METHOD FOR DENSIFICATION OF AN AMOUNT OF SOIL AND APPARATUS
20260055568 ยท 2026-02-26
Assignee
Inventors
Cpc classification
E02D3/10
FIXED CONSTRUCTIONS
E02D3/054
FIXED CONSTRUCTIONS
International classification
Abstract
Vibration-based method and system for densification of ground soil, method comprising the steps of providing a draining unit, comprising a drain installation, at a depth in the ground soil and providing a vibration unit, determining one or more ground soil locations for applying vibration to the ground soil based on a position of the draining unit, and extracting fluid from ground soil using the drain installation while at least during an overlapping period of time applying vibration with the vibration unit to the one or more ground soil locations in order to densify the ground soil. Unlocking insights from Geo-Data, the present invention further relates to improvements in sustainability and environmental developments: together we create a safe and liveable world.
Claims
1. Vibration-based method for densification of ground soil, method comprising the steps of: a) providing (1001) a draining unit (901), comprising a drain installation (906), at a depth in the ground soil and providing a vibration unit (902); b) determining (1002) one or more ground soil locations for applying vibration to the ground soil based on a position of the draining unit (901); and c) extracting (1003) fluid from ground soil using the drain installation while at least during an overlapping period of time applying vibration with the vibration unit (902) to the one or more ground soil locations in order to densify the ground soil.
2. The method of claim 1, wherein the ground soil has an initial permeability K in the range of 10.sup.4 to 10.sup.8 m/s, preferably as measured by the method described in determination of soil permeability coefficient according to ISO 17892-11:2019, and wherein the densification of the soil obtains a ground soil having a decreased permeability K by at least a factor of 5 relative to the initial permeability K, preferably having a decreased permeability K by at least a factor of 10 relative to the initial permeability K, more preferably having a decreased permeability K by at least a factor of 50 relative to the initial permeability K.
3. The method of claim 1 or 2, wherein the drain installation (906) comprises at least one drain, and wherein step a) comprises installing the least one drain vertically beneath an upper surface of the ground soil, and wherein the at least one drain is a vertical drain (301b) comprising an elongated body (302b) with at least one inlet and at least one outlet (303b) for expelling fluid extracted through the drain.
4. The method of any preceding claim, wherein the drain installation (906) comprises at least one drain, and wherein step a) comprises installing the least one drain horizontally beneath an upper surface of the ground soil, and wherein the at least one drain is a horizontal drain (601b) comprising an elongated body (602b) with at least one inlet and at least outlet (6031b; 6032b) for expelling fluid flowing into the drain.
5. The method of any preceding claim, wherein step a) further comprises providing a vacuum pump (905), the vacuum pump (905) being provided in the draining unit (901), and wherein step c) further comprises applying a vacuum to extract fluid from the ground soil.
6. The method of any preceding claim, wherein the vibration is applied externally on an upper surface of the ground soil and/or internally from below the upper surface of the ground soil, preferably at the determined one or more soil locations.
7. The method of any preceding claim, wherein the vibration unit (902) comprises at least one vibratory probe (404) and the vibration is applied by the at least one vibratory probe (404) in the ground soil.
8. The method of claim 3 or 4, wherein the step of providing a draining unit a) comprises installing a plurality of vertical drains below an upper surface of the ground soil and wherein the plurality of vertical drains are spaced apart from one another, wherein the spacing between the drains is in a range of 1.5 m to 8 m, and preferably wherein a first vertical drain (301a) is installed substantially parallel to and at a spacing L from a second vertical drain (301b) in an X direction parallel to the upper surface of the ground soil, and the first vertical drain (301a) is installed substantially parallel to and at a spacing 2L from a third vertical drain (301e) in a Y direction parallel to the upper surface of the ground soil, and wherein the X direction is perpendicular to the Y direction.
9. The method of claim 8, wherein an elongated body (602a) of a first horizontal drain (601a) is disposed substantially parallel to an elongated body (602b) of a second horizontal drain (601b), at different depths below the upper surface of the ground soil, and/or wherein the spacing between the drains is determined based on at least one of permeability of the soil, a drainage speed, and a vacuum pressure applied to the drains.
10. The method of any one of claims 3-9, wherein the step of providing a draining unit (901) further comprises connecting an outlet (303b, 6031a, 6032a) of the at least one drain (301b, 601a) to at least one vacuum pump (304, 604A, 604B), configured to extract fluid.
