength of the tube fabric and the type of seam employed. However, by increasing the circumference L of the tube while keeping the height H constant, the amount of force applied against the seam decreases. The circumference L is determined with these factors in mind.
Where the structure utilizing the tubes is being built determines the specific gravity SGint of the fill material as well as the specific gravity SGext of the surrounding environment. Tubes are generally filled with fill material located at the installation sight. Since most of the structures utilizing the tubes are built near beaches, sand is usually the fill material used. However, other fill material, such as, but not limited to, sediment, dirt, and other particulate matter, may be used. Therefore, the specific gravity SGint of the fill material used, which can vary from location to location, must be determined. Whether the geotextile will be fully submerged in an underwater environment or whether it will be partially exposed to air determines the SGext of the material forced against the outside surface of the geotextile tube. If any part of the geotextile tube will not be submerged, the geotextile tube should be considered emerged, or entirely exposed, for safety purposes.
With the inputs needed to determine the shape of the cross-sectional shape provided, the length of the geotextile tube can then be determined. The tube's length may also be determined by the environment as well. Generally, tubes are installed in lengths between 60 and 200 ft. However, the size can vary based upon convenience. For example, for installation in strong water current areas, the length is usually shorter to avoid as much of the force applied by the moving water. In situations where there is little to no current, the length of a single geotextile tube can reach approximately 200 ft. The length of the tube can also impact the number of fill ports needed. More fill ports are needed the longer the tube to ensure an equal distribution of fill material within the tube. The height H of the geotextile tube can be adjusted along the same lines of convenience.
Once the dimensions of the tube have been determined, the geotextile tube 100 can be constructed. The tube body 110 and the end panels 120 are formed from separate components, as shown in
While many means of securing may be used, sewing, which forms seams, will generally result in bonds between the components of the tube with the strength necessary to withstand the pressures exerted on them. The type of seam chosen may depend on, among other considerations, the foreseeable stresses to which the tube 100 may be subjected. The strength of the resulting seams can be impacted by a number of factors, including the type of seam, the type of stitch, the type of thread, and the stitch density.
Many types of seams may be used in the manufacture of the tube 100 of this invention. Examples of such seams are discussed in U.S. application Ser. No. 10/541,134,, filed Apr. 6, 2006, entitled “Inlet Port for a Container Made of Geotextiles”, the entire content of which is incorporated by this reference. A “flat” or “prayer” seam is formed by placing together the facing edges of two textiles. A “butterfly” seam is formed by placing together the facing edges of two textiles and then folding a portion of each textile back onto itself. This creates four layers of textile that can then be secured together. A “J” seam is formed by placing together the facing edges of two textiles and then folding a portion of both onto one of the textiles. The “J” seam and “butterfly” seam, while generally more difficult to form than a prayer seam, are preferable in applications where stronger seams are necessary, and are preferable in the construction of the tubes. An “overlap” seam is formed by overlapping the edges of two adjacent textiles and securing them together in the area of overlap. These seams, among others, may also be used to secure the openings at which the fill ports 130 are attached to the tubes 100. Independent of the seam-type used, the seam should be a reversed, placing the protruding portions within the interior of the tube.
Any type of suitable stitching that imparts sufficient strength to seams may be used. A double-thread lockstitch has been found to be particularly effective. Moreover, any thread that will provide sufficient seam strength may be used. For example, Kevlar, nylon, polyester or polypropylene threads, among others, are all suitable. The ply and denier of the thread used may vary depending on the thread material and the seam strength desired. One thousand (1000) denier polyester thread has been found to be effective for stitching the components of the tube 100.
Any stitch density suitable to the particular material, thread and seam strength desired may be used. Stitches that are too close and/or thread tensions that are too tight tend to cut the geotextile material. Stitch densities of at least 4 to 5 stitches per inch have been found sufficient to impart the necessary strength to the seam. However, higher stitch densities may be desirable for use with geotextiles having heavier, tighter base yarns, and lower stitch densities may be desirable for use with lighter geotextiles.
Once the area has been prepared, an unfilled tube 100 is provided and placed in the desired area, as shown in
After the tube has been filled, a second tube 300 may be placed adjacently, end to end with the first tube 100, as shown in
When the height of the overall structure requires more than one layer of tubes, stacking tubes in a pyramid fashion, as shown in
The foregoing is provided for purposes of illustrating, explaining, and describing embodiments of the present invention. Further modifications and adaptations to these embodiments will be apparent to those skilled in the art and may be made without departing from the scope or spirit of the invention.
This application claims priority to U.S. provisional application Ser. No. 61/029,017, entitled “Geotextile Tube with Flat Ends,” filed Feb. 15, 2008, the entire contents of which are hereby incorporated by this reference.
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