11. A vibration-based soil densification system (900) for densification of ground soil having an upper surface, comprising: at least one draining unit (901) comprising a vacuum pump (905) configured to be installed in the ground soil below the upper surface of the ground soil; at least one vibration unit (902) for applying vibration to densify the ground soil, and a controller (903) configured to control the draining unit (901) with the vacuum pump (905), and the vibration unit (902) to extract fluid from the ground soil while at least during an overlapping period of time applying a vibration to the ground soil in order to densify the ground soil.
12. The system of claim 11, wherein the draining unit (901) comprises a draining installation (906) having at least one drain, and wherein the controller is further configured to determine whether the drain is arranged to be vertically or horizontally disposed beneath the upper surface of the ground soil, based on a depth ground soil.
13. The system of claim 11 or 12, wherein the draining unit comprises at least one vertical drain (301b), the at least one vertical drain (301b) comprising an elongated and permeable body (302b) and at least one outlet (303b) for expelling fluid extracted via the drain, or wherein the draining unit comprises at least one horizontal drain, the horizontal drain (601b) comprising an elongated and permeable body (602b) and at least one outlet (6031b; 6032b) for expelling fluid extracted via the drain.
14. The system of any one of the above claims 11 to 13, wherein the vibration unit is an external vibration unit configured to apply vibration externally on the upper surface of the ground soil and/or an internal vibration unit configured to apply vibration internally from below the upper surface of the ground soil.
15. The system of any of the above claims 11 to 14, further comprising a plurality of drains below the upper surface of the ground soil and which are spaced apart from one another, with a spacing between the drains is in a range of 1.5 m to 8 m and wherein the plurality of drains comprises at least a first (301a), second (301b) and third (301c) vertical drains installed vertically below the upper surface of the ground soil, such that the first vertical drain (301a) is installed substantially parallel to and at a spacing L from the second vertical drain (301b) in an X direction parallel to the soil surface, and the first vertical drain (301a) is installed substantially parallel to and at a spacing 2L from the third vertical drain (301c) in a Y direction parallel to the upper surface of the ground soil, wherein the X direction is perpendicular to the Y direction.
16. The system of claim 15, wherein the plurality of drains comprises at least a first and a second horizontal drain (601a, 601b) installed horizontally below the upper surface of the ground soil, and such that an elongated body (602a) of a first horizontal drain (601a) is disposed substantially parallel to an elongated body (602b) of a second horizontal drain (601b), at different depths below the upper surface of the ground soil.
17. The system of claim 15 or 16, wherein the controller (903) is further configured to determine a spacing between the drains based on at least one of the permeability of the ground soil, a drainage speed, and a vacuum pressure applied to the drains.
Description
BRIEF DESCRIPTION OF DRAWINGS
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DETAILED DESCRIPTION
[0052] The matters exemplified in this description are provided to assist in a comprehensive understanding of various exemplary embodiments of the present invention disclosed with reference to the accompanying figures. Accordingly, those of ordinary skill in the art will recognize that various changes and modifications of the exemplary embodiments described herein can be made without departing from the scope of the claimed invention. In particular, combinations of specific features of various aspects and/or embodiments of the invention may be made. An aspect or embodiment of the invention may be further advantageously enhanced by adding a feature that was described in relation to another aspect or embodiment of the invention.
[0053] Further, the functionality associated with any particular means may be centralized or distributed, whether locally or remotely. It may be advantageous to set forth that the terms include and comprise, as well as derivatives thereof, mean inclusion without limitation. In addition, reference to an element by the indefinite article a or an does not exclude the possibility that more than one of the elements is present, unless the context clearly requires that there be one and only one of the elements. The indefinite article a or an thus usually means at least one.
[0054] Throughout the description, reference is made to terms sand, silt, and clay. Instead of sand, the term coarse-grained material is also used. Instead of silt, the term fine-grained material is also used. These are used for ease of understanding; however, the skilled person understands these terms in terms of the particle sizes of each of these materials. As mentioned, grain/particle is classified, however not restrictively, as clay if the particle diameter is <0.002 mm, as silt if it is between 0.002 mm and 0.06-0.07 mm, or as sand if it is between 0.06-0.07 mm and 2 mm. The present invention is addressed to silty soils that may also include a possibly significant portion of sand sized, or larger, particles and/or a portion of clay sized particles.
[0055] Initial in-situ testing is generally performed to determine the properties and current state of material to be densified. In-situ testing is an efficient means to provide data on the volume of loose material to be densified, the properties and characteristics of the loose material, and of the underlying natural ground (where relevant). For example, cone penetration testing (CPT), a standard geotechnical test, can provide the basic data required. Measurement of pore water pressure (CPTu), including stages with water pressure dissipation tests, provide data on permeability. The measurement of shear and pressure wave velocities using a seismic sensor on the cone (SCPTu) provides additional data on material properties. Recovery of samples for particle size analysis and other index and laboratory testing provides a more complete assessment of the volume, in-situ density and material properties of the fine-grained deposit to be densified. All such methods may be applied in the context of the present invention as well.
[0056]
[0057] As mentioned, clay soils are relatively impermeable, therefore, the time taken for water/fluid to be displaced in order to allow consolidation and densification, may be of the order months or years. However, clay soils are intrinsically compressible, and therefore the void ratio changes significantly in response to vertical surcharge load. An increase of vertical load can generate considerable settlement and reduction in volume of such soils. When unloaded such soils/materials respond in a relatively stiff manner causing little rebound or volume recovery.
[0058] The graph in
due to surcharge loading, the void ratio, or the space between particles in the clay soil decreases from a value o to a decreased value a1 on a normal consolidation line (NCL). Once unloaded, when the surcharge load is removed, the void ratio increases in response from value a1 to b1. However, since the rebound is much less, the surcharge loading was able to densify the soil from an initial void ratio o to a final void ratio b1. The densified soil may attain a final void ratio, at the in-situ effective stress in the ground, that is close to or below the critical state line (CSL). The value of the required surcharge loading, the induced stress
is determined by the target void ratio, after consolidation, with respect to the CSL. The terms NCL and CSL are well-known to the skilled person and require no further explanation.
[0059]
[0060] Similar to
due to surcharge loading, the void ratio, or the space between materials in the soil is barely reduced. The void ratio decreases minimally from a value o to a value a2 on a normal consolidation line (NCL1). The void ratio remains almost the same when the surcharge is removed, and the material in-situ returns to the previous in-situ vertical effective stress. The value b2 represents the value of void ratio once the load is removed and will generally remain significantly above the critical state line (CSL). The graphs in
[0061]
in the soil due the applied vibration, due to the generation of excess water pressure causing a reduction in effective stresses, and the simultaneous dissipation of water pressure causing an increase in effective stress and reduction in void ratio. In coarse-grained granular materials drainage and reduction in excess water pressure caused by vibration will occur naturally so that the void ratio can be reduced from the initial condition o on the NCL1 line, to a value c typically below (denser than) the CSL line.
[0062] It is widely known that a vibration process as applied to coarse-grained granular material does not result in an acceptable level of densification when it is applied to fine-grained soils. It is also known that a densification method as used to densify soils with high plasticity, like clay, in which a vertical load is applied, possible with some extra water drainage by artificial drains, also does not work well when applied to low (or zero) plasticity, fine-grained soils.
[0063] The inventors of the present invention have found however that a combination of vibration and water drainage provides a high level of densification in an acceptable timeframe. The explanation is as follows.
[0064] Densification of fine-grained granular materials having low plasticity requires repeated shearing to cause local movement between particles that can find a denser packing. This can be achieved by local vibration that provides enough excitation to cause particle movement, overcoming friction at particle contacts. However, densification of saturated material requires expulsion of pore fluid as the void space between particles is reduced. As mentioned previously, in sand this occurs naturally because of the relatively high permeability. To achieve a similar reduction of pore space in silt within the time scale of applied vibration, such fine-grained silty soils require assistance to drain fluid therefrom.
[0065] Suitable drainage can be achieved using prefabricated drains installed in the soil. The rate of drainage may be further enhanced by increasing the hydraulic gradient in the soil by means of applying vacuum pressure to the drain. The type of drains to be installed is determined based on the depth of the soil body and/or on the volume of loose silt material to be densified.
[0066] The required dimensions, properties and spacing of the drains may be determined from in-situ measured material properties and permeability characteristics of the loose material to be densified, as determined by testing.
[0067] Drains can be installed vertically into the soil to be densified, or horizontally below the upper surface of the soil. Vertical drains are suitable for any soil depth and may typically be installed to a depth of 10 m to 25 m below the upper surface of the ground soil. Horizontal drains are more suited to applications where the depth of the loose silty soil to be densified is of the order 10 m. Drains are installed horizontally within the soil at a desired vertical and horizontal spacing from one another, about 1.5 m to 5 m. Prefabricated drains are disposable and are typically left in the soil after densification.
[0068]
[0069] Drains 301a, 301b, . . . 301d are installed vertically downwards from an upper surface of the ground soil. Each vertical drain 301a, 301b . . . comprises an elongated body 302a, 302b . . . , into which pore fluid can flow and with a permeable core allowing the pore fluid to travel up to at least one outlet to the drain 303a, 303b . . . . The length of the elongated body is shown in
[0070] The drains may be implemented as cylindrical pipes 301a, 301b, . . . , 301d, e.g., made of perforated plastic or a geosynthetic liner filled by sand, with a diameter typically between 50 mm and 150 mm. In current practice, artificial drains are used that typically comprise a geosynthetic sleeve with a synthetic core through which water can flow axially in the drain to the outlet. The selected drain dimensions and geotextile material properties depend on the test results on the soil referred to above. The diameters need not be equal along the entire length of the drains 301a, 301b, . . . , 301d. Consecutive draining actions may be performed with different drain dimensions. For example, it is sometimes efficient to complete densification in two main phases on very loose and weak deposits. The first phase has a focus on shallower material to a depth of several meters and may use lighter probes and lighter equipment. The second main phase targets the deeper soil layers to densify the loose material.
[0071] Each outlet 303a, 303b . . . may further be connected to at least one vacuum pump 304 to enhance the rate of drainage. The use of one or more vacuum pumps 304 with the drains 301a, 301b, . . . , 301d serves three main purposes. (a) The applied vacuum increases the hydraulic gradient thereby increasing the flow of water to the drains 301a, 301b, . . . , 301d from the soil being densified. (b) The pore fluid removed from the ground during densification is piped away for controlled disposal in an environmentally satisfactory manner. (c) The effective (inter-particle) stresses in the ground are increased by the applied vacuum pressure which, near the ground surface, greatly enhances surface bearing capacity for site access.
[0072]
[0073]
[0074] In other words, according to the embodiment of
[0075] The spacing between the vertical drains (or horizontal drains, which are described below) is determined based on at least one of permeability of the soil, a drainage speed, and a vacuum pressure applied to the drains.
[0076] As shown in
[0077] Voltage differences in the range 25-100 V DC, can be applied to the electrically conductive materials 410a and 410e of adjacent drains. They then act as electrodes (anodes/cathodes), and with a certain electric potential difference between such adjacent drains, these electrodes direct the water molecules flow to the respective electrode (drain). The induced electrical gradient enhances the permeability of the soil materials and the flow of pore fluid through such materials, especially those fine-grained, in a cost-effective manner.
[0078] Although the feature relating to application of voltage is shown using the example of a vertical drain in
[0079] As mentioned, with the pore fluid sufficiently drained, application of vibrations offers an effective manner of densification of soil comprising silt. Vibrations can be applied externally from above the upper surface of the ground soil, e.g. via surcharge loading or by impacting the upper surface of the ground soil using e.g. a mechanical load, or a surface vibrator, or internally from below the upper surface of the ground soil, via vibratory probes. Before applying vibrations, one or more soil locations for applying vibration are determined. The soil locations may lie at one or more locations on the upper surface of the ground soil, at the same depth in the soil body or different depths in the soil body. Such determination may be performed by a manual or an apparatus controller based on results of the earlier mentioned tests.
[0080]
[0081] At least one vibratory probe 404 may be used for the purpose of densification of the soil. Probing locations of the at least one vibratory probe 404 in the amount of soil are determined based on the position of a drain beneath the upper surface of the ground soil.
[0082] Each vibratory probe 404 comprises a circular or elliptical body 405 with a curved cross section, as shown in
[0083] At or near an end portion of the vibratory probe 404 is the vibratory part 407 which vibrates as the probe 404 penetrates the upper surface of the ground soil into the soil body. Fluid pressure generated by vibration reduces the vertical effort required for the probe to penetrate the ground or for subsequent extraction. The vibratory probe 404 may penetrate the soil and be drawn upwards. This process may be repeated multiple times for optimal densification. A total of 2 to 5 repetitions of vibration treatment at any location may be used, depending on the target densification to be achieved and to ensure a uniform settlement across the soil site.
[0084] For fine grained silty materials, a relatively high frequency of vibration is often effective. The frequency of vibration may be >10 Hz, e.g., range from 10-50 Hz, 50-100 Hz or even up to about 150 Hz.
[0085] The vibratory probe 404 may further comprise a plurality of vanes 406a, . . . , 406d, which form plates extending from the body 405 of the probe equipment. Though shown to be positioned at the end portion near the vibratory part 407, vanes 406a, . . . , 406d may be situated at any portion of the body of the probe 404 as long as they can contact an amount of soil during penetration motion of the probe. The vanes maximize a contact area between the probe and the soil. The vanes may be perforated to further enhance contact between the vibrating probe 404 and the material to be densified. Any number of protruding vanes may be used, although two or four would be a typical number.
[0086] A plurality of probes 404 may be operated simultaneously at various locations in the amount of soil. The spacing between multiple probes 404 may be determined in proportion to the spacing between the drains and/or their layout. The vibration may be caused by torsional, vertical and horizontal vibratory displacement of the probe, or any combination of these. The depth of the probe can be adjusted as densification proceeds, and cycles of densification with the probe at different soil depths (Z) may be used.
[0087] According to an embodiment, in a multiple probe configuration, the phase of vibration between probes may be adjusted locally to displace the soil in a manner that amplifies the excitation and resulting densification of the soil.
[0088] The probe 404 may also include a vacuum drainage system to remove excess water from material immediately adjacent to the probe, enhancing the transmission of vibration from the probe 404 to the surrounding loose material. When the probe 404 also permits drainage of fluid from the amount of soil, such drainage flow may be switched off intermittently. This increases fluid pressure adjacent to the probe 404 and reduces the force needed to move the probe 404 downward or upward. Further, the probes may be equipped with water jets to overcome locally excessive resistance to penetration or to assist extraction in possibly hard soil layers or in well densified material.
[0089] According to an embodiment, like the vertical drains 301a, 301b, . . . the probe 404 may also be provided with an electrically conductive material (not shown). With the probe 404 in an inserted position, a voltage may be applied to this electrically conductive material, to create an electrical gradient, e.g., to an adjacent drain. The skilled person understands that voltages may be applied in said manner also in any embodiment relating to a horizontal drain. Such voltages may also be in the range of the range 25-100 V DC, more preferably, 50-100 V DC.
[0090] One or more of the drains 301a, 301b, . . . may be made of a geosynthetic material. Prefabricated drains made from synthetic textile materials have proved to be faster and simpler to install, typically by direct push into the amount of soil using a mandrel. Each drain 301a, 301b, . . . may have a cover and a core (not shown). The material specifications of the geotextile cover and core are selected based on a type of soil to be drained (to prevent clogging) and the maximum volume flow of water/fluid through the drain. It may thus depend on soil permeability and an estimated volume of water/fluid to be removed.
[0091] Typically, the drains 301a, 301b, . . . are flat rolled, with dimensions typically of the order 100-200 mm width and 3 to 5 mm thick, before they are installed in the amount of soil.
[0092]
[0093] The prefabricated drain is normally stored in rolled form and the drain 301a is positioned in a metal guide or mandrel 502. The mandrel containing the prefabricated drain is then inserted into the amount of soil to a predetermined depth Z m in the soil body. In other words, vertical drain 301a is pushed vertically downwards into the amount of soil by mandrel 502. Mandrel 502 is subsequently extracted from the amount of soil while leaving in place the installed drain extending to a depth in the soil Z m.
[0094] A mandrel 502 is a metal guide that contains the unrolled drain. It can be cylindrical or rectangular, depending on the shape of the rolled drain or other factors. The drain may be held in place at the bottom of the mandrel by attachment to a false end piece, or by being wrapped around a bar across the end of the mandrel. During insertion the mandrel 502 remains attached to the drain 301a. After insertion, the mandrel 502 is withdrawn and naturally leaves the drain 301a in place with the false end piece or bar.
[0095] In case of a horizontal drain, the prefabricated drains are installed horizontally below the upper surface of the ground soil.
[0096] As described above, a drain may be vertical or horizontal in configuration.
[0097]
[0098]
[0099] Although not shown, the skilled person understands that a single outlet and pump configuration is also possible. The technical effects of using vacuum extraction are described above. Moreover, although three horizontal drains 601a, 601b, 601 c are shown, any other number of drains in any desired configuration may be applied, including at different depths inside the soil.
[0100] As shown in
[0101] As indicated, before applying vibrations, one or more soil locations for applying vibration are determined. These locations may be determined based on the positions of the drains and/or their layout.
[0102]
[0103] The figure is a top view representation. Axes X and Y lie perpendicular to each other, but parallel to the upper surface of the ground soil. Axis Z is not shown.
[0104] Entities 301a, 301b, 301e, 301f . . . represent vertical drains installed below the upper surface of the ground soil. The outlets of these drains may be connected to a vacuum pump 304 positioned on the upper surface of the ground soil for fluid extraction as described above.
[0105] In case of multiple probe locations, these locations may be chosen to lie around the elongated body (not shown) of a vertical drain e.g., 301f at a predetermined depth in the soil body. At any certain depth Z m below the soil surface, the probe locations may lie equidistant from a centre point on the median plane of the elongated body. The points may lie on a transverse plane of the elongated body.
[0106] Seen from above as in
[0107] According to an embodiment, if vertical drains 00, 01, 10 and 11 are positioned in a 22 array, with drains 00, 01 in row 0, 10 and 11 in row 1 without a horizontal offset between a drain 00 and 10, then a vibration point may simply lie at the centre point between the drains 00 and 10.
[0108]
[0109] Entities 601a, 601d, 601e, 601f represent horizontal drains installed below the upper surface of the ground soil. These drains are shown installed parallel to each other along a Y direction parallel to the upper surface of the ground soil. The drains may be installed at the same depth Z m below the upper surface of the ground soil, with their outlet pairs 6031a-6032a, 6031d-6032d, 6031e-6032e and 6031f-6032f connected to vacuum pumps 604A and 604B. A first plurality of probing locations 802a . . . 802n are disposed between an elongated body 602a of horizontal drain 601a and an elongated body 602d of horizontal drain 601d. Similarly, a second plurality of probing locations may be disposed between an elongated body of horizontal drain 601d and an elongated body of horizontal drain 601e, and so on.
[0110]
[0111] The system 900 comprises at least one draining unit 901. The at least one draining unit 901 may comprise a fluid extractor 906 (a horizontal or vertical drains as described above), or a combination of the fluid extractor (drain installation) 906 and a vacuum pump 905. The system further comprises at least one vibration unit 902 for applying vibration to densify the amount of soil. As indicated, the vibration unit 902 may be an external vibration unit 902 which applies vibration to the upper surface of the ground soil or an internal vibration unit 902 which applies vibration below the upper surface of the ground soil. A controller 903 controls the draining unit 901 and the vibration unit 902 to extract at least part of the fluid from the amount of soil, often enhanced by the application of vacuum pressure, while at least during an overlapping time period to apply vibration to the one or more soil locations in order to densify the amount of soil. The controller 903 may be further configured to determine whether the fluid extractor should be arranged to be vertically or horizontally disposed beneath the upper surface of the ground soil in dependence on results of test measurements performed on the soil.
[0112] The system 900 may further comprise a voltage generator 904 connected to the controller 903, so that the controller 903 controls the voltage generator 904 to provide a voltage to a first electrically conductive material on a first drain and a second electrically conductive material on a second drain and/or a vibratory unit 902.
[0113]
[0114] Step 1001 comprises providing a drain installation in an amount of soil with fine-grained material below the upper surface of the ground soil, as well as vibration unit 902. The drain installation may be installed in at least one of a vertical or horizontal direction. Step 1002 comprises determining one or more ground soil locations for applying vibration to the amount of soil. This may be determined based on the position and/or type of drain installation. Step 1003 includes extracting at least part of fluid from the amount of soil using the drain installation, preferably enhanced by applied vacuum pressure, while at least during an overlapping time period applying vibration to the one or more soil locations in order to densify the amount of soil.
[0115] While the invention has been particularly shown and described with reference to certain exemplary embodiments thereof, it will be understood by those of ordinary skill in the art that various changes in form and detail may be made therein without departing from the scope of the present invention as defined by the appended claims and equivalents thereof